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Journal articles on the topic 'Quantum Mechanical Coupling'

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Author: Grafiati

Published: 7 September 2023

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1

Manukhova, Alisa D., Andrey A. Rakhubovsky, and Radim Filip. "Atom-Mechanical Hong-Ou-Mandel Interference." Quantum 6 (April 13, 2022): 686. http://dx.doi.org/10.22331/q-2022-04-13-686.

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Quantum coupling between mechanical oscillators and atomic gases generating entanglement has been recently experimentally demonstrated using their subsequent interaction with light. The next step is to build a hybrid atom-mechanical quantum gate showing bosonic interference effects of single quanta in the atoms and oscillators. We propose an experimental test of Hong-Ou-Mandel interference between single phononic excitation and single collective excitation of atoms using the optical connection between them. A single optical pulse is sufficient to build a hybrid quantum-nondemolition gate to observe the bunching of such different quanta. The output atomic-mechanical state exhibits a probability of a hybrid bunching effect that proves its nonclassical aspects. This proposal opens a feasible road to broadly test such advanced quantum bunching phenomena in a hybrid system with different specific couplings.

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2

Barrios, Gabriel, Francisco Peña, Francisco Albarrán-Arriagada, Patricio Vargas, and Juan Retamal. "Quantum Mechanical Engine for the Quantum Rabi Model." Entropy 20, no. 10 (October 7, 2018): 767. http://dx.doi.org/10.3390/e20100767.

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We consider a purely mechanical quantum cycle comprised of adiabatic and isoenergetic processes. In the latter, the system interacts with an energy bath keeping constant the expectation value of the Hamiltonian. In this work, we study the performance of the quantum cycle for a system described by the quantum Rabi model for the case of controlling the coupling strength parameter, the resonator frequency, and the two-level system frequency. For the cases of controlling either the coupling strength parameter or the resonator frequency, we find that it is possible to closely approach to maximal unit efficiency when the parameter is sufficiently increased in the first adiabatic stage. In addition, for the first two cases the maximal work extracted is obtained at parameter values corresponding to high efficiency, which constitutes an improvement over current proposals of this cycle.

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3

Zloshchastiev, Konstantin G. "On the Dynamical Nature of Nonlinear Coupling of Logarithmic Quantum Wave Equation, Everett-Hirschman Entropy and Temperature." Zeitschrift für Naturforschung A 73, no. 7 (July 26, 2018): 619–28. http://dx.doi.org/10.1515/zna-2018-0096.

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AbstractWe study the dynamical behavior of the nonlinear coupling of a logarithmic quantum wave equation. Using the statistical mechanical arguments for a large class of many-body systems, this coupling is shown to be related to temperature, which is a thermodynamic conjugate to the Everett-Hirschman’s quantum information entropy. A combined quantum-mechanical and field-theoretical model is proposed, which leads to a logarithmic equation with variable nonlinear coupling. We study its properties and present arguments regarding its nature and interpretation, including the connection to Landauer’s principle. We also demonstrate that our model is able to describe linear quantum-mechanical systems with shape-changing external potentials.

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4

Heinekey, D. Michael, Amber S. Hinkle, and John D. Close. "Quantum Mechanical Exchange Coupling in Iridium Trihydride Complexes." Journal of the American Chemical Society 118, no. 23 (January 1996): 5353–61. http://dx.doi.org/10.1021/ja952142c.

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5

Wang, Jing-Jing, Ming-Song Ding, Li Xiong, and Li Zheng. "Enhancement of feasibility of macroscopic quantum superposition state with the quantum Rabi-Stark model." Communications in Theoretical Physics 74, no. 3 (March 1, 2022): 035105. http://dx.doi.org/10.1088/1572-9494/ac531b.

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Abstract We propose an efficient scheme to generate a macroscopical quantum superposition state with a cavity optomechanical system, which is composed of a quantum Rabi-Stark model coupling to a mechanical oscillator. In a low-energy subspace of the Rabi-Stark model, the dressed states and then the effective Hamiltonian of the system are given. Due to the coupling of the mechanical oscillator and the atom-cavity system, if the initial state of the atom-cavity system is one of the dressed states, the mechanical oscillator will evolve into a corresponding coherent state. Thus, if the initial state of the atom-cavity system is a superposition of two dressed states, a coherent state superposition of the mechanical oscillator can be generated. The quantum coherence and their distinguishable properties of the two coherent states are exhibited by Wigner distribution. We show that the Stark term can enhance significantly the feasibility and quantum coherence of the generated macroscopic quantum superposition state of the oscillator.

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6

Karg, Thomas M., Baptiste Gouraud, Chun Tat Ngai, Gian-Luca Schmid, Klemens Hammerer, and Philipp Treutlein. "Light-mediated strong coupling between a mechanical oscillator and atomic spins 1 meter apart." Science 369, no. 6500 (May 7, 2020): 174–79. http://dx.doi.org/10.1126/science.abb0328.

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Engineering strong interactions between quantum systems is essential for many phenomena of quantum physics and technology. Typically, strong coupling relies on short-range forces or on placing the systems in high-quality electromagnetic resonators, which restricts the range of the coupling to small distances. We used a free-space laser beam to strongly couple a collective atomic spin and a micromechanical membrane over a distance of 1 meter in a room-temperature environment. The coupling is highly tunable and allows the observation of normal-mode splitting, coherent energy exchange oscillations, two-mode thermal noise squeezing, and dissipative coupling. Our approach to engineering coherent long-distance interactions with light makes it possible to couple very different systems in a modular way, opening up a range of opportunities for quantum control and coherent feedback networks.

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7

Mavromatos, N. E., and D. V. Nanopoulos. "On Quantum Mechanical Aspects of Microtubules." International Journal of Modern Physics B 12, no. 05 (February 20, 1998): 517–42. http://dx.doi.org/10.1142/s0217979298000326.

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We discuss possible quantum mechanical aspects of MicroTubules (MT), based on recent developments in quantum physics. We focus on potential mechanisms for "energy-loss-free" transport along the microtubules, which could be considered as realizations of Fröhlich's ideas on the rôle of solitons for superconductivity and/or biological matter. In particular, by representing the MT arrangements as cavities, we present a novel scenario on the formation of macroscopic (or mesoscopic) quantum-coherent states, as a result of the (quantum-electromagnetic) interactions of the MT dimers with the surrounding molecules of the ordered water in the interior of the MT cylinders. Such states decohere due to dissipation through the walls of the MT. Transfer of energy without dissipation, due to such coherent modes, could occur only if the decoherence time is larger than the average time scale required for energy transfer across the cells. We present some generic order of magnitude estimates or the decoherence time in a typical model for MT dynamics. Our conclusion is that the quantum coherent states play a rôle in energy transfer if the dissipation through the walls of the MT cavities is fairly suppressed, corresponding to damping time scales Tr≥10-4-10-5 sec, for moderately large MT networks. We suggest specific experiments to test the above-conjectured quantum nature of the microtubular arrangements inside the cell. These experiments are similar in nature to those in atomic physics, used in the detection of the Rabi-Vacuum coupling between coherent cavity modes and atoms. Our conjecture is that a similar Rabi-Vacuum-splitting phenomenon occurs in the absorption (or emission) spectra of the MT dimers, which would constitute a manifestation of the dimer coupling with the coherent modes in the ordered-water environment (dipole quanta), which emerge due to "super-radiance".

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8

Sabo-Etienne, Sylviane, and Bruno Chaudret. "Quantum Mechanical Exchange Coupling in Polyhydride and Dihydrogen Complexes." Chemical Reviews 98, no. 6 (September 1998): 2077–92. http://dx.doi.org/10.1021/cr9601066.

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9

Schmitt, H. A., and A. Mufti. "Noncompact orthosympletic supersymmetry: an example from N = 1, d = 1 supersymmetric quantum mechanics." Canadian Journal of Physics 68, no. 12 (December 1, 1990): 1454–55. http://dx.doi.org/10.1139/p90-208.

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The supersymmetric quantum mechanical harmonic oscillator, a particular example of an N = 1, d = 1 supersymmetric quantum mechanical model, is used to construct a Hamiltonian exhibiting a noncompact orthosymplectic supersymmetry. This Hamiltonian is the strong-coupling limit of the Jaynes–Cummings model.

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10

Aporvari, Ahmad Shafiei, and David Vitali. "Strong Coupling Optomechanics Mediated by a Qubit in the Dispersive Regime." Entropy 23, no. 8 (July 27, 2021): 966. http://dx.doi.org/10.3390/e23080966.

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Cavity optomechanics represents a flexible platform for the implementation of quantum technologies, useful in particular for the realization of quantum interfaces, quantum sensors and quantum information processing. However, the dispersive, radiation–pressure interaction between the mechanical and the electromagnetic modes is typically very weak, harnessing up to now the demonstration of interesting nonlinear dynamics and quantum control at the single photon level. It has already been shown both theoretically and experimentally that if the interaction is mediated by a Josephson circuit, one can have an effective dynamics corresponding to a huge enhancement of the single-photon optomechanical coupling. Here we analyze in detail this phenomenon in the general case when the cavity mode and the mechanical mode interact via an off-resonant qubit. Using a Schrieffer–Wolff approximation treatment, we determine the regime where this tripartite hybrid system behaves as an effective cavity optomechanical system in the strong coupling regime.

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11

Braak, D., and J. Mannhart. "Fermi’s Golden Rule and the Second Law of Thermodynamics." Foundations of Physics 50, no. 11 (September 18, 2020): 1509–40. http://dx.doi.org/10.1007/s10701-020-00380-2.

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AbstractWe present a Gedankenexperiment that leads to a violation of detailed balance if quantum mechanical transition probabilities are treated in the usual way by applying Fermi’s “golden rule”. This Gedankenexperiment introduces a collection of two-level systems that absorb and emit radiation randomly through non-reciprocal coupling to a waveguide, as realized in specific chiral quantum optical systems. The non-reciprocal coupling is modeled by a hermitean Hamiltonian and is compatible with the time-reversal invariance of unitary quantum dynamics. Surprisingly, the combination of non-reciprocity with probabilistic radiation processes entails negative entropy production. Although the considered system appears to fulfill all conditions for Markovian stochastic dynamics, such a dynamics violates the Clausius inequality, a formulation of the second law of thermodynamics. Several implications concerning the interpretation of the quantum mechanical formalism are discussed.

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12

Enrique-Romero, Joan, Albert Rimola, Cecilia Ceccarelli, Piero Ugliengo, Nadia Balucani, and Dimitrios Skouteris. "Quantum Mechanical Simulations of the Radical–Radical Chemistry on Icy Surfaces." Astrophysical Journal Supplement Series 259, no. 2 (March 22, 2022): 39. http://dx.doi.org/10.3847/1538-4365/ac480e.

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Abstract The formation of the interstellar complex organic molecules (iCOMs) is a hot topic in astrochemistry. One of the main paradigms trying to reproduce the observations postulates that iCOMs are formed on the ice mantles covering the interstellar dust grains as a result of radical–radical coupling reactions. We investigate iCOM formation on the icy surfaces by means of computational quantum mechanical methods. In particular, we study the coupling and direct hydrogen abstraction reactions involving the CH3 + X systems (X = NH2, CH3, HCO, CH3O, CH2OH) and HCO + Y (Y = HCO, CH3O, CH2OH), plus the CH2OH + CH2OH and CH3O + CH3O systems. We computed the activation energy barriers of these reactions, as well as the binding energies of all the studied radicals, by means of density functional theory calculations on two ice water models, made of 33 and 18 water molecules. Then, we estimated the efficiency of each reaction using the reaction activation, desorption, and diffusion energies and derived kinetics with the Eyring equations. We find that radical–radical chemistry on surfaces is not as straightforward as usually assumed. In some cases, direct H-abstraction reactions can compete with radical–radical couplings, while in others they may contain large activation energies. Specifically, we found that (i) ethane, methylamine, and ethylene glycol are the only possible products of the relevant radical–radical reactions; (ii) glyoxal, methyl formate, glycolaldehyde, formamide, dimethyl ether, and ethanol formation is likely in competition with the respective H-abstraction products; and (iii) acetaldehyde and dimethyl peroxide do not seem to be likely grain-surface products.

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13

Yin, Haifeng, and Hong Zhang. "Quantum mechanical study of plasmonic coupling in sodium nanoring dimers." Applied Physics Letters 101, no. 6 (August 6, 2012): 061906. http://dx.doi.org/10.1063/1.4745654.

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14

Esteruelas, Miguel A., Fernando J. Lahoz, Ana M. López, Enrique Oñate, Luis A. Oro, Natividad Ruiz, Eduardo Sola, and José I. Tolosa. "Quantum Mechanical Exchange Coupling in Trihydridoosmium Complexes Containing Azole Ligands." Inorganic Chemistry 35, no. 26 (January 1996): 7811–17. http://dx.doi.org/10.1021/ic960446+.

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15

Fan, Castaly, and Larry Zamick. "Matrix model: Emergence of a quantum number in the strong coupling regime." International Journal of Modern Physics E 30, no. 07 (July 2021): 2150059. http://dx.doi.org/10.1142/s0218301321500592.

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We continue here to study simple matrix models of quantum mechanical Hamiltonians. The eigenvalues and eigenfunctions were associated energy levels and wave functions. Whereas previously, we considered the weak coupling limits of our models, we here address the more difficult strong coupling limits. We find that the wave functions fall into two classes and we can assign a quantum number to distinguish them. Implications for transition rates are also discussed.

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16

YANG, RAN, XUEFEI GONG, SHOUYONG PEI, ZIREN LUO, and Y. K. LAU. "MACROSCOPIC QUANTUM MECHANICS AND SINGLE-PHOTON MICHELSON INTERFEROMETRY." International Journal of Modern Physics D 20, no. 10 (September 2011): 2093–98. http://dx.doi.org/10.1142/s0218271811020238.

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Single-photon Michelson interferometry as a probe to macroscopic quantum mechanics is considered. With dual output readout at both the bright and dark ports, it is shown that a nonlocal, linear superposition of two Schrödinger cats may be generated by the opto-mechanical coupling of a single photon with a movable macroscopic quantum mirror in one arm of the interferometer. With a balanced homodyne readout scheme, a CHSH inequality may be formulated and the violation of which serves to verify the nonlocality of the two spacelike separated Schrödinger cats. The relevance of this result in our understanding of possible wave function collapse dynamics is briefly touched upon. Macroscopic entangled state of two mirrors generated by opto-mechanical coupling and the associated CHSH inequality are also discussed.

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17

Wang, Yue, Ghulam Bary, Riaz Ahmad, Dameng Yin, Shiwei Xie, Qing Lu, Ilyas Khan, Nawa Alshammari, Nawaf N. Hamadneh, and Mulugeta Andualemb. "Numerical Study of Duffing Nonlinearity in the Quantum Dot Embedded Nanomechanical Resonator." Mathematical Problems in Engineering 2021 (November 24, 2021): 1–8. http://dx.doi.org/10.1155/2021/2717507.

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Geometry, electrostatics, and single-electron tunneling contribute to the nonlinearity in the quantum dot embedded nanomechanical resonator, while “Duffing term” is a kind of mathematics describing the third-order nonlinearity of the system as a whole. We study theoretically the influence of a variation of a mathematical parameter Fuffing term on the actual physical effect. The position probability distribution, the average current, and the displacement fluctuation spectrum with the different Duffing parameter and electromechanical coupling are obtained through numerically calculating the Fokker Planck equation. The mechanical bistability has been described by these quantities under different electromechanical coupling and Duffing parameters. We conclude that the nonlinearities of the nanotube resonator contribute to the mechanical bistability, which induces the asymmetry of the position probability distribution, compresses the current, and softens or stiffens the mechanical resonance frequency as the same as the electromechanical coupling to use it in mechanical engineering.

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18

Le Coq, Yann, Klaus Mølmer, and Signe Seidelin. "Position- and momentum-squeezed quantum states in micro-scale mechanical resonators." Modern Physics Letters B 34, no. 17 (March 18, 2020): 2050193. http://dx.doi.org/10.1142/s0217984920501936.

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A challenge of modern physics is to investigate the quantum behavior of a bulk material object, for instance a mechanical oscillator. We have earlier demonstrated that by coupling a mechanical oscillator to the energy levels of embedded rare-earth ion dopants, it is possible to prepare such a resonator in a low phonon number state. Here, we describe how to extend this protocol in order to prepare momentum- and position-squeezed states, and we analyze how the obtainable degree of squeezing depends on the initial conditions and on the coupling of the oscillator to its thermal environment.

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19

Al Ba’ba’a, H., X. Zhu, and Q. Wang. "Enabling novel dispersion and topological characteristics in mechanical lattices via stable negative inertial coupling." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2252 (August 2021): 20200820. http://dx.doi.org/10.1098/rspa.2020.0820.

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Mechanical topological insulators have enabled a myriad of unprecedented characteristics that are otherwise not conceivable in traditional periodic structures. While rich in dynamics, new developments in the domain of mechanical topological systems are hindered by their inherent inability to exhibit negative elastic or inertial couplings owing to the inevitable loss of dynamical stability. The aim of this paper is, therefore, to remedy this challenge by introducing a class of architected inertial metamaterials (AIMs) as a platform for designing mechanical lattices with novel topological and dispersion traits. We show that carefully coupling elastically supported masses via moment-free rigid linkages invokes a dynamically stable negative inertial coupling, which is essential for topological classes in need of such negative interconnection. The potential of the proposed AIMs is demonstrated via three examples: (i) a mechanical analogue of Majorana edge states, (ii) a square diatomic AIM that can sustain the quantum valley Hall effect (classically arising in hexagonal lattices), and (iii) a square tetratomic AIM with topological corner modes. We envision that the presented framework will pave the way for a plethora of robust topological mechanical systems.

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20

Pelton, Matthew, S. David Storm, and Haixu Leng. "Strong coupling of emitters to single plasmonic nanoparticles: exciton-induced transparency and Rabi splitting." Nanoscale 11, no. 31 (2019): 14540–52. http://dx.doi.org/10.1039/c9nr05044b.

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21

Dong, Yang, Haobin Lin, Wei Zhu, and Fangwen Sun. "High-sensitivity double-quantum magnetometry in diamond via quantum control." JUSTC 52, no. 3 (2022): 3. http://dx.doi.org/10.52396/justc-2021-0249.

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High-fidelity quantum operation of qubits plays an important role in magnetometry based on nitrogen-vacancy (NV) centers in diamonds. However, the nontrivial spin-spin coupling of the NV center decreases signal contrast and sensitivity. Here, we overcome this limitation by exploiting the amplitude modulation of microwaves, which allows us to perfectly detect magnetic signals at low fields. Compared with the traditional double-quantum sensing protocol, the full contrast of the detection signal was recovered, and the sensitivity was enhanced three times in the experiment. Our method is applicable to a wide range of sensing tasks, such as temperature, strain, and electric field.

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22

Biswas, P. K., and V. Gogonea. "A regularized and renormalized electrostatic coupling Hamiltonian for hybrid quantum-mechanical–molecular-mechanical calculations." Journal of Chemical Physics 123, no. 16 (October 22, 2005): 164114. http://dx.doi.org/10.1063/1.2064907.

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23

Hatifi, Mohamed, Dimitrije Mara, Bojana Bokic, Rik Van Deun, Brian Stout, Emmanuel Lassalle, Branko Kolaric, and Thomas Durt. "Fluorimetry in the Strong-Coupling Regime: From a Fundamental Perspective to Engineering New Tools for Tracing and Marking Materials and Objects." Applied Sciences 12, no. 18 (September 15, 2022): 9238. http://dx.doi.org/10.3390/app12189238.

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Under exceptional circumstances, light and molecules bond together, creating new hybrid light–matter states with far-reaching consequences for these strongly coupled entities. The present article describes the quantum-mechanical foundation of strong-coupling and experimental evidence for molding the radiation properties of nanoprobes by strong-coupling. When applied to tracing and marking, the new fluorometry technique proposed here, which harnesses strong-coupling, has a triple advantage compared to its classical counterparts such as DNA tracing. It is fast, and its signal-to-noise ratio can be improved by spectral filtering; moreover, it reveals a specific quantum signature of the strong-coupling, which is extremely difficult to reproduce classically, thereby opening the door to new anti-counterfeiting strategies.

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24

HAKEN, H. "NOISE AND CORRELATED TRANSPORT IN ION CHANNELS." Fluctuation and Noise Letters 04, no. 01 (March 2004): L171—L178. http://dx.doi.org/10.1142/s021947750400177x.

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The motion of an ion through a channel is described as a classical/quantum mechanical hopping process between the individual sites of a channel. The transition rates are due to the coupling of an ion to suitable reservoirs. If fluctuating forces are added to the rate equations for the occupation numbers, the equations become quantum mechanical operator equations. Using previous results, the fluctuating forces are uniquely determined by the requirement of quantum mechanical consistency. The resulting equations are solved for several cases and the occupation number fluctuations discussed. Particular emphasis is laid on a model of correlated transport.

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25

Qian, Dong, Wing Kam Liu, and Qingjin Zheng. "Concurrent quantum/continuum coupling analysis of nanostructures." Computer Methods in Applied Mechanics and Engineering 197, no. 41-42 (July 2008): 3291–323. http://dx.doi.org/10.1016/j.cma.2008.01.007.

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26

Dibenedetto, Carlo Nazareno, Elisabetta Fanizza, Liberato De Caro, Rosaria Brescia, Annamaria Panniello, Raffaele Tommasi, Chiara Ingrosso, et al. "Coupling in quantum dot molecular hetero-assemblies." Materials Research Bulletin 146 (February 2022): 111578. http://dx.doi.org/10.1016/j.materresbull.2021.111578.

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27

Yeo, I., P.-L. de Assis, A. Gloppe, E. Dupont-Ferrier, P. Verlot, N. S. Malik, E. Dupuy, et al. "Strain-mediated coupling in a quantum dot–mechanical oscillator hybrid system." Nature Nanotechnology 9, no. 2 (December 22, 2013): 106–10. http://dx.doi.org/10.1038/nnano.2013.274.

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28

Asiri, Saeed, Zeyang Liao, and M. Suhail Zubairy. "Reconstruction of quantum state of mechanical mirror via polariton-phonon coupling." Physica Scripta 93, no. 12 (October 24, 2018): 124002. http://dx.doi.org/10.1088/1402-4896/aae515.

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29

Spethmann, Nicolas, Jonathan Kohler, Sydney Schreppler, Lukas Buchmann, and Dan M. Stamper-Kurn. "Cavity-mediated coupling of mechanical oscillators limited by quantum back-action." Nature Physics 12, no. 1 (October 19, 2015): 27–31. http://dx.doi.org/10.1038/nphys3515.

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30

Grigolini, Paolo, Riccardo Mannella, Roberto Roncaglia, and David Vitali. "Quantum-mechanical dissipation: From the weak- to the strong-coupling limit." Physical Review A 41, no. 12 (June 1, 1990): 6625–34. http://dx.doi.org/10.1103/physreva.41.6625.

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31

Narejo, Ghous B. "Ab-initio quantum mechanical model for spin-strain coupling in ferroics." International Journal of Scientific and Engineering Research 6, no. 1 (January 25, 2015): 1856–90. http://dx.doi.org/10.14299/ijser.2015.01.017.

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SABO-ETIENNE, S., and B. CHAUDRET. "ChemInform Abstract: Quantum Mechanical Exchange Coupling in Polyhydride and Dihydrogen Complexes." ChemInform 29, no. 50 (June 18, 2010): no. http://dx.doi.org/10.1002/chin.199850300.

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Wang, Zhihang, Lingyao Li, Shibo Wei, Xiaoqi Shi, Jiamin Xiao, Zhicheng Guo, Wei Wang, Yi Wang, and Wenxin Wang. "Manipulating light–matter interaction into strong coupling regime for photon entanglement in plasmonic lattices." Journal of Applied Physics 133, no. 6 (February 14, 2023): 063101. http://dx.doi.org/10.1063/5.0135493.

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Enhancing light–matter interaction into the strong coupling regime attracts tremendous attention in both theory and experiment, which presents essential significance in research from nano-optics to quantum information. In this work, the entanglement effect is observed in the photons emitted from a plasmonic lattice as the coherent light–matter interaction occurs into the strong coupling regime with a Rabi splitting of 93.4 meV. A full quantum mechanical treatment based on the number state representation is established to reveal the underlying physics of the strong coupling phenomenon, especially the femtosecond dynamics of energy exchange and damping. The entangled split states display oscillating concurrence and negative Wigner quasiprobability distribution function, which demonstrates that this designed plasmonic lattice system can serve as an on-demand entangled photon source for quantum information.

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Aste, Andreas. "Perturbative quantum gauge invariance: where the ghosts come from." Canadian Journal of Physics 83, no. 2 (February 1, 2005): 139–63. http://dx.doi.org/10.1139/p04-064.

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A condensed introduction to quantum gauge theories is given in the perturbative S-matrix framework, with path-integral methods used nowhere. This approach emphasizes the fact that it is not necessary to start from classical gauge theories that are then subject to quantization: it is possible, instead, to recover the classical group structure and coupling properties from purely quantum-mechanical principles. As a main tool, we use a free-field version of the BecchiRouetStoraTyutin gauge transformation, which contains no interaction terms related to a coupling constant. This free gauge transformation can be formulated in an analogous way for quantum electrodynamics, YangMills theories with massless or massive gauge bosons, and quantum gravity. PACS Nos.: 11.10.z, 11.15.Bt, 12.20.Ds, 12.38.Bx

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CORTÉS, J. L., J. GAMBOA, and L. VELÁZQUEZ. "ELECTROMAGNETIC INTERACTION OF ANYONS IN NONRELATIVISTIC QUANTUM FIELD THEORY." International Journal of Modern Physics A 09, no. 06 (March 10, 1994): 953–67. http://dx.doi.org/10.1142/s0217751x94000431.

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The nonrelativistic quantum-field-theoretic Lagrangian which describes an anyon system in the presence of an electromagnetic field is identified. A nonminimal magnetic coupling to the Chern–Simons statistical field as well as to the electromagnetic field together with a direct coupling between both fields are the nontrivial ingredients of the Lagrangian obtained from the nonrelativistic limit of the fermionic relativistic formulation. The results, an electromagnetic gyromagnetic ratio 2 for any spin together with a nontrivial dynamical spin-dependent contact interaction between anyons as well as the spin dependence of the electromagnetic effective action, agree with the quantum-mechanical formulation.

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Pan, Guixia, Ruijie Xiao, and Chengbo Zhai. "Enhanced multicolor optomechanically induced transparency in electro-optical hybrid system." Laser Physics 32, no. 7 (May 23, 2022): 075202. http://dx.doi.org/10.1088/1555-6611/ac6e45.

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Abstract We investigate the tunable multicolor optomechanically induced transparency through electro-optical hybrid system. The system consists an optical cavity fulled with three-level atomic ensemble and two charged mechanical oscillators coupled via Coulomb interaction. Under different coupling strengths, the system can exhibit the phenomena of optomechanical induced transparency increase. Specifically, the number of the transparency windows increases with the presence of charged mechanical resonators and atoms. Furthermore, the induced transparency phenomena are strongly manipulated by the coupling strength between the optical mode and the mechanical mode, or between the optical mode and the atoms and the Rabi frequency, or between the Coulomb coupling between the two charged mechanical modes. It is found that the larger coupling strength between the cavity field and the atoms and the mechanical oscillator, the wider transparent windows. Our approach is feasible for storage of light and has potential applications in quantum information processing.

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Babenko, V. A., and N. M. Petrov. "On the quantum anharmonic oscillator and Padé approximations." Nuclear Physics and Atomic Energy 22, no. 2 (June 25, 2021): 127–42. http://dx.doi.org/10.15407/jnpae2021.02.127.

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For the quantum quartic anharmonic oscillator with the Hamiltonian H = (p2+x2)/2+λx4, which is one of the traditional quantum-mechanical and quantum-field-theory models, we study summation of its factorially divergent perturbation series by the proposed method of averaging of the corresponding Padé approximants. Thus, for the first time, we are able to construct the Padé-type approximations that possess correct asymptotic behaviour at infinity with a rise of the coupling constant λ. The approach gives very essential theoretical and applicatory-computational advantages in applications of the given method. We also study convergence of the applied approximations and calculate by the proposed method the ground state energy E0(λ) of the anharmonic oscillator for a wide range of variation of the coupling constant λ.

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Xing, Yu-Mei, Lan Chen, Chong Zhang, Zun-Sheng Cai, and Xue-Zhuang Zhao. "Semiclassical and quantum-mechanical study of the reaction mechanism for the N2 + N2+ electron transfer system." Canadian Journal of Chemistry 81, no. 2 (February 1, 2003): 125–32. http://dx.doi.org/10.1139/v03-005.

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Density functional theory (DFT) calculations, including electron correlation, were carried out on the N2 + N2+ electron transfer system. Six geometries of the precursor complex were assumed and their stabilities were calculated and compared. The activation energy, the electronic transmission factor, and the electronic coupling matrix element in the electron transfer process were also calculated. The electronic transmission factor for this system was far less than unity (ca. 0.006~0.09); thus, the electron transfer reaction was considered to be diabatic in nature. Therefore, the electron transfer rate for the selected structures was calculated using semiclassical and quantum-mechanical theories. The calculated values were compared with each other and were in good agreement with the experimental value.Key words: N2 + N2+ electron transfer reaction, semiclassical and quantum-mechanical theories, electronic transmission factor, electronic coupling matrix element, B3LYP.

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39

Najdi, M. A., J. M. AL-Mukh, and H. A. Jassem. "Theoretical Investigation in Coherent Manipulation throughout the Calculation of the Local Density of States in FM-DQD-FM Device." Materials Science Forum 1039 (July 20, 2021): 451–69. http://dx.doi.org/10.4028/www.scientific.net/msf.1039.451.

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In this work, theoretical investigation in coherent manipulation throughout local density of states calculation for serially coupled double quantum dots embedded between ferromagnetic leads (FM-QD1-QD2-FM) by using the non-equilibrium Green's function approach. Since the local density of states are formulated incorporating the spin polarization and the type of spin configuration on the leads. Our model incorporates the inter-dot hopping, the intra-dot Coulomb correlation, the spin exchange energy and the coupling interactions between the quantum dots and leads. The results concerned to the parallel configuration at strong inter-dot coupling regime shows that the spin down electrons in the quantum dots may be more coupled coherently if the regime is tuned. The local density of states of the two dots for spin up electrons shows a broad hump with small splitting i.e. the case is decoherent for spin up electrons. In the case of weak interdot coupling it is obvious that the spin dependent density of states on the quantum dots show that the resonances are not well splitted. For the antiparallel configuration in the strong coupling regime, the spin dependent density of states of the double quantum dots show four peaks but with broaden and overlapping. In the case of weak coupling regime, the total spin dependent density of states, which have two peaks with certain board, one can conclude that the states are not coupled coherently. The case of the antiferromagnetic nature of the spin exchange interaction, our calculations for the parallel and antiparallel configurations (in strong and weak regimes) show a decoherence state.

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Hong, Fang-Yu, Jing-Li Fu, Yan Wu, and Zhi-Yan Zhu. "Electrical control of strong spin-phonon coupling in a carbon nanotube." Quantum Information and Computation 17, no. 1&2 (January 2017): 117–24. http://dx.doi.org/10.26421/qic17.1-2-7.

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We describe an approach to electrically control the strong interaction between a single electron spin and the vibrational motion of a suspended carbon nanotube resonator. The strength of the deflection-induced spin-phonon coupling is dependent on the wavefunction of the electron confined in a lateral carbon nanotube quantum dot. An electrical field along the nanotube shifts the effective center of the quantum dot, leading to the corresponding modification of the spin-phonon strength. Numerical simulations with experimentally reachable parameters show that high fidelity quantum state transfer between mechanical and spin qubits driven by electrical pulses is feasible. Our results form the basis for the fully electrical control of the coherent interconvertion between light and spin qubits and for manufacturing electrically driven quantum information processing systems.

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de Jong, Matthijs H. J., Malte A. ten Wolde, Andrea Cupertino, Simon Gröblacher, Peter G. Steeneken, and Richard A. Norte. "Mechanical dissipation by substrate–mode coupling in SiN resonators." Applied Physics Letters 121, no. 3 (July 18, 2022): 032201. http://dx.doi.org/10.1063/5.0092894.

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State-of-the-art nanomechanical resonators are heralded as a central component for next-generation clocks, filters, resonant sensors, and quantum technologies. To practically build these technologies will require monolithic integration of microchips, resonators, and readout systems. While it is widely seen that mounting microchip substrates into a system can greatly impact the performance of high-Q resonators, a systematic study has remained elusive, owing to the variety of physical processes and factors that influence the dissipation. Here, we analytically analyze a mechanism by which substrates couple to resonators manufactured on them and experimentally demonstrate that this coupling can increase the mechanical dissipation of nanomechanical resonators when resonance frequencies of resonator and substrate coincide. More generally, we then show that a similar coupling mechanism can exist between two adjacent resonators. Since the substrate–mode coupling mechanism strongly depends on both the resonator position on the substrate and the mounting of the substrate, this work provides key design guidelines for high-precision nanomechanical technologies.

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Li, Ming-Cui, and Ai-Xi Chen. "Enhanced Entanglement in Hybrid Cavity Mediated by a Two-way Coupled Quantum Dot." Open Physics 18, no. 1 (February 28, 2020): 14–23. http://dx.doi.org/10.1515/phys-2020-0003.

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AbstractWe investigate theoretically the entanglement in a hybrid Fabry-Perot cavity system. A membrane in the cavity acts as a mechanical resonator, and a two-level quantum dot is coupled to both the cavity mode and the mechanical resonator. The entanglements between the cavity field and the mechanical resonator, between the mechanical resonator and the quantum dot, as well as between the cavity field and the quantum dot are observed. The logarithmic negativities in the first two subsystems are much larger than those in the system without two-way coupled quantum dot, and the entanglements are robust against the thermal temperature (entanglements still exist in tens of Kelvin). We also find that without direct coupling between the cavity field and the mechanical resonator, one can till observe effective entanglement between them in our system. Our work is helpful and may have potential applications in the research of multipartite entanglement in physical system.

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Rath, Biswanath, Pravanjan Mallick, Jihad Asad, Rania Wannan, Rabab Jarrar, and Hussein Shanak. "An Asymmetric Model Position Dependent Mass: Quantum Mechanical Study." Axioms 12, no. 4 (March 23, 2023): 318. http://dx.doi.org/10.3390/axioms12040318.

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We propose an asymmetric model position dependent mass and study its quantum mechanical behaviour on different potentials such as harmonic oscillator potential, double well potential, Gaussian single well potential and triangular single well model potential. It is observed from our study that the model asymmetric mass works well for weak coupling preserving the symmetric phase portrait. However, the dominance of asymmetric feature of the mass in the system clearly visible for higher values of the constant associated with the mass. Though, both position dependent mass and potential have significant role in controlling the spectral feature of the system, one may dominate over other for certain cases.

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Doherty, Andrew C., A. Szorkovszky, G. I. Harris, and W. P. Bowen. "The quantum trajectory approach to quantum feedback control of an oscillator revisited." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370, no. 1979 (November 28, 2012): 5338–53. http://dx.doi.org/10.1098/rsta.2011.0531.

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We revisit the stochastic master equation approach to feedback cooling of a quantum mechanical oscillator undergoing position measurement. By introducing a rotating wave approximation for the measurement and bath coupling, we can provide a more intuitive analysis of the achievable cooling in various regimes of measurement sensitivity and temperature. We also discuss explicitly the effect of backaction noise on the characteristics of the optimal feedback. The resulting rotating wave master equation has found application in our recent work on squeezing the oscillator motion using parametric driving and may have wider interest.

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De Giorgi, M., R. Rinaldi, A. Passaseo, M. Lomascolo, R. Cingolani, R. Ferreira, G. Bastard, A. Taurino, and M. Catalano. "Effects of quantum mechanical coupling on the optical properties of vertically stacked V-groove quantum wires." Journal of Applied Physics 88, no. 2 (July 15, 2000): 772–76. http://dx.doi.org/10.1063/1.373736.

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46

Anderson, Michelle C., Addison J. Schile, and David T. Limmer. "Nonadiabatic transition paths from quantum jump trajectories." Journal of Chemical Physics 157, no. 16 (October 28, 2022): 164105. http://dx.doi.org/10.1063/5.0102891.

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We present a means of studying rare reactive pathways in open quantum systems using transition path theory and ensembles of quantum jump trajectories. This approach allows for the elucidation of reactive paths for dissipative, nonadiabatic dynamics when the system is embedded in a Markovian environment. We detail the dominant pathways and rates of thermally activated processes and the relaxation pathways and photoyields following vertical excitation in a minimal model of a conical intersection. We find that the geometry of the conical intersection affects the electronic character of the transition state as defined through a generalization of a committor function for a thermal barrier crossing event. Similarly, the geometry changes the mechanism of relaxation following a vertical excitation. Relaxation in models resulting from small diabatic coupling proceeds through pathways dominated by pure dephasing, while those with large diabatic coupling proceed through pathways limited by dissipation. The perspective introduced here for the nonadiabatic dynamics of open quantum systems generalizes classical notions of reactive paths to fundamentally quantum mechanical processes.

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Choi, Jeong, and Sanghyun Ju. "Quantum Characteristics of a Nanomechanical Resonator Coupled to a Superconducting LC Resonator in Quantum Computing Systems." Nanomaterials 9, no. 1 (December 24, 2018): 20. http://dx.doi.org/10.3390/nano9010020.

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The mechanical and quantum properties of a nanomechanical resonator can be improved by connecting it to a superconducting resonator in a way that the resonator exhibits new phenomena that are possibly available to novel quantum technologies. The quantum characteristics of a nanomechanical resonator coupled to a superconducting resonator have been investigated on the basis of rigorous quantum solutions of the combined system. The solutions of the Schrödinger equation for the coupled system have been derived using the unitary transformation approach. The analytic formula of the wave functions has been obtained by applying the adiabatic condition for time evolution of the coupling parameter. The behavior of the quantum wave functions has been analyzed for several different values of parameters. The probability densities depicted in the plane of the two resonator coordinates are distorted and rotated due to the coupling between the resonators. In addition, we have shown that there are squeezing effects in the wave packet along one of the two resonator coordinates or along both the two depending on the magnitude of several parameters, such as mass, inductance, and angular frequencies.

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Wu, Gang, Alan Wong, and Suning Wang. "Solid-state 25Mg NMR, X-ray crystallographic, and quantum mechanical study of bis(pyridine)-(5,10,15,20-tetraphenyl porphyrinato)magnesium(II)." Canadian Journal of Chemistry 81, no. 4 (April 1, 2003): 275–83. http://dx.doi.org/10.1139/v03-036.

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We report solid-state 25Mg NMR, X-ray crystallographic, and quantum-mechanical calculation results for bis(pyridine)(5,10,15,20-tetraphenylporphyrinato)magnesium(II), Mg(TPP)·Py2. Mg(TPP)·Py2 crystallizes in the triclinic form, in the space group P[Formula: see text]. The unit cell parameters are: a = 9.6139(13) Å, b = 11.0096(16) Å, c = 11.8656(15) Å; α = 102.063(3)°, β = 103.785(3)°, γ = 114.043(2)°; Z = 1. The Mg(II) ion is coordinated to four nitrogen atoms from the porphyrin ring and two nitrogen atoms from the axial pyridine ligands, forming a regular octahedron. The 25Mg quadrupole coupling constant (CQ) is 15.32 ± 0.02 MHz, which represents the largest value so far observed for 25Mg nuclei. The electric field gradient tensor at the Mg site is axially symmetric, ηQ = 0.00 ± 0.05. The 25Mg chemical shielding anisotropy is too small to be accurately determined. Quantum-mechanical calculations using a 631G(d) basis set reproduce reasonably well the observed 25Mg NMR data for Mg(TPP)·Py2. The calculations also suggest that the span of the 25Mg chemical shift tensor is less than 50 ppm. Using a theoretical approach, we also investigate the dependence of the 25Mg quadrupole coupling constant on the MgNax bond distance. The calculation suggests that the 25Mg quadrupole coupling constant for an Mg(II) ion at the center of a porphyrin ring without axial ligands is approximately 22 MHz, which may be treated as an upper limit of the 25Mg quadrupole coupling constant for all Mgporphyrin complexes.Key words: 25Mg NMR, crystal structure, quantum chemical calculation, quadrupole parameter, tetraphenylporphyrin.

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Verhagen, E., S. Deléglise, S. Weis, A. Schliesser, and T. J. Kippenberg. "Quantum-coherent coupling of a mechanical oscillator to an optical cavity mode." Nature 482, no. 7383 (February 2012): 63–67. http://dx.doi.org/10.1038/nature10787.

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50

Laird, Brian B., Jane Budimir, and James L. Skinner. "Quantum‐mechanical derivation of the Bloch equations: Beyond the weak‐coupling limit." Journal of Chemical Physics 94, no. 6 (March 15, 1991): 4391–404. http://dx.doi.org/10.1063/1.460626.

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