Academic literature on the topic 'Open quantum systems, quantum-to-classical crossover'

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Journal articles on the topic "Open quantum systems, quantum-to-classical crossover"

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RUGGIERO, B., V. CORATO, E. ESPOSITO, C. GRANATA, M. RUSSO, P. SILVESTRINI, and L. STODOLSKY. "MACROSCOPIC QUANTUM COHERENCE IN JOSEPHSON SYSTEMS." International Journal of Modern Physics B 14, no. 25n27 (October 30, 2000): 3050–55. http://dx.doi.org/10.1142/s0217979200003290.

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We present our recent experiments on macroscopic tunneling in the quantum regime for underdamped Josephson junctions with different classical-quantum crossover temperatures. These experiments are performed towards the observation of macroscopic quantum coherence in Josephson systems. A new method to measure coherence in a two-level system based on the adiabatic inversion in an rf squid, is presented. This approach could open new perspectives in view of realization of an elementary quantum bit.
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Wu, W. J., K. Yan, Y. Q. Xie, Yinzhong Wu, and Xiang Hao. "Quantum speed-up dynamical crossover in open systems." International Journal of Quantum Information 15, no. 04 (June 2017): 1750027. http://dx.doi.org/10.1142/s0219749917500277.

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We put forward a measure for evaluating quantum speed limit for arbitrary mixed states of open systems by means of trace distance. Compared with some present measures, it can provide an optimal bound to the speed of the evolution. The dynamical crossover from no speedup region to speedup region happens during the spontaneous decay of an atom. The evolution is characteristic of the alternating behavior between quantum acceleration and deceleration in the strong coupling case. Under the condition of detuning, the evolution can be initially accelerated and then decelerated to a normal process either in the weak or strong coupling regime. In accordance with the uncertainty relation, we demonstrate that the potential capacity for quantum speedup evolution is closely related to the energy feedback from the reservoir to the system. The negative decay rate for the evolution results in the speedup process where the photons previously emitted by the atom are reabsorbed at a later time. The values of the spontaneous decay rate become positive after a long enough time, which results in the evolution with no speedup potential.
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da Silva, L. D., C. A. Batista, I. R. R. González, A. M. S. Macêdo, W. R. de Oliveira, and S. B. Melo. "A Discrete Exterior Calculus Approach to Quantum Transport and Quantum Chaos on Surface." Journal of Computational and Theoretical Nanoscience 16, no. 9 (September 1, 2019): 3670–82. http://dx.doi.org/10.1166/jctn.2019.8364.

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We address the problem of computing transport observables and spectral characteristics of quantum dynamics on arbitrary surfaces. Our approach is based on discrete exterior calculus (DEC) and applies to both open and closed quantum systems. We present an efficient algorithm for the calculation of the recursive Green’s functions (for open systems) and the full set of eigenfunctions and eigenvalues (for closed systems) using numerical tools available for DEC. Our approach is applied to the calculation of the conductance of a non-flat quantum device coupled to electron reservoirs and to obtain the spectra of ballistic cavities defined on curved surfaces. In both cases we found numerical evidences of a curvature induced integrable-chaotic crossover.
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Abasto, D. F., M. Mohseni, S. Lloyd, and P. Zanardi. "Exciton diffusion length in complex quantum systems: the effects of disorder and environmental fluctuations on symmetry-enhanced supertransfer." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370, no. 1972 (August 13, 2012): 3750–70. http://dx.doi.org/10.1098/rsta.2011.0213.

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Symmetric couplings among aggregates of n chromophores increase the transfer rate of excitons by a factor n 2 , a quantum-mechanical phenomenon called ‘supertransfer’. In this work, we demonstrate how supertransfer effects induced by geometrical symmetries can enhance the exciton diffusion length by a factor n along cylindrically symmetric structures, consisting of arrays of rings of chromophores, and along spiral arrays. We analyse both closed-system dynamics and open quantum dynamics, modelled by combining a random bosonic bath with static disorder. In the closed-system case, we use the symmetries of the system within a short-time approximation to obtain a closed analytical expression for the diffusion length that explicitly reveals the supertransfer contribution. When subject to disorder, we show that supertransfer can enhance excitonic diffusion lengths for small disorders and characterize the crossover from coherent to incoherent motion. Owing to the quasi-one-dimensional nature of the model, disorder ultimately localizes the excitons, diminishing but not destroying the effects of supertransfer. When dephasing effects are included, we study the scaling of diffusion with both time and number of chromophores and observe that the transition from a coherent, ballistic regime to an incoherent, random-walk regime occurs at the same point as the change from supertransfer to classical scaling.
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Paz, Daniel A., and Mohammad F. Maghrebi. "Driven-dissipative Ising model: Dynamical crossover at weak dissipation." Europhysics Letters 136, no. 1 (October 1, 2021): 10002. http://dx.doi.org/10.1209/0295-5075/ac33cb.

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Abstract Driven quantum systems coupled to an environment typically exhibit effectively thermal behavior with relaxational dynamics near criticality. However, a different qualitative behavior might be expected in the weakly dissipative limit due to the competition between coherent dynamics and weak dissipation. In this work, we investigate a driven-dissipative infinite-range Ising model in the presence of individual atomic dissipation, a model that emerges from the paradigmatic open Dicke model in the large-detuning limit. We show that the system undergoes a dynamical crossover from relaxational dynamics, with a characteristic dynamical exponent , to underdamped critical dynamics governed by the exponent in the weakly dissipative regime; a behavior that is markedly distinct from that of equilibrium. Finally, utilizing an exact diagrammatic representation, we demonstrate that the dynamical crossover to underdamped criticality is not an artifact of the mean-field nature of the model and persists even in the presence of short-range perturbations.
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Agam, Oded, Igor Aleiner, and Anatoly Larkin. "Shot Noise in Chaotic Systems: “Classical” to Quantum Crossover." Physical Review Letters 85, no. 15 (October 9, 2000): 3153–56. http://dx.doi.org/10.1103/physrevlett.85.3153.

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Warszawski, Prahlad, and Howard M. Wiseman. "Open quantum systems are harder to track than open classical systems." Quantum 3 (October 7, 2019): 192. http://dx.doi.org/10.22331/q-2019-10-07-192.

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For a Markovian (in the strongest sense) open quantum system it is possible, by continuously monitoring the environment, to perfectly track the system; that is, to know the stochastically evolving pure state of the system without altering the master equation. In general, even for a system with a finite Hilbert space dimension D, the pure state trajectory will explore an infinite number of points in Hilbert space, meaning that the dimension K of the classical memory required for the tracking is infinite. However, Karasik and Wiseman [Phys. Rev. Lett., 106(2):020406, 2011] showed that tracking of a qubit (D=2) is always possible with a bit (K=2), and gave a heuristic argument implying that a finite K should be sufficient for any D, although beyond D=2 it would be necessary to have K>D. Our paper is concerned with rigorously investigating the relationship between D and Kmin, the smallest feasible K. We confirm the long-standing conjecture of Karasik and Wiseman that, for generic systems with D>2, Kmin>D, by a computational proof (via Hilbert Nullstellensatz certificates of infeasibility). That is, beyond D=2, D-dimensional open quantum systems are provably harder to track than D-dimensional open classical systems. We stress that this result allows complete freedom in choice of monitoring scheme, including adaptive monitoring which is, in general, necessary to implement a physically realizable ensemble (as it is known) of just K pure states. Moreover, we develop, and better justify, a new heuristic to guide our expectation of Kmin as a function of D, taking into account the number L of Lindblad operators as well as symmetries in the problem. The use of invariant subspace and Wigner symmetries (that we recently introduced elsewhere, [New J. Phys. https://doi.org/10.1088/1367-2630/ab14b2]) makes it tractable to conduct a numerical search, using the method of polynomial homotopy continuation, to find finite physically realizable ensembles in D=3. The results of this search support our heuristic. We thus have confidence in the most interesting feature of our heuristic: in the absence of symmetries, Kmin∼D2, implying a quadratic gap between the classical and quantum tracking problems. Explicit adaptive monitoring schemes that realize the discovered finite ensembles are obtained numerically, thus facilitating future experimental investigations.
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Sereni, J. G. "Crossover from classical to quantum regime in Ce-lattice systems." Physica B: Condensed Matter 398, no. 2 (September 2007): 412–15. http://dx.doi.org/10.1016/j.physb.2007.04.050.

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Schomerus, Henning, and Philippe Jacquod. "Quantum-to-classical correspondence in open chaotic systems." Journal of Physics A: Mathematical and General 38, no. 49 (November 22, 2005): 10663–82. http://dx.doi.org/10.1088/0305-4470/38/49/013.

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Klimontovich, Yu L. "From Classical to Quantum Theory of Open Systems." Physica Scripta 61, no. 1 (January 1, 2000): 17–31. http://dx.doi.org/10.1238/physica.regular.061a00017.

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Dissertations / Theses on the topic "Open quantum systems, quantum-to-classical crossover"

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Bakemeier, Lutz [Verfasser]. "Quantum to classical crossover in cavity QED and optomechanical systems / Lutz Bakemeier." Greifswald : Universitätsbibliothek Greifswald, 2014. http://d-nb.info/1062630971/34.

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Moreno, Jaimes Camilo Alfonso [Verfasser], and Juan-Diego [Akademischer Betreuer] Urbina. "The semiclassical approach to open quantum systems beyond the weak coupling regime: quantum-classical transition and many-body interference / Camilo Alfonso Moreno Jaimes ; Betreuer: Juan-Diego Urbina." Regensburg : Universitätsbibliothek Regensburg, 2021. http://d-nb.info/1237105854/34.

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Kantner, Markus [Verfasser], Uwe [Akademischer Betreuer] Bandelow, Andreas [Akademischer Betreuer] Knorr, Uwe [Gutachter] Bandelow, Andreas [Gutachter] Knorr, and Bernd [Gutachter] Witzigmann. "Modeling and simulation of electrically driven quantum dot based single-photon sources : from classical device physics to open quantum systems / Markus Kantner ; Gutachter: Uwe Bandelow, Andreas Knorr, Bernd Witzigmann ; Uwe Bandelow, Andreas Knorr." Berlin : Technische Universität Berlin, 2018. http://d-nb.info/1169741959/34.

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Rossatto, Daniel Zini. "Correlações quânticas e transição quântico-clássica em cavidades ópticas." Universidade Federal de São Carlos, 2014. https://repositorio.ufscar.br/handle/ufscar/4972.

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Made available in DSpace on 2016-06-02T20:15:31Z (GMT). No. of bitstreams: 1 5792.pdf: 2150785 bytes, checksum: 967083b129be653705657afbcab00714 (MD5) Previous issue date: 2014-02-27
Universidade Federal de Sao Carlos
This thesis consists of three studies in the context of cavity quantum electrodynam- ics. Firstly, we investigate the quantum-to-classical transition of a dissipative cavity .eld by measuring the correlations between two non-interacting atoms coupled to the cavity mode. We note that there is a time window in which the mode presents a classical be- havior, which depends on the cavity decay rate, the atom-.eld coupling strength and the number of atoms. Then, considering the steady state of two atoms inside the cavity, we note that the entanglement between the atoms disappears while the intracavity mean number of photons (ñ) increases. However, the mutual information, the classical corre- lations and the quantum discord reach asymptotic non-zero values even in the limit of (continue...)
Esta tese é constituída por três estudos no contexto de Eletrodinâmica Quântica de Cavidades. Primeiramente, investigamos a transição quântico-clássica de um campo de uma cavidade dissipativa através da geração de correlação entre dois átomos de dois níveis não interagentes acoplados a um modo da cavidade. Em primeiro lugar, mostramos que há uma janela de tempo na qual o modo da cavidade exibe um comportamento clássico, que depende da taxa de decaimento da cavidade, do acoplamento átomo-campo e do número de átomos. Em seguida, considerando o regime estacionário, vemos que o emaranhamento entre os átomos desaparece à medida que o número médio de fótons intracavidade (ñ) é aumentado. Entretanto, a informação mútua, as correlações clássicas e a discórdia quântica atingem valores assintóticos não nulos mesmo no limite (continua...)
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Books on the topic "Open quantum systems, quantum-to-classical crossover"

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James, Camilo Alfonso Moreno. Semiclassical Approach to Open Quantum Systems Beyond the Weak Coupling Regime: Quantum-Classical Transition and Many-body Interference. Universitatsverlag Regensburg GmbH, 2021.

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Beenakker, Carlo W. J. Classical and quantum optics. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.36.

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This article focuses on applications of random matrix theory (RMT) to both classical optics and quantum optics, with emphasis on optical systems such as disordered wave guides and chaotic resonators. The discussion centres on topics that do not have an immediate analogue in electronics, either because they cannot readily be measured in the solid state or because they involve aspects (such as absorption, amplification, or bosonic statistics) that do not apply to electrons. The article first considers applications of RMT to classical optics, including optical speckle and coherent backscattering, reflection from an absorbing random medium, long-range wave function correlations in an open resonator, and direct detection of open transmission channels. It then discusses applications to quantum optics, namely: the statistics of grey-body radiation, lasing in a chaotic cavity, and the effect of absorption on the reflection eigenvalue statistics in a multimode wave guide.
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Strasberg, Philipp. Quantum Stochastic Thermodynamics. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192895585.001.0001.

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Abstract Processes at the nanoscale happen far away from the thermodynamic limit, far from equilibrium and are dominated by fluctuations and, perhaps, even quantum effects. This book establishes a consistent thermodynamic framework for such processes by combining tools from non-equilibrium statistical mechanics and the theory of open quantum systems. The book is accessible for graduate students and of interest to all researchers striving for a deeper understanding of the laws of thermodynamics beyond their traditional realm of applicability. It puts most emphasis on the microscopic derivation and understanding of key principles and concepts as well as their interrelation. The topics covered in this book include (quantum) stochastic processes, (quantum) master equations, local detailed balance, classical stochastic thermodynamics, (quantum) fluctuation theorems, strong coupling and non non-Markovian effects, thermodynamic uncertainty relations, operational approaches, Maxwell's demon and time-reversal symmetry, among other topics. Furthermore, the book treats a few applications in detail to illustrate the general theory and its potential for practical applications. These are single-molecule pulling experiments, quantum transport and thermoelectric effects in quantum dots, the micromaser and related set-ups in quantum optics.
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Book chapters on the topic "Open quantum systems, quantum-to-classical crossover"

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Belton, Alexander C. R. "Introduction to Classical and Quantum Markov Semigroups." In Open Quantum Systems, 1–54. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13046-6_1.

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Klimontovich, Yu L. "Bridge from Classical Statistical Theory of Open Systems to Quantum Theory." In Statistical Theory of Open Systems, 525–54. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0175-2_23.

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Strasberg, Philipp. "Quantum Stochastic Processes." In Quantum Stochastic Thermodynamics, 1–42. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192895585.003.0001.

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Abstract This chapter describes the basic features of open quantum systems, i.e. quantum systems that are affected by noise due to uncontrollable degrees of freedom of an environment or bath. This noise is responsible for effects such as dissipation,decoherence and irreversibility. We study the equilibrium states of open quantum systems and review tools from quantum measurement theory, which describe how to theory, that describe how to extract information from an (open) quantum system. We generalize these tools to multimulti-time statistics and define the notion of a quantum stochastic process and a quan tum Markov process. Finally, we study in which cases a quantum stochastic process looks classical.
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Das, Sunanda, Sourav De, and Siddhartha Bhattacharyya. "True Color Image Segmentation Using Quantum-Induced Modified-Genetic-Algorithm-Based FCM Algorithm." In Quantum-Inspired Intelligent Systems for Multimedia Data Analysis, 55–94. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-5219-2.ch003.

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In this chapter, a quantum-induced modified-genetic-algorithm-based FCM clustering approach is proposed for true color image segmentation. This approach brings down the early convergence problem of FCM to local minima point, increases efficacy of conventional genetic algorithm, and decreases the computational cost and execution time. Effectiveness of genetic algorithm is tumid by modifying some features in population initialization and crossover section. To speed up the execution time as well as make it cost effective and also to get more optimized class levels some quantum computing phenomena like qubit, superposition, entanglement, quantum rotation gate are induced to modified genetic algorithm. Class levels which are yield now fed to FCM as initial input class levels; thus, the ultimate segmented results are formed. Efficiency of proposed method are compared with classical modified-genetic-algorithm-based FCM and conventional FCM based on some standard statistical measures.
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Hota, Lopamudra, and Prasant Kumar Dash. "A Taxonomy of Quantum Computing Algorithms." In Advances in Systems Analysis, Software Engineering, and High Performance Computing, 36–56. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-9183-3.ch004.

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Quantum computing exploits quantum-mechanical principles such as entanglement and superposition to offer significant computational advantages over conventional classical computing. Many complex and computationally challenging problems are expected to be solved by quantum computing in a number of fields, such as data science, industrial chemistry, smart energy, finance, secure communications, and many others. In order to understand the current status of quantum computing and identify its challenges, a systematic review of the existing literature will be valuable. An overview of quantum computing literature and its taxonomy is presented in this chapter. Further, the proposed taxonomy aims to identify research gaps by mapping various related studies. There is a detailed analysis of quantum technologies with the most current state of the art. Finally, the chapter presents a highlight of open challenges and future research directions.
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Hamoudi, W. K., and Nadia M. G. Al-Saidi. "Information Security-Based Nano- and Bio-Cryptography." In Biomedical Engineering, 1316–37. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-3158-6.ch056.

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Information security can provide confidentiality, integrity, and availability for society to benefit efficiently from data storage and open networks. Free space communication networks suffer from adversaries who interfere with data on networked computers. Inventing new protection techniques has arisen to ensure integrity and authenticity of digital information. This chapter introduces Nano and Bio techniques in cryptography to enhance the information security systems. Tasks unfeasible on a classical computer can now be performed by quantum computers, yielding a big impact on online security. Threats of exponentially fast quantum algorithms on business transactions could be overcome by this new technology. Based on biological observations, the exploration of biometric cryptography and authentication to determine individuals' authenticity can be done through numeric measurements. This provides very reliable automated verification and strong protection against biometric system attacks.
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Raff, Lionel, Ranga Komanduri, Martin Hagan, and Satish Bukkapatnam. "Summary, Conclusions, and Future Trends." In Neural Networks in Chemical Reaction Dynamics. Oxford University Press, 2012. http://dx.doi.org/10.1093/oso/9780199765652.003.0015.

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Since the introduction of classical and semiclassical molecular dynamics (MD) methods in the 1960s and Gaussian procedures to conduct electronic structure calculations in the 1970s, a principal objective of theoretical chemistry has been to combine the two methods so that MD and quantum mechanical studies can be conducted on ab initio potential surfaces. Although numerous procedures have been attempted, the goal of first principles, ab initio dynamics calculations has proven to be elusive when the system contains five or more atoms moving in unrestricted three-dimensional space. For many years, the conventional wisdom has been that ab initio MD calculations for complex systems containing five or more atoms with several open reaction channels are presently beyond our computational capabilities. The rationale for this view are (a) the inherent difficulty of high level ab initio quantum calculations on complex systems that may take numerous, large-scale computations impossible, (b) the large dimensionality of the configuration space for such systems that makes it necessary to examine prohibitively large numbers of nuclear configurations, and (c) the extreme difficulty associated with obtaining sufficiently converged results to permit accurate interpolation of numerical data obtained from electronic structure calculations when the dimensionality of the system is nine or greater. Neural networks (NN) derive their name from the fact that their interlocking structure superficially resembles the neural network of a human brain and from the fact that NNs can sense the underlying correlations that exist in a database and properly map them in a manner analogous to the way a human brain can execute pattern recognition. Artificial neurons were first proposed in 1943 by Warren McCulloch, a neurophysiologist, and Walter Pitts, an MIT logician. NNs have been employed by engineers for decades to assist in the solution of a multitude of problems. Nevertheless, the power of NNs to assist in the solution of numerous problems that occur in chemical reaction dynamics is just now being realized by the chemistry community.
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