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Journal articles on the topic 'Floquet formalism'

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Author: Grafiati

Published: 19 October 2024

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1

KIM, SANG WOOK. "FLOQUET FORMALISM OF QUANTUM PUMPS." International Journal of Modern Physics B 18, no. 23n24 (October 10, 2004): 3071–93. http://dx.doi.org/10.1142/s0217979204026317.

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We review Floquet formalism of quantum electron pumps. In the Floquet formalism the quantum pump is regarded as a time dependent scattering system, which allows us to go beyond the adiabatic limit. It can be shown that the well-known adiabatic formula given by Brouwer can be derived from the adiabatic limit of Floquet formalism. We compare various physical properties of the quantum pump both in the adiabatic and in the non-adiabatic regime using the Floquet theory.

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2

Ivanov, Konstantin L., Kaustubh R. Mote, Matthias Ernst, Asif Equbal, and Perunthiruthy K. Madhu. "Floquet theory in magnetic resonance: Formalism and applications." Progress in Nuclear Magnetic Resonance Spectroscopy 126-127 (October 2021): 17–58. http://dx.doi.org/10.1016/j.pnmrs.2021.05.002.

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3

Martinez, D. F. "Floquet–Green function formalism for harmonically driven Hamiltonians." Journal of Physics A: Mathematical and General 36, no. 38 (September 9, 2003): 9827–42. http://dx.doi.org/10.1088/0305-4470/36/38/302.

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4

Lungu, Radu Paul, and Andrei Manolescu. "Many-Body Fermion Systems in the Floquet Formalism." Physica Scripta 62, no. 6 (December 1, 2000): 433–45. http://dx.doi.org/10.1238/physica.regular.062a00433.

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5

FILIP, By CLAUDIU, XENIA FILIP, and DAN E. DEMCO and SIEGFRIED HAFNER. "Spin dynamics under magic angle spinning by Floquet formalism." Molecular Physics 92, no. 4 (November 1997): 757–72. http://dx.doi.org/10.1080/002689797170031.

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6

Jooya, H. Z., and H. R. Sadeghpour. "Floquet formalism for multiphoton dynamics in superconducting quantum circuits." Journal of Physics: Conference Series 1412 (January 2020): 092005. http://dx.doi.org/10.1088/1742-6596/1412/9/092005.

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7

Boender, G. J., A. A. de Koeijer, and E. A. J. Fischer. "Derivation of a Floquet Formalism within a Natural Framework." Acta Biotheoretica 60, no. 3 (June 29, 2012): 303–17. http://dx.doi.org/10.1007/s10441-012-9162-4.

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8

Bauer, Andreas. "Topological error correcting processes from fixed-point path integrals." Quantum 8 (March 20, 2024): 1288. http://dx.doi.org/10.22331/q-2024-03-20-1288.

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We propose a unifying paradigm for analyzing and constructing topological quantum error correcting codes as dynamical circuits of geometrically local channels and measurements. To this end, we relate such circuits to discrete fixed-point path integrals in Euclidean spacetime, which describe the underlying topological order: If we fix a history of measurement outcomes, we obtain a fixed-point path integral carrying a pattern of topological defects. As an example, we show that the stabilizer toric code, subsystem toric code, and CSS Floquet code can be viewed as one and the same code on different spacetime lattices, and the honeycomb Floquet code is equivalent to the CSS Floquet code under a change of basis. We also use our formalism to derive two new error-correcting codes, namely a Floquet version of the 3+1-dimensional toric code using only 2-body measurements, as well as a dynamic code based on the double-semion string-net path integral.

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9

Rodriguez-Vega, M., M. Lentz, and B. Seradjeh. "Floquet perturbation theory: formalism and application to low-frequency limit." New Journal of Physics 20, no. 9 (September 24, 2018): 093022. http://dx.doi.org/10.1088/1367-2630/aade37.

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LUNGU, RADU PAUL, and ANDREI MANOLESCU. "TWO-DIMENSIONAL ELECTRON SYSTEM IN ELECTROMAGNETIC RADIATION FIELD." International Journal of Modern Physics B 15, no. 32 (December 30, 2001): 4245–59. http://dx.doi.org/10.1142/s0217979201008007.

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We consider a two-dimensional electron gas in the presence of a monochromatic linear polarized electromagnetic field, within the Floquet formalism. The Floquet states have a simple relation with the energy eigenstates in the absence of the field. Therefore the single-particle and the two-particle Green functions of the many-body system with Coulomb interactions, in the radiation field, can be formally calculated by the standard diagrammatic techniques, as for the conservative system. We derive the elementary excitations of quasi-particle type, the plasma dispersion relation, and the ground state quasi-energy, and we relate them to the corresponding results for the conservative system.

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11

Turkin, Ya V., N. G. Pugach, E. G. Ekomasov, and B. G. L’vov. "The Dynamic Proximity Effect in Superconductor –Ferromagnetic Insulator Hybrid Structures." Физика металлов и металловедение 124, no. 1 (January 1, 2023): 42–48. http://dx.doi.org/10.31857/s0015323022601428.

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This paper presents a theoretical study of the dynamics of the induced magnetization and spin cur-rent arising in a layer of an impure superconductor due to the proximity to a ferromagnetic dielectric with a uniform periodically precessing magnetization. The dynamics of the observed physical quantities is described within the semi-classical Usadel–Floquet formalism, which makes it possible to study the effect of a periodic perturbation on an inhomogeneous superconducting system. The spatial distributions and temporal evolu-tion of the induced magnetization and the superconducting spin current inside the superconductor layer are found from the numerical solutions of the system of Usadel–Floquet equations.

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12

Abramovich, D., and S. Vega. "Derivation of Broadband and Narrowband Excitation Pulses Using the Floquet Formalism." Journal of Magnetic Resonance, Series A 105, no. 1 (October 1993): 30–48. http://dx.doi.org/10.1006/jmra.1993.1245.

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13

Jolicard, Georges, John P. Killingbeck, Philippe Durand, and Jean Louis Heully. "A wave operator description of molecular photodissociation processes using the Floquet formalism." Journal of Chemical Physics 100, no. 1 (January 1994): 325–33. http://dx.doi.org/10.1063/1.467001.

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14

Chakraborty, A., and S. R. Mishra. "A Floquet formalism for the interaction of magnetically trapped atoms with rf fields." Journal of Physics B: Atomic, Molecular and Optical Physics 51, no. 2 (December 21, 2017): 025002. http://dx.doi.org/10.1088/1361-6455/aa99b0.

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15

Huy, K. P., A. Morand, and P. Benech. "Modelization of the whispering gallery mode in microgear resonators using the Floquet-Bloch formalism." IEEE Journal of Quantum Electronics 41, no. 3 (March 2005): 357–65. http://dx.doi.org/10.1109/jqe.2004.841498.

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16

Marié, L. "A study of the phase instability of quasi-geostrophic Rossby waves on the infinite β-plane to zonal flow perturbations." Nonlinear Processes in Geophysics 17, no. 1 (February 2, 2010): 49–63. http://dx.doi.org/10.5194/npg-17-49-2010.

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Abstract. The problem of the linear instability of quasi-geostrophic Rossby waves to zonal flow perturbations is investigated on an infinite β-plane using a phase dynamics formalism. Equations governing the coupled evolutions of a zonal velocity perturbation and phase and amplitude perturbations of a finite-amplitude wave are obtained. The analysis is valid in the limit of infinitesimal, zonally invariant perturbation components, varying slowly in the meridional direction and with respect to time. In the case of a slow sinusoidal meridional variation of the perturbation components, analytical expressions for the perturbation growth rates are obtained, which are checked against numerical codes based on standard Floquet theory.

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17

Jolicard, Georges, and Gert Due Billing. "The extension of wave operator‐Floquet formalism to molecular photodissociation processes with short laser pulses." Journal of Chemical Physics 101, no. 11 (December 1994): 9429–35. http://dx.doi.org/10.1063/1.467974.

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18

Morimoto, Takahiro, and Naoto Nagaosa. "Topological nature of nonlinear optical effects in solids." Science Advances 2, no. 5 (May 2016): e1501524. http://dx.doi.org/10.1126/sciadv.1501524.

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There are a variety of nonlinear optical effects including higher harmonic generations, photovoltaic effects, and nonlinear Kerr rotations. They are realized by strong light irradiation to materials that results in nonlinear polarizations in the electric field. These are of great importance in studying the physics of excited states of the system as well as for applications to optical devices and solar cells. Nonlinear properties of materials are usually described by nonlinear susceptibilities, which have complex expressions including many matrix elements and energy denominators. On the other hand, a nonequilibrium steady state under an electric field periodic in time has a concise description in terms of the Floquet bands of electrons dressed by photons. We show theoretically, using the Floquet formalism, that various nonlinear optical effects, such as the shift current in noncentrosymmetric materials, photovoltaic Hall response, and photo-induced change of order parameters under the continuous irradiation of monochromatic light, can be described in a unified fashion by topological quantities involving the Berry connection and Berry curvature. We found that vector fields defined with the Berry connections in the space of momentum and/or parameters govern the nonlinear responses. This topological view offers a route to designing nonlinear optical materials.

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19

Thuraisingham, R. A., and William J. Meath. "Phase and rotational averaged transition probabilities for molecules in a sinusoidal field using the Floquet formalism." Molecular Physics 56, no. 1 (September 1985): 193–207. http://dx.doi.org/10.1080/00268978500102261.

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20

Brandner, Kay. "Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Amplitudes to Quantum Thermodynamics." Zeitschrift für Naturforschung A 75, no. 5 (May 26, 2020): 483–500. http://dx.doi.org/10.1515/zna-2020-0056.

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AbstractScattering theory is a standard tool for the description of transport phenomena in mesoscopic systems. Here, we provide a detailed derivation of this method for nano-scale conductors that are driven by oscillating electric or magnetic fields. Our approach is based on an extension of the conventional Lippmann–Schwinger formalism to systems with a periodically time-dependent Hamiltonian. As a key result, we obtain a systematic perturbation scheme for the Floquet scattering amplitudes that describes the transition of a transport carrier through a periodically driven sample. Within a general multi-terminal setup, we derive microscopic expressions for the mean values and time-integrated correlation functions, or zero-frequency noise, of matter and energy currents, thus recovering the results of earlier studies in a unifying framework. We show that this framework is inherently consistent with the first and the second law of thermodynamics and prove that the mean rate of entropy production vanishes only if all currents in the system are zero. As an application, we derive a generalized Green–Kubo relation, which makes it possible to express the response of any mean currents to small variations of temperature and chemical potential gradients in terms of time integrated correlation functions between properly chosen currents. Finally, we discuss potential topics for future studies and further reaching applications of the Floquet scattering approach to quantum transport in stochastic and quantum thermodynamics.

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21

Lubatsch, Andreas, and Regine Frank. "Quantum Many-Body Theory for Exciton-Polaritons in Semiconductor Mie Resonators in the Non-Equilibrium." Applied Sciences 10, no. 5 (March 6, 2020): 1836. http://dx.doi.org/10.3390/app10051836.

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We implement externally excited ZnO Mie resonators in a framework of a generalized Hubbard Hamiltonian to investigate the lifetimes of excitons and exciton-polaritons out of thermodynamical equilibrium. Our results are derived by a Floquet-Keldysh-Green’s formalism with Dynamical Mean Field Theory (DMFT) and a second order iterative perturbation theory solver (IPT). We find that the Fano resonance which originates from coupling of the continuum of electronic density of states to the semiconductor Mie resonator yields polaritons with lifetimes between 0.6 ps and 1.45 ps. These results are compared to ZnO polariton lasers and to ZnO random lasers. We interpret the peaks of the exciton-polariton lifetimes in our results as a sign of gain narrowing which may lead to stable polariton lasing modes in the single excited ZnO Mie resonator. This form of gain may lead to polariton random lasing in an ensemble of ZnO Mie resonators in the non-equilibrium.

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22

Peri, L., G. A. Oakes, L. Cochrane, C. J. B. Ford, and M. F. Gonzalez-Zalba. "Beyond-adiabatic Quantum Admittance of a Semiconductor Quantum Dot at High Frequencies: Rethinking Reflectometry as Polaron Dynamics." Quantum 8 (March 21, 2024): 1294. http://dx.doi.org/10.22331/q-2024-03-21-1294.

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Semiconductor quantum dots operated dynamically are the basis of many quantum technologies such as quantum sensors and computers. Hence, modelling their electrical properties at microwave frequencies becomes essential to simulate their performance in larger electronic circuits. Here, we develop a self-consistent quantum master equation formalism to obtain the admittance of a quantum dot tunnel-coupled to a charge reservoir under the effect of a coherent photon bath. We find a general expression for the admittance that captures the well-known semiclassical (thermal) limit, along with the transition to lifetime and power broadening regimes due to the increased coupling to the reservoir and amplitude of the photonic drive, respectively. Furthermore, we describe two new photon-mediated regimes: Floquet broadening, determined by the dressing of the QD states, and broadening determined by photon loss in the system. Our results provide a method to simulate the high-frequency behaviour of QDs in a wide range of limits, describe past experiments, and propose novel explorations of QD-photon interactions.

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23

Nurligareev, D. Kh, and V. A. Sychugov. "Technique for determining the cell parameters of the confined one-dimensional photonic crystal, based on the Floquet-Bloch formalism." Bulletin of the Lebedev Physics Institute 39, no. 2 (February 2012): 33–37. http://dx.doi.org/10.3103/s1068335612020017.

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24

Nguyen-Dang, T. T., F. Châteauneuf, O. Atabek, and X. He. "Time-resolved dynamics of two-channel molecular systems in cw laser fields: Wave-packet construction in the Floquet formalism." Physical Review A 51, no. 2 (February 1, 1995): 1387–402. http://dx.doi.org/10.1103/physreva.51.1387.

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25

HO, CHOON-LIN, and CHUNG-CHIEH LEE. "STABILIZING QUANTUM METASTABLE STATES IN A TIME-PERIODIC POTENTIAL." International Journal of Modern Physics B 21, no. 23n24 (September 30, 2007): 4256–64. http://dx.doi.org/10.1142/s0217979207045499.

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In this talk we present a model to demonstrate how time-periodic potential can be used to manipulate quantum metastability of a system. We study metastability of a particle trapped in a well with a time-periodically oscillating barrier in the Floquet formalism. It is shown that the oscillating barrier causes the system to decay faster in general. However, avoided crossings of metastable states can occur with the less stable states crossing over to the more stable ones. If in the static well there exists a bound state, then it is possible to stabilize a metastable state by adiabatically increasing the oscillating frequency of the barrier so that the unstable state eventually cross-over to the stable bound state. It is also found that increasing the amplitude of the oscillating field may change a direct crossing of states into an avoided one. Hence, one can manipulate the stability of different states in a quantum potential by a combination of adiabatic changes of the frequency and the amplitude of the oscillating barrier.

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26

Jeschke, Gunnar. "Spin locking of I=3/2 nuclei in static and spinning samples: A description by abstract spins and Floquet formalism." Journal of Chemical Physics 108, no. 3 (January 15, 1998): 907–17. http://dx.doi.org/10.1063/1.475454.

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27

Ding, Shangwu, and Charles A. McDowell. "The equivalence between Floquet formalism and the multi-step approach in computing the evolution operator of a periodical time-dependent Hamiltonian." Chemical Physics Letters 288, no. 2-4 (May 1998): 230–34. http://dx.doi.org/10.1016/s0009-2614(98)00307-8.

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28

Kotilahti, Janne, Pablo Burset, Michael Moskalets, and Christian Flindt. "Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer." Entropy 23, no. 6 (June 10, 2021): 736. http://dx.doi.org/10.3390/e23060736.

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The development of dynamic single-electron sources has made it possible to observe and manipulate the quantum properties of individual charge carriers in mesoscopic circuits. Here, we investigate multi-particle effects in an electronic Mach–Zehnder interferometer driven by a series of voltage pulses. To this end, we employ a Floquet scattering formalism to evaluate the interference current and the visibility in the outputs of the interferometer. An injected multi-particle state can be described by its first-order correlation function, which we decompose into a sum of elementary correlation functions that each represent a single particle. Each particle in the pulse contributes independently to the interference current, while the visibility (given by the maximal interference current) exhibits a Fraunhofer-like diffraction pattern caused by the multi-particle interference between different particles in the pulse. For a sequence of multi-particle pulses, the visibility resembles the diffraction pattern from a grid, with the role of the grid and the spacing between the slits being played by the pulses and the time delay between them. Our findings may be observed in future experiments by injecting multi-particle pulses into a Mach–Zehnder interferometer.

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29

Farshi, Tom, Daniele Toniolo, Carlos E. González-Guillén, Álvaro M. Alhambra, and Lluis Masanes. "Mixing and localization in random time-periodic quantum circuits of Clifford unitaries." Journal of Mathematical Physics 63, no. 3 (March 1, 2022): 032201. http://dx.doi.org/10.1063/5.0054863.

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How much do local and time-periodic dynamics resemble a random unitary? In the present work, we address this question by using the Clifford formalism from quantum computation. We analyze a Floquet model with disorder, characterized by a family of local, time-periodic, and random quantum circuits in one spatial dimension. We observe that the evolution operator enjoys an extra symmetry at times that are a half-integer multiple of the period. With this, we prove that after the scrambling time, namely, when any initial perturbation has propagated throughout the system, the evolution operator cannot be distinguished from a (Haar) random unitary when all qubits are measured with Pauli operators. This indistinguishability decreases as time goes on, which is in high contrast to the more studied case of (time-dependent) random circuits. We also prove that the evolution of Pauli operators displays a form of mixing. These results require the dimension of the local subsystem to be large. In the opposite regime, our system displays a novel form of localization, produced by the appearance of effective one-sided walls, which prevent perturbations from crossing the wall in one direction but not the other.

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30

López, Alexander, Solmar Varela, and Ernesto Medina. "Radiation modulated spin coupling in a double-stranded DNA model." Journal of Physics: Condensed Matter 34, no. 13 (January 21, 2022): 135301. http://dx.doi.org/10.1088/1361-648x/ac48c1.

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Abstract The spin activity in macromolecules such as DNA and oligopeptides, in the context of the chiral induced spin selectivity has been proposed to be due to the atomic spin–orbit coupling (SOC) and the associated chiral symmetry of the structures. This coupling, associated with carbon, nitrogen and oxygen atoms in biological molecules, albeit small (meV), can be enhanced by the geometry, and strong local polarization effects such as hydrogen bonding. A novel way to manipulate the spin degree of freedom is by modifying the spectrum using a coupling to the appropriate electromagnetic radiation field. Here we use the Floquet formalism in order to show how the half filled band Hamiltonian for DNA, can be modulated by the radiation to produce up to a tenfold increase of the effective SOC once the intrinsic coupling is present. On the other hand, the chiral model, once incorporating the orbital angular momentum of electron motion on the helix, opens a gap for different helicity states (helicity splitting) that chooses spin polarization according to transport direction and chirality, without breaking time reversal symmetry. The observed effects are feasible in physically reasonable parameter ranges for the radiation field amplitude and frequency.

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31

Martinez, D. F. "High-order harmonic generation and dynamic localization in a driven two-level system, a non-perturbative solution using the Floquet–Green formalism." Journal of Physics A: Mathematical and General 38, no. 46 (November 2, 2005): 9979–10005. http://dx.doi.org/10.1088/0305-4470/38/46/006.

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32

Li, Qiangqiang, Yongqiang Guo, and Yajun Wang. "Analysis of Floquet Waves in Periodic Multilayered Isotropic Media with the Method of Reverberation-Ray Matrix." Crystals 12, no. 7 (June 24, 2022): 904. http://dx.doi.org/10.3390/cryst12070904.

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The in-plane elastic waves in periodically multilayered isotropic structures, which are decoupled from the out-of-plane waves, are represented mainly by the frequency–wavenumber spectra and occasionally by the frequency–phase velocity spectra as well as being studied predominantly for periodic bi-layered media along and perpendicular to the thickness direction in the existing research. This paper investigates their comprehensive dispersion characteristics along arbitrary in-plane directions and in entire (low and high) frequency ranges, including the frequency–wavelength, wavenumber–phase velocity, wavelength–phase velocity spectra, the dispersion surfaces and the slowness curves with fixed frequencies, as well as the frequency–wavenumber and frequency–phase velocity spectra. Specially, the dispersion surfaces and the slowness curves completely reflect the propagation characteristics of in-plane waves along all directions. First, the method of reverberation-ray matrix (MRRM) combined with the Floquet theorem is extended to derive the dispersion equation of in-plane elastic waves in general periodic multilayered isotropic structures by means of the elastodynamic theory of isotropic materials and the state space formalism of layers. The correctness of the derivation and the numerical stability of the method in both low and high frequency ranges, particularly its superiority over the method of the transfer matrix (MTM) within the ranges near the cutoff frequencies, are verified by several numerical examples. From these demonstrations for periodic octal- and bi-layered media, the comprehensive dispersion curves are provided and their general characteristics are summarized. It is found that although the frequencies associated with the dimensionless wavenumber along thickness ql=nπ (n is an integer) are always the demarcation between pass and stop bands in the case of perpendicular incident wave, but this is not always exist in the case of the oblique incident wave due to the coupling between the two modes of in-plane elastic waves. The slowness curves with fixed frequencies of Floquet waves in periodically multilayered isotropic structures, as compared to their counterpart of body waves in infinite isotropic media obtained from the Christoffel equation now have periodicity along the thickness direction, which is consistent to the configuration of the structures. The slowness curves associated with higher frequencies have a smaller minimum positive period and have more propagation modes due to the cutoff properties of these additional modes.

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33

Koley, Arpita, Santanu K. Maiti, Laura M. Pérez, Judith Helena Ojeda Silva, and David Laroze. "Possible Routes to Obtain Enhanced Magnetoresistance in a Driven Quantum Heterostructure with a Quasi-Periodic Spacer." Micromachines 12, no. 9 (August 27, 2021): 1021. http://dx.doi.org/10.3390/mi12091021.

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In this work, we perform a numerical study of magnetoresistance in a one-dimensional quantum heterostructure, where the change in electrical resistance is measured between parallel and antiparallel configurations of magnetic layers. This layered structure also incorporates a non-magnetic spacer, subjected to quasi-periodic potentials, which is centrally clamped between two ferromagnetic layers. The efficiency of the magnetoresistance is further tuned by injecting unpolarized light on top of the two sided magnetic layers. Modulating the characteristic properties of different layers, the value of magnetoresistance can be enhanced significantly. The site energies of the spacer is modified through the well-known Aubry–André and Harper (AAH) potential, and the hopping parameter of magnetic layers is renormalized due to light irradiation. We describe the Hamiltonian of the layered structure within a tight-binding (TB) framework and investigate the transport properties through this nanojunction following Green’s function formalism. The Floquet–Bloch (FB) anstaz within the minimal coupling scheme is introduced to incorporate the effect of light irradiation in TB Hamiltonian. Several interesting features of magnetotransport properties are represented considering the interplay between cosine modulated site energies of the central region and the hopping integral of the magnetic regions that are subjected to light irradiation. Finally, the effect of temperature on magnetoresistance is also investigated to make the model more realistic and suitable for device designing. Our analysis is purely a numerical one, and it leads to some fundamental prescriptions of obtaining enhanced magnetoresistance in multilayered systems.

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34

Chatrchyan, Aleksandr, Cem Eröncel, Matthias Koschnitzke, and Géraldine Servant. "ALP dark matter with non-periodic potentials: parametric resonance, halo formation and gravitational signatures." Journal of Cosmology and Astroparticle Physics 2023, no. 10 (October 1, 2023): 068. http://dx.doi.org/10.1088/1475-7516/2023/10/068.

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Abstract Axion-like particles (ALPs) are leading candidates to explain the dark matter in the universe. Their production via the misalignment mechanism has been extensively studied for cosine potentials characteristic of pseudo-Nambu-Goldstone bosons. In this work we investigate ALPs with non-periodic potentials, which allow for large misalignment of the field from the minimum. As a result, the ALP can match the relic density of dark matter in a large part of the parameter space. Such potentials give rise to self-interactions which can trigger an exponential growth of fluctuations in the ALP field via parametric resonance, leading to the fragmentation of the field. We study these effects with both Floquet analysis and lattice simulations. Using the Press-Schechter formalism, we predict the halo mass function and halo spectrum arising from ALP dark matter. These halos can be dense enough to produce observable gravitational effects such as astrometric lensing, diffraction of gravitational wave signals from black hole mergers, photometric microlensing of highly magnified stars, perturbations of stars in the galactic disk or stellar streams. These effects would provide a probe of dark matter even if it does not couple to the Standard Model. They would not be observable for halos predicted for standard cold dark matter and for ALP dark matter in the standard misalignment mechanism. We determine the relevant regions of parameter space in the (ALP mass, decay constant)-plane and compare predictions in different axion fragmentation models.

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35

Huang, Youhong, and Shih-I. Chu. "A stationary treatment of time-dependent Hamiltonian by the many-mode floquet formalism and its application to the study of effects of laser pulses in multiphoton processes." Chemical Physics Letters 225, no. 1-3 (July 1994): 46–54. http://dx.doi.org/10.1016/0009-2614(94)00607-5.

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36

Chu, Shih-I., and Dmitry A. Telnov. "Beyond the Floquet theorem: generalized Floquet formalisms and quasienergy methods for atomic and molecular multiphoton processes in intense laser fields." Physics Reports 390, no. 1-2 (February 2004): 1–131. http://dx.doi.org/10.1016/j.physrep.2003.10.001.

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37

Mosallanejad, Vahid, Yu Wang, and Wenjie Dou. "Floquet non-equilibrium Green’s function and Floquet quantum master equation for electronic transport: The role of electron–electron interactions and spin current with circular light." Journal of Chemical Physics 160, no. 16 (April 23, 2024). http://dx.doi.org/10.1063/5.0184978.

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The non-equilibrium Green’s function (NEGF) and quantum master equation (QME) are two main classes of approaches for electronic transport. We discuss various Floquet variances of these formalisms for transport properties of a quantum dot driven via interaction with an external periodic field. We first derived two versions of the Floquet NEGF. We also explore an ansatz of the Floquet NEGF formalism for the interacting systems. In addition, we derived two versions of Floquet QME in the weak interaction regime. With each method, we elaborate on the evaluation of the expectation values of the number and current operators. We examined these methods for transport through a two-level system that is subject to periodic driving. The numerical results of all four methods show good agreement for non-interacting systems in the weak regime. Furthermore, we have observed that circular light can introduce spin current. We expect these Floquet quantum transport methods to be useful in studying molecular junctions exposed to light.

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38

Popova-Gorelova, Daria, and Robin Santra. "Microscopic nonlinear optical response: Analysis and calculations with the Floquet–Bloch formalism." Structural Dynamics 11, no. 1 (January 1, 2024). http://dx.doi.org/10.1063/4.0000220.

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We analyze microscopic nonlinear optical response of periodic structures within the Floquet–Bloch formalism. The analysis is focused on the real-space distributions of optically induced charge and electron current density within the unit cell of a crystal. We demonstrate that the time-reversal symmetry of a crystal determines the phases of the temporal oscillations of these distributions. We further analyze their spatial symmetries and connection to macroscopic optical response. We illustrate our study with ab initio calculations that combine density functional theory with the Floquet–Bloch formalism. The calculations provide time-dependent optically induced charge distributions and electron current densities within the unit cells of a crystal with inversion symmetry MgO and a crystal without inversion symmetry GaAs in response to a strong-field excitation. The real-space, microscopic view on nonlinear optical response provides insightful information about the strong field–matter interaction.

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39

Mori, Takashi. "Floquet States in Open Quantum Systems." Annual Review of Condensed Matter Physics 14, no. 1 (October 6, 2022). http://dx.doi.org/10.1146/annurev-conmatphys-040721-015537.

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In Floquet engineering, periodic driving is used to realize novel phases of matter that are inaccessible in thermal equilibrium. For this purpose, the Floquet theory provides us a recipe for obtaining a static effective Hamiltonian. Although many existing works have treated closed systems, it is important to consider the effect of dissipation, which is ubiquitous in nature. Understanding the interplay of periodic driving and dissipation is a fundamental problem of nonequilibrium statistical physics that is receiving growing interest because of the fact that experimental advances have allowed us to engineer dissipation in a controllable manner. In this review, we give a detailed exposition on the formalism of quantum master equations for open Floquet systems and highlight recent work investigating whether equilibrium statistical mechanics applies to Floquet states. Expected final online publication date for the Annual Review of Condensed Matter Physics, Volume 14 is March 2023. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

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40

McCulloch, Ewan Robert, and Curt von Keyserlingk. "Operator spreading in the memory matrix formalism." Journal of Physics A: Mathematical and Theoretical, May 17, 2022. http://dx.doi.org/10.1088/1751-8121/ac7091.

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Abstract The spread and scrambling of quantum information is a topic of considerable current interest. Numerous studies suggest that quantum information evolves according to hydrodynamical equations of motion, even though it is a starkly diﬀerent quantity to better-known hydrodynamical variables such as charge and energy. In this work we show that the well-known memory matrix formalism for traditional hydrodynamics can be applied, with relatively little modiﬁcation, to the question of operator growth in many-body quantum systems. On a conceptual level, this shores up the connection between information scrambling and hydrodynamics. At a practical level, it provides a framework for calculating quantities related to operator growth like the butterﬂy velocity and front diﬀusion constant, and for understanding how these quantities are constrained by microscopic symmetries. We apply this formalism to calculate operator-hydrodynamical coeﬃcients perturbatively in a family of Floquet models. Our formalism allows us to identify the processes aﬀecting information transport that arise from the spatiotemporal symmetries of the model.

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41

Kavanaugh, Theresa C., and Robert J. Silbey. "Exact Optical Susceptibilities of Three State Systems Interacting with a Single Frequency Electric Field." MRS Proceedings 247 (1992). http://dx.doi.org/10.1557/proc-247-169.

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ABSTRACTUsing Floquet theory together with density matrix formalism, an exact, nonpertur-bative expression for the optical susceptibility of a three level system interacting with a single mode electric field is derived. By using a three state model that mimics a polymeric system, it is shown that in certain cases, using typical values for the intensity of the electric field, successive terms in the series χω=χ(1) + χ(3) E2… approach the same of order magnitude.

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42

Shah, Muzamil, Niaz Ali Khan, and Muhammad Sajid. "Optical conductivity of ultra thin Floquet topological insulators." Journal of Physics D: Applied Physics, August 1, 2022. http://dx.doi.org/10.1088/1361-6463/ac85c9.

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Abstract In this paper, we theoretically investigate topological aspects of a 3D ultrathin TI in the presence of an irradiated oﬀ-resonant circularly-polarized light ﬁeld. Based on the Floquet formalism we treat the light ﬁeld as an external perturbation which introduces an eﬀective energy term in the system Hamiltonian and hence, gives mass to the massless Dirac fermions at the surfaces of the Floquet topological insulators (FTIs). By controlling the strength of the oﬀ-resonant light ﬁeld we manipulate the interplay between the hybridization energies of the top and bottom surface states (SSs), and the eﬀective energies induced by the irradiated light ﬁeld to open and close band gaps of the SSs Dirac electrons. This gives rise to topologically nontrivial and trivial phases. We calculate the longitudinal and transverse conductivities of the FTI thin ﬁlm and show that these strongly depend on the strength of the irradiated light ﬁeld. The behavior of conductivities signatures TQPTs between distinct topological insulating phases.

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43

Hayami, Satoru, Ryota Yambe, and Hiroaki Kusunose. "Analysis of Photo-Induced Chirality and Magnetic Toroidal Moment Based on Floquet Formalism." Journal of the Physical Society of Japan 93, no. 4 (April 15, 2024). http://dx.doi.org/10.7566/jpsj.93.043702.

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44

Wook Kim, Sang. "Magnetic-field inversion symmetry in quantum pumps with discrete symmetries under the Floquet formalism." Physical Review B 68, no. 8 (August 13, 2003). http://dx.doi.org/10.1103/physrevb.68.085312.

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45

Tauber, C. "Effective vacua for Floquet topological phases: A numerical perspective on the switch-function formalism." Physical Review B 97, no. 19 (May 24, 2018). http://dx.doi.org/10.1103/physrevb.97.195312.

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46

Kitamura, Sota, and Hideo Aoki. "Floquet topological superconductivity induced by chiral many-body interaction." Communications Physics 5, no. 1 (July 5, 2022). http://dx.doi.org/10.1038/s42005-022-00936-w.

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AbstractNon-equilibrium engineering is becoming a seminal way for realising novel quantum phases that are unimaginable in equilibrium. In particular, Floquet theory applied to quantum mechanics revealed that we can even control the band topology in semimetallic/insulating systems, while the straightforward application to topological superconductivity fails for typical superconductors because the supercondicting gap function does not couple to the electromagnetic field in a direct manner. Here we show that we can overcome this difficulty by taking account of correlation effects. Namely, we study how a d-wave superconductivity is changed when illuminated by circularly-polarised light (CPL) in the repulsive Hubbard model in the strong-coupling regime. We adopt the Floquet formalism for the Gutzwiller-projected effective Hamiltonian with the time-periodic Schrieffer-Wolff transformation. We find that CPL induces a topological superconductivity with a d + id pairing, which arises from the chiral spin coupling and the three-site term generated by the CPL. The latter term remains significant even for low frequencies and low intensities of the CPL. This is clearly reflected in the obtained phase diagram against the laser intensity and temperature for various frequencies red-detuned from the Hubbard U, with the transient dynamics also examined. The phenomenon revealed here can open a novel, dynamical way to induce a topological superconductivity.

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47

Sieberer, Lukas M., Maria-Theresa Rieder, Mark H. Fischer, and Ion C. Fulga. "Statistical periodicity in driven quantum systems: General formalism and application to noisy Floquet topological chains." Physical Review B 98, no. 21 (December 3, 2018). http://dx.doi.org/10.1103/physrevb.98.214301.

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48

Phani, A. Srikantha, and Norman A. Fleck. "Elastic Boundary Layers in Two-Dimensional Isotropic Lattices." Journal of Applied Mechanics 75, no. 2 (February 27, 2008). http://dx.doi.org/10.1115/1.2775503.

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The phenomenon of elastic boundary layers under quasistatic loading is investigated using the Floquet–Bloch formalism for two-dimensional, isotropic, periodic lattices. The elastic boundary layer is a region of localized elastic deformation, confined to the free edge of a lattice. Boundary layer phenomena in three isotropic lattice topologies are investigated: the semiregular Kagome lattice, the regular hexagonal lattice, and the regular fully triangulated lattice. The boundary layer depth is on the order of the strut length for the hexagonal and the fully triangulated lattices. For the Kagome lattice, the depth of boundary layer scales inversely with the relative density. Thus, the boundary layer in a Kagome lattice of low relative density spans many cells.

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49

Tsai, Ya-Wen, Yao-Ting Wang, Emanuele Galiffi, Andrea Alù, and Ta-Jen Yen. "Surface-wave coupling in double Floquet sheets supporting phased temporal Wood anomalies." Nanophotonics, July 11, 2022. http://dx.doi.org/10.1515/nanoph-2022-0253.

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Abstract We investigate symmetry-selective surface-mode excitation in a general periodically time-modulated double-layer system, where the modulation of the two layers has a constant phase difference. By deriving a semi-analytic transfer matrix formalism of a Drude-dispersive double-layer structure with periodic time-modulation, we calculate the scattering amplitudes and the corresponding transmission coefficient. Our results show that the phase-difference between the modulation of the two sheets plays an essential role in significantly enhancing and selectively exciting either the even or odd surface mode with high efficiency. We verify our calculations with full-wave time-domain simulations, showing that efficient switching between the surface-wave excitation of the two distinct modal channels can be achieved, even under illumination from a single off-resonant Gaussian pulse, by controlling the phase difference between the two modulations. Our results pave the way towards ultrafast, symmetry-selective mode excitation and switching via temporal modulation.

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50

Ganguly, Sudin, Kallol Mondal, and Santanu K. Maiti. "Thermoelectric response in zigzag chains: Impact of irradiation-induced conformational changes." Journal of Applied Physics 136, no. 1 (July 2, 2024). http://dx.doi.org/10.1063/5.0213895.

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This study explores the enhancement of thermoelectric response in a zigzag chain through irradiation with arbitrarily polarized light. The irradiation induces changes in hopping strengths, creating an asymmetric transmission profile around the Fermi energy, which is a crucial factor for achieving a higher figure of merit (FOM). Specific light configurations result in an FOM exceeding unity. We employ the Floquet–Bloch ansatz and minimal coupling scheme to model the irradiation effect, with transport properties evaluated using Green’s function technique within the Landauer–Büttiker formalism. The investigation covers electrical conductance, thermopower, and thermal conductance due to electrons and phonons. Our research deepens understanding and opens avenues for tailoring nanostructures to fine-tune thermoelectric properties, advancing highly efficient energy conversion devices exploiting irradiation effects.

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