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Characterization and control of matter by optical means is at the forefront of research both due to fundamental insights and technological promise. Theoretical modeling of periodically driven systems is a prerequisite to understanding and…

介观与纳米尺度物理 · 物理学 2020-03-06 Gabriel Cabra , Ignacio Franco , Michael Galperin

We study operator dynamics in many-body quantum systems, focusing on generic features of systems that are ergodic, spatially extended, and lack conserved densities. Quantum circuits of various types provide simple models for such systems.…

统计力学 · 物理学 2025-04-15 Takato Yoshimura , Samuel J. Garratt , J. T. Chalker

Time-periodic driving facilitates a wealth of novel quantum states and quantum engineering. The interplay of Floquet states and strong interactions is particularly intriguing, which we study using time-periodic fields in a one-dimensional…

量子气体 · 物理学 2021-07-27 S. Fazzini , P. Chudzinski , C. Dauer , I. Schneider , S. Eggert

We develop the Floquet-Magnus expansion for a classical equation of motion under a periodic drive that is applicable to both isolated and open systems. For classical systems, known approaches based on the Floquet theorem fail due to the…

强关联电子 · 物理学 2018-11-13 Sho Higashikawa , Hiroyuki Fujita , Masahiro Sato

Often quantum systems are not isolated and interactions with their environments must be taken into account. In such open quantum systems these environmental interactions can lead to decoherence and dissipation, which have a marked influence…

量子物理 · 物理学 2016-11-14 Raymond Kapral

We consider a quantum system periodically driven with a strength which varies slowly on the scale of the driving period. The analysis is based on a general formulation of the Floquet theory relying on the extended Hilbert space. It is shown…

量子气体 · 物理学 2017-02-22 Viktor Novičenko , Egidijus Anisimovas , Gediminas Juzeliūnas

For a periodically driven open quantum system, the Floquet theorem states that the time evolution operator $\Lambda(t,0)$ of the system can be factorized as $\Lambda(t,0)=\mathcal{D}(t)e^{\mathcal{L}_{eff}t}$ with micro-motion operator…

量子物理 · 物理学 2017-07-18 C. M. Dai , Hong Li , W. Wang , X. X. Yi

In this paper, the mathematical framework providing a description of completely positive and trace preserving dynamics of open quantum systems is addressed. Special case of time-dependent Lindbladian governed by periodic Hamiltonian is…

数学物理 · 物理学 2014-08-06 Krzysztof Szczygielski

We aim to give a pedagogic presentation of the open system dynamics of a periodically driven qubit in contact with a temperature bath. We are specifically interested in the thermodynamics of the qubit. It is well known that by combining the…

量子物理 · 物理学 2018-04-25 Brecht Donvil

In this article, we investigate periodically driven open quantum systems within the framework of Floquet-Lindblad master equations. Specifically, we discuss Lindblad master equations in the presence of a coherent, time-periodic driving and…

We investigate both pure and mixed states Floquet dynamical quantum phase transition (DQPT) in the periodically time-dependent extended XY model. We exactly show that the proposed Floquet Hamiltonian of interacting spins can be expressed as…

统计力学 · 物理学 2020-11-03 Sara Zamani , R. Jafari , A. Langari

As a paradigmatic model of open quantum system, the spin-boson model is widely used in theoretical and experimental investigations. Beyond the weak coupling limit, the spin dynamics can be described by a time-nonlocal generalized master…

统计力学 · 物理学 2018-08-10 L. Magazzù , S. Denisov , P. Hänggi

Floquet engineering, modulating quantum systems in a time periodic way, lies at the central part for realizing novel topological dynamical states. Thanks to the Floquet engineering, various new realms on experimentally simulating…

量子物理 · 物理学 2022-07-13 Huan-Yu Wang , Xiao-Ming Zhao , Lin Zhuang , Wu-Ming Liu

Cavity optomechanics and electromechanics form an established field of research investigating the interactions between electromagnetic fields and the motion of quantum mechanical resonators. In many applications, linearised form of the…

量子物理 · 物理学 2020-06-18 Iivari Pietikäinen , Ondřej Černotík , Radim Filip

Every physical regime is some sort of approximation of reality. One lesser-known realm that is the semiquantal regime, which may be used to describe systems with both classical and quantum subcomponents. In the present review, we discuss…

混沌动力学 · 物理学 2009-11-07 Mason A. Porter

Floquet dynamics of a quantum system subject to periodic modulations of system parameters provide a powerful tool for engineering new quantum matter with exotic properties. While system dynamics are significantly altered, the periodic…

量子气体 · 物理学 2018-07-02 Xi-Wang Luo , Chuanwei Zhang

We investigate the asymptotic state of a periodically driven many-body quantum system which is weakly coupled to an environment. The combined action of the modulations and the environment steers the system towards a state being…

量子气体 · 物理学 2019-03-04 Michael Hartmann , Dario Poletti , Mikhail Ivanchenko , Sergey Denisov , Peter Hänggi

Periodically driven quantum systems, known as Floquet systems, provide a versatile platform for engineering novel topological phases absent in static settings. However, dynamically characterizing these non-equilibrium topological invariants…

量子物理 · 物理学 2026-05-08 Xin Shen , Bing Lu , Yan-Qing Zhu

A first-principles approach to describe electron dynamics in open quantum systems driven far from equilibrium via external time-dependent stimuli is introduced. Within this approach, the driven Liouville von Neumann methodology is used to…

介观与纳米尺度物理 · 物理学 2023-05-10 Annabelle Oz , Abraham Nitzan , Oded Hod , Juan E. Peralta

The non-Markovian dynamics of open quantum systems is still a challenging task, particularly in the non-perturbative regime at low temperatures. While the Stochastic Liouville-von Neumann equation (SLN) provides a formally exact tool to…

统计力学 · 物理学 2016-12-21 Michael Wiedmann , Jürgen T. Stockburger , Joachim Ankerhold