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Periodically driven systems have emerged as a useful technique to engineer the properties of quantum systems, and are in the process of being developed into a standard toolbox for quantum simulation. An outstanding challenge that leaves…

Quantum Physics · Physics 2024-10-24 Paul Manuel Schindler , Marin Bukov

We investigate many-body dynamics in a one-dimensional interacting periodically driven system, based on a partially filled version of Thouless's topologically quantized adiabatic pump. The corresponding single-particle Floquet bands are…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Netanel H. Lindner , Erez Berg , Mark S. Rudner

Given a $generic$ two-dimensional conformal field theory (CFT), we propose an analytically solvable setup to study the Floquet dynamics of the CFT, i.e., the dynamics of a CFT subject to a periodic driving. A complete phase diagram in the…

Strongly Correlated Electrons · Physics 2018-05-23 Xueda Wen , Jie-Qiang Wu

Phase transitions are fundamental in nature. A small parameter change near a critical point leads to a qualitative change in system properties. Across a regular phase transition, the system remains in thermal equilibrium and, therefore,…

Strongly Correlated Electrons · Physics 2024-12-24 Jingwen Li , Michael Turaev , Masakazu Matsubara , Kristin Kliemt , Cornelius Krellner , Shovon Pal , Manfred Fiebig , Johann Kroha

Exploiting the rich phenomenology of periodically-driven many-body systems is notoriously hindered by persistent heating in both the classical and quantum realm. Here, we investigate to what extent coupling to a large thermal reservoir…

Statistical Mechanics · Physics 2022-08-22 Thomas Veness , Kay Brandner

Clean and interacting periodically driven quantum systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can…

Disordered Systems and Neural Networks · Physics 2016-08-23 Vedika Khemani , Achilleas Lazarides , Roderich Moessner , S. L. Sondhi

We study heating dynamics in isolated quantum many-body systems driven periodically at high frequency and large amplitude. Combining the high-frequency expansion for the Floquet Hamiltonian with Fermi's golden rule (FGR), we develop a…

Statistical Mechanics · Physics 2021-10-22 Tatsuhiko N. Ikeda , Anatoli Polkovnikov

We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged…

Quantum Gases · Physics 2015-08-20 Marin Bukov , Luca D'Alessio , Anatoli Polkovnikov

Having established the fact that interacting classical kicked rotor systems exhibit long-lived prethermal phase with quasi-conserved average Hamiltonian before entering into chaotic heating regime, we use spatio-temporal fluctuation…

Statistical Mechanics · Physics 2021-09-01 Aritra Kundu , Atanu Rajak , Tanay Nag

By means of a Floquet analysis, we study the quantum dynamics of a fully connected Lipkin-Ising ferromagnet in a periodically driven transverse field showing that thermalization in the steady state is intimately connected to properties of…

Statistical Mechanics · Physics 2015-08-31 Angelo Russomanno , Rosario Fazio , Giuseppe E. Santoro

Open quantum systems, when driven by a periodic field, can relax to effective statistical ensembles that resemble their equilibrium counterparts. We consider a class of problems in which a periodically- driven quantum system is allowed to…

Statistical Mechanics · Physics 2015-05-27 Thomas Iadecola , Claudio Chamon

Periodically driven quantum systems can be used to realize quantum pumps, ratchets, artificial gauge fields and novel topological states of matter. Starting from the Keldysh approach, we develop a formalism, the Floquet-Boltzmann equation,…

Quantum Gases · Physics 2015-12-16 Maximilian Genske , Achim Rosch

Many-body phenomena far from equilibrium present challenges beyond reach by classical computational resources. Digital quantum computers provide a possible way forward but noise limits their use in the near-term. We propose a scheme to…

Quantum Physics · Physics 2021-12-23 Kaixiang Su , Michael J. Lawler

The dynamics of isolated quantum systems following a sudden quench plays a central role in many areas of material science, high-energy physics, and quantum chemistry. Featuring complex phenomena with implications for thermalization,…

We investigate a long time asymptotic state of periodically driven open quantum systems analytically. The model we consider in this paper is a free fermionic system coupled to an energy and particle reservoir. We clarify some generic…

Statistical Mechanics · Physics 2016-11-14 Koudai Iwahori , Norio Kawakami

We study the prethermal Floquet phases of a two-dimensional (2D) Rydberg atom array on a rectangular lattice in the presence of a periodic drive with large drive amplitude. We derive an analytic, albeit perturbative, Floquet Hamiltonian…

Strongly Correlated Electrons · Physics 2023-09-26 Somsubhra Ghosh , Diptiman Sen , K. Sengupta

We discuss the effect of dissipation on heating which occurs in periodically driven quantum many body systems. We especially focus on a periodically driven Bose-Hubbard model coupled to an energy and particle reservoir. Without dissipation,…

Statistical Mechanics · Physics 2017-04-21 Koudai Iwahori , Norio Kawakami

We demonstrate the existence of long-lived prethermalized states in the Mott insulating Hubbard model driven by periodic electric fields. These states, which also exist in the resonantly driven case with a large density of photo-induced…

Strongly Correlated Electrons · Physics 2018-03-02 Andreas Herrmann , Yuta Murakami , Martin Eckstein , Philipp Werner

We propose a new Floquet time crystal model that responds in arbitrary multiples of the driving period. Such an $n$-tuple discrete time crystal is theoretically constructed by permuting spins in a disordered chain and is well suited for…

Quantum Physics · Physics 2025-06-10 Hongye Yu , Tzu-Chieh Wei

Driven many-body systems typically experience heating due to the lack of energy conservation. Heating may be suppressed for time-periodic drives, but little is known for less regular drive protocols. In this work, we investigate the heating…

Statistical Mechanics · Physics 2023-06-29 Jin Yan , Roderich Moessner , Hongzheng Zhao
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