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Recent work has shown that a variety of novel phases of matter arise in periodically driven Floquet systems. Among these are many-body localized phases which spontaneously break global symmetries and exhibit novel multiplets of Floquet…

无序系统与神经网络 · 物理学 2016-08-23 C. W. von Keyserlingk , Vedika Khemani , S. L. Sondhi

"Floquet engineering" - designing band structures "on-demand" through the application of coherent time-periodic drives - has recently emerged as a powerful tool for creating new topological and anomalous phases of matter. In this…

强关联电子 · 物理学 2021-09-16 Iliya Esin , Gaurav Kumar Gupta , Erez Berg , Mark S. Rudner , Netanel H. Lindner

Recent works have demonstrated that the Floquet-Bloch bands of periodically-driven systems feature a richer topological structure than their non-driven counterparts. The additional structure in the driven case arises from the periodicity of…

介观与纳米尺度物理 · 物理学 2019-01-24 Frederik Nathan , Mark S. Rudner

We consider the dynamics of an XY spin chain subjected to an external transverse field which is periodically quenched between two values. By deriving an exact expression of the Floquet Hamiltonian for this out-of-equilibrium protocol with…

Recently, several authors have investigated topological phenomena in periodically-driven systems of non-interacting particles. These phenomena are identified through analogies between the Floquet spectra of driven systems and the band…

介观与纳米尺度物理 · 物理学 2013-07-26 Mark S. Rudner , Netanel H. Lindner , Erez Berg , Michael Levin

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

Driving a quantum system periodically in time can profoundly alter its long-time correlations and give rise to exotic quantum states of matter. The complexity of the combination of many-body correlations and dynamic manipulations has the…

强关联电子 · 物理学 2019-06-04 Shaon Sahoo , Imke Schneider , Sebastian Eggert

Recently, effects of nonlinearity on topologically nontrivial systems have attracted attention and the stability of topologically protected edge states has been studied for a quantum walk with nonlinear effects, which is akin to…

量子物理 · 物理学 2020-05-29 Ken Mochizuki , Norio Kawakami , Hideaki Obuse

The features of topological physics can manifest in a variety of physical systems in distinct ways. Periodically driven systems, with the advantage of high flexibility and controllability, provide a versatile platform to simulate many…

量子物理 · 物理学 2022-05-06 Qianqian Chen , Haibin Liu , Min Yu , Shaoliang Zhang , Jianming Cai

We present a Floquet framework for controlling topological features of a one-dimensional optical lattice system with dual-mode resonant driving, in which both the amplitude and phase of the lattice potential are modulated simultaneously. We…

量子气体 · 物理学 2024-09-20 Dalmin Bae , Junyoung Park , Myeonghyeon Kim , Haneul Kwak , Junhwan Kwon , Yong-il Shin

Much recent experimental effort has focused on the realization of exotic quantum states and dynamics predicted to occur in periodically driven systems. But how robust are the sought-after features, such as Floquet topological surface…

量子气体 · 物理学 2019-01-16 Lukas M. Sieberer , Maria-Theresa Rieder , Mark H. Fischer , Ion C. Fulga

Within the Floquet theory of periodically driven quantum systems, the nonlinear single-spin dynamics under pulse of a circularly polarized electromagnetic field is analyzed. It is demonstrated that the field, first, lifts the spin…

量子物理 · 物理学 2022-04-11 O. V. Kibis

We consider the differential conductance of a periodically driven system connected to infinite electrodes. We focus on the situation where the dissipation occurs predominantly in these electrodes. Using analytical arguments and a detailed…

介观与纳米尺度物理 · 物理学 2015-10-07 Michel Fruchart , Pierre Delplace , Joseph Weston , Xavier Waintal , David Carpentier

The stability and bifurcation behaviour of a wake-induced vibro-impacting oscillator is studied. The effects of a discontinuity on the stability of the structure while it is undergoing phase-locked motions due to the surrounding…

混沌动力学 · 物理学 2024-05-17 Rohit Chawla , Aasifa Rounak , Chandan Bose , Vikram Pakrashi

We derive Floquet theory from quantum geometry. We identify quasienergy folding as a consequence of a broken gauge group of the adiabatic gauge potential $U(1){\mapsto}\mathbb{Z}$. Fixing instead the gauge freedom using the…

量子物理 · 物理学 2025-08-26 Paul M. Schindler , Marin Bukov

We develop a low-frequency perturbation theory in the extended Floquet Hilbert space of a periodically driven quantum systems, which puts the high- and low-frequency approximations to the Floquet theory on the same footing. It captures…

介观与纳米尺度物理 · 物理学 2018-10-01 M. Rodriguez-Vega , M. Lentz , B. Seradjeh

Periodically driven quantum systems can exhibit subharmonic response, usually characterized through physical observables and often discussed in interacting settings. Here we show that a sharp subharmonic signature already appears in the…

量子物理 · 物理学 2026-04-28 Rishabh Jha

Time-periodic driving fields could endow a system with peculiar topological and transport features. In this work, we find dynamically controlled localization transitions and mobility edges in non-Hermitian quasicrystals via shaking the…

量子物理 · 物理学 2021-08-25 Longwen Zhou

Electrons in a lattice exhibit time-periodic motion, known as Bloch oscillation, when subject to an additional static electric field. Here we show that a corresponding dynamics can occur upon replacing the spatially periodic potential by a…

介观与纳米尺度物理 · 物理学 2020-04-08 Vanessa Junk , Phillipp Reck , Cosimo Gorini , Klaus Richter

We propose a Floquet period-doubling time-crystal model based on a disordered interacting long-range spin chain where the periodic swapping of nearby spin couples is applied. This protocol can be applied to systems with any local spin…

量子物理 · 物理学 2024-05-27 Roberto Gargiulo , Gianluca Passarelli , Procolo Lucignano , Angelo Russomanno