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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 derive a topological classification of the steady states of $d$-dimensional lattice models driven by $D$ incommensurate tones. Mapping to a unifying $(d+D)$-dimensional localized model in frequency space reveals anomalous localized…

Mesoscale and Nanoscale Physics · Physics 2021-03-18 David M. Long , Philip J. D. Crowley , Anushya Chandran

We set up a general density-operator approach to geometric steady-state pumping through slowly driven open quantum systems. This approach applies to strongly interacting systems that are weakly coupled to multiple reservoirs at high…

Mesoscale and Nanoscale Physics · Physics 2017-05-11 T. Pluecker , M. R. Wegewijs , J. Splettstoesser

Three-dimensional Weyl materials provide a controlled setting for exploring Floquet dynamics in open quantum systems, including nonequilibrium steady states (NESS). Motivated by the desire for a strongly-coupled description, we employ…

High Energy Physics - Theory · Physics 2026-02-26 Matteo Baggioli , Sebastian Grieninger , James Stokes

Periodically driven quantum systems, known as Floquet systems, have been a focus of non-equilibrium physics in recent years, thanks to their rich dynamics. Not only time-periodic systems exhibit symmetries similar to those in spatially…

Quantum Physics · Physics 2021-10-01 Guoqing Wang , Changhao Li , Paola Cappellaro

Though topological aspects of energy bands are known to play a key role in quantum transport in solid-state systems, the implications of Floquet band topology for transport in momentum space (i.e., acceleration) are not explored so far.…

Quantum Gases · Physics 2012-07-11 Derek Y. H. Ho , Jiangbin Gong

"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…

Strongly Correlated Electrons · Physics 2021-09-16 Iliya Esin , Gaurav Kumar Gupta , Erez Berg , Mark S. Rudner , Netanel H. Lindner

The unrelated discoveries of quasicrystals and topological insulators have in turn challenged prevailing paradigms in condensed-matter physics. We find a surprising connection between quasicrystals and topological phases of matter: (i)…

Mesoscale and Nanoscale Physics · Physics 2012-09-18 Yaacov E. Kraus , Yoav Lahini , Zohar Ringel , Mor Verbin , Oded Zilberberg

We show how a large family of interacting nonequilibrium phases of matter can arise from the presence of multiple time-translation symmetries, which occur by quasiperiodically driving an isolated quantum many-body system with two or more…

Strongly Correlated Electrons · Physics 2020-05-14 Dominic V. Else , Wen Wei Ho , Philipp T. Dumitrescu

We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively…

Quantum Physics · Physics 2021-01-20 Xiao-Xiao Li , Peng-Bo Li

Quantum pumping, in its different forms, is attracting attention from different fields, from fundamental quantum mechanics, to nanotechnology, to superconductivity. We investigate the crossover of quantum pumping from the adiabatic to the…

The noise properties of pump currents through an open double quantum dot setup with non-adiabatic ac driving are investigated. Driving frequencies close to the internal resonances of the double dot-system mark the optimal working points at…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael Strass , Peter Hänggi , Sigmund Kohler

We present an approach to compute the Floquet quasienergy spectrum of time-periodic systems. The method allows to characterize the light-matter interaction in finite and extended structures by carefully addressing the resolution of the…

Mesoscale and Nanoscale Physics · Physics 2024-09-09 Álvaro R. Puente-Uriona , Michele Modugno , Ivo Souza , Julen Ibañez-Azpiroz

Prethermalization, where quasi-steady states are realized in the intermediate long time regime (prethermal regime), in periodically driven (Floquet) systems is an important phenomenon since it provides a platform of nontrivial Floquet…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Kaoru Mizuta , Kazuaki Takasan , Norio Kawakami

Considerable theoretical and experimental efforts have been devoted to the quench dynamics, in particular, the dynamical quantum phase transition (DQPT) and the steady-state transition. These developments have motivated us to study the…

Quantum Gases · Physics 2020-03-30 Pei Wang , Gao Xianlong

The conventional characterization of periodically driven systems usually necessitates the time-domain information beyond Floquet bands, hence lacking universal and direct schemes of measuring Floquet topological invariants. Here we propose…

Quantum Gases · Physics 2020-10-28 Long Zhang , Lin Zhang , Xiong-Jun Liu

A periodically driven quantum system, when coupled to a heat bath, relaxes to a non-equilibrium asymptotic state. In the general situation, the retrieval of this asymptotic state presents a rather non-trivial task. It was recently shown…

Statistical Mechanics · Physics 2016-05-12 Tatsuhiko Shirai , Juzar Thingna , Takashi Mori , Sergey Denisov , Peter Hänggi , Seiji Miyashita

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…

Strongly Correlated Electrons · Physics 2019-06-04 Shaon Sahoo , Imke Schneider , Sebastian Eggert

Stimulated by the recent progress in engineering topological band structures in cold atomic gases, we study the dynamic topological phenomena for atoms loaded in a periodically driven optical lattice. When the frequency of the periodic…

Quantum Gases · Physics 2022-05-02 De-Huan Cai , Wei Yi

Topological matter exhibits exotic properties yet phases characterized by large topological invariants are difficult to implement, despite rapid experimental progress. A promising route toward higher topological invariants is via engineered…

Quantum Physics · Physics 2019-01-02 Lei Xiao , Xingze Qiu , Kunkun Wang , Zhihao Bian , Xiang Zhan , Hideaki Obuse , Barry C. Sanders , Wei Yi , Peng Xue