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Floquet engineering offers an unparalleled platform for realizing novel non-equilibrium topological phases. However, the unique structure of Floquet systems, which includes multiple quasienergy gaps, poses a significant challenge to…

量子物理 · 物理学 2026-01-07 Chen-Yang Wang , Jing-Ping Xu , Ce Wang , Ya-Ping Yang

We derive a systematic high-frequency expansion for the effective Hamiltonian and the micromotion operator of periodically driven quantum systems. Our approach is based on the block diagonalization of the quasienergy operator in the…

量子气体 · 物理学 2015-09-25 André Eckardt , Egidijus Anisimovas

"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

In isolated quantum many-body systems periodically driven in time, the asymptotic dynamics at late times can exhibit distinct behavior such as thermalization or dynamical freezing. Understanding the properties of and the convergence towards…

强关联电子 · 物理学 2025-10-23 Luke Staszewski , Asmi Haldar , Pieter W. Claeys , Alexander Wietek

We develop a trajectory-based approach for excited-state molecular dynamics simulations of systems subject to an external periodic drive. We combine the exact-factorization formalism, allowing to treat electron-nuclear systems in…

化学物理 · 物理学 2021-03-31 Marco Schirò , Florian G. Eich , Federica Agostini

Optical drives at terahertz and mid-infrared frequencies in quantum materials are increasingly used to reveal the nonlinear dynamics of collective modes in correlated many-body systems and their interplay with electromagnetic waves. Recent…

We propose a bulk topological invariant for one-dimensional Floquet systems with chiral symmetry which quantifies the particle transport on each sublattice during the evolution. This chiral flow is physically motivated, locally computable,…

强关联电子 · 物理学 2018-10-17 Xu Liu , Fenner Harper , Rahul Roy

An iterative algorithm is established which enables one to compute individual Floquet states even for many-body systems with high-dimensional Hilbert spaces that are not accessible to commonly employed conventional methods. A strategy is…

量子气体 · 物理学 2021-11-29 Nils Krüger , Martin Holthaus

Periodically driven non-Hermitian systems could possess exotic nonequilibrium phases with unique topological, dynamical and transport properties. In this work, we introduce an experimentally realizable two-leg ladder model subjecting to…

量子物理 · 物理学 2020-08-26 Longwen Zhou

With light-matter interaction extending into strong regime, as well as rapid development of laser technology, systems subjecting to a time-periodic perturbation are attracted broad attention. Floquet theorem and Floquet time-independent…

量子物理 · 物理学 2023-09-25 Yu Wang , Vahid Mosallanejad , Wei Liu , Wenjie Dou

We consider nontrivial topological phases in Floquet systems using unitary loops and stroboscopic evolutions under a static Floquet Hamiltonian $H_F$ in the presence of dynamical space-time symmetries $G$. While the latter has been subject…

介观与纳米尺度物理 · 物理学 2023-11-27 Ilyoun Na , Jack Kemp , Robert-Jan Slager , Yang Peng

We present a systematic construction of effective Hamiltonians of periodically driven quantum systems. Because of an equivalence between the time dependence of a Hamiltonian and an interaction in its Floquet operator, flow equations, that…

量子物理 · 物理学 2013-10-23 Albert Verdeny , Andreas Mielke , Florian Mintert

The Floquet-Magnus expansion is a widely used tool to derive effective descriptions of time-periodic quantum systems by approximating their dynamics with a time-independent Hamiltonian. However, its standard formulation is, strictly…

数学物理 · 物理学 2026-05-25 Daniel Burgarth , Robin Hillier , Davide Lonigro , Leonhard Richter

Floquet driven systems represent an extremely interesting arena to study out-of-equilibrium phenomena. For instance, they provide realizations of discrete time crystals, where the discrete time translation symmetry of the periodic…

量子物理 · 物理学 2022-04-25 J. R. M. de Nova , F. Sols

A quantum critical system described at low energy by a conformal field theory (CFT) and subjected to a time-periodic boundary drive displays multiple dynamical regimes depending on the drive frequency. We compute the behavior of quantities…

强关联电子 · 物理学 2017-07-03 William Berdanier , Michael Kolodrubetz , Romain Vasseur , Joel E. Moore

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

Equilibrium statistical mechanics rests on the assumption of ergodic dynamics of a system modulo the conservation laws of local observables: extremization of entropy immediately gives Gibbs' ensemble (GE) for energy conserving systems and a…

统计力学 · 物理学 2022-04-20 Asmi Haldar , Arnab Das

We study characteristic, dynamic, and saturation regimes of the out-of-time-order correlation (OTOC) in the constant field Floquet system with and without longitudinal field. In the calculation of OTOC, we take local spins in longitudinal…

量子物理 · 物理学 2022-08-19 Rohit Kumar Shukla , Sunil Kumar Mishra

The Su-Schrieffer-Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting non-trivial edge states. By using Floquet theory we study how the spectrum of this one-dimensional topological insulator is affected by a…

介观与纳米尺度物理 · 物理学 2015-12-01 V. Dal Lago , M. Atala , L. E. F. Foa Torres

Floquet engineering, the control of quantum systems using periodic driving, is an old concept in condensed matter physics, dating back to ideas such as the inverse Faraday effect. There is a renewed interest in this concept owing to the…

强关联电子 · 物理学 2018-12-20 Takashi Oka , Sota Kitamura