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Controlling interactions is the key element for quantum engineering of many-body systems. Using time-periodic driving, a naturally given many-body Hamiltonian of a closed quantum system can be transformed into an effective target…

Flux attachment provides a powerful conceptual framework for understanding certain forms of topological order, including most notably the fractional quantum Hall effect. Despite its ubiquitous use as a theoretical tool, directly realizing…

Quantum Physics · Physics 2024-11-18 Helia Kamal , Jack Kemp , Yin-Chen He , Yohei Fuji , Monika Aidelsburger , Peter Zoller , Norman Y. Yao

We study the quantum dynamics of the kicked Dicke model(KDM) in terms of the Floquet operator and analyze the connection between the chaos and thermalization in this context. The Hamiltonian map is constructed by taking the classical limit…

Statistical Mechanics · Physics 2016-09-06 S. Ray , A. Ghosh , S. Sinha

Open physical systems with balanced loss and gain, described by non-Hermitian parity-time ($\mathcal{PT}$) reflection symmetric Hamiltonians, exhibit a transition which could engenders modes that exponentially decay or grow with time and…

Quantum Gases · Physics 2019-02-27 Jiaming Li , Andrew K. Harter , Ji Liu , Leonardo de Melo , Yogesh N. Joglekar , Le Luo

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…

Quantum Physics · Physics 2023-09-25 Yu Wang , Vahid Mosallanejad , Wei Liu , Wenjie Dou

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

In this paper, we analyze the harmonically driven Jaynes-Cummings and Lipkin-Meshkov-Glick models using both numerical integration of time-dependent Hamiltonians and Floquet theory. For a separation of time-scales between the drive and…

Quantum Physics · Physics 2024-08-27 Jonas Larson

We present an effective Hamiltonian theory available for some quasi-periodically driven quantum systems which does not need the knowledge of the Fourier frequencies of the control signal. It could also be available for some chaotically…

Quantum Physics · Physics 2021-10-27 David Viennot

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…

Mathematical Physics · Physics 2026-05-25 Daniel Burgarth , Robin Hillier , Davide Lonigro , Leonhard Richter

We propose a method to obtain Floquet states---also known as light-induced states---and their quasi-energies from real-time wavefunctions without solving the Floquet equation. This is useful for the analysis of various phenomena in…

Atomic Physics · Physics 2017-11-21 V. Kapoor , D. Bauer

Non-equilibrium steady states are created when a periodically driven quantum system is also incoherently interacting with an environment -- as it is the case in most realistic situations. The notion of Floquet engineering refers to the…

Materials Science · Physics 2023-07-12 Alberto Castro , Shunsuke A. Sato

Time crystals are genuinely non-equilibrium quantum phases of matter that break time-translational symmetry. While in non-equilibrium closed systems time crystals have been experimentally realized, it remains an open question whether or not…

Quantum Physics · Physics 2020-05-27 Andreu Riera-Campeny , Maria Moreno-Cardoner , Anna Sanpera

We investigate the conditions under which periodically driven quantum systems subject to dissipation exhibit a stable subharmonic response. Noting that coupling to a bath introduces not only cooling but also noise, we point out that a…

Statistical Mechanics · Physics 2020-04-08 Achilleas Lazarides , Sthitadhi Roy , Francesco Piazza , Roderich Moessner

An overview is given of recent advances in nonequilibrium statistical mechanics about the statistics of random paths and current fluctuations. Although statistics is carried out in space for equilibrium statistical mechanics, statistics is…

Statistical Mechanics · Physics 2016-04-12 Pierre Gaspard

We report on the experimental implementation of tunable occupation-dependent tunneling in a Bose-Hubbard system of ultracold atoms via time-periodic modulation of the on-site interaction energy. The tunneling rate is inferred from a…

We describe a simple quantum algorithm to simulate time-dependent Hamiltonian, extending the methodology of quantum signal processing. The framework achieves optimal scaling up to some factor with respect to other parameters, and nearly…

Quantum Physics · Physics 2025-03-11 Nhat A. Nghiem

Recent works on observation of discrete time-crystalline signatures throw up major puzzles on the necessity of localization for stabilizing such out-of-equilibrium phases. Motivated by these studies, we delve into a clean interacting…

Strongly Correlated Electrons · Physics 2021-01-04 H. Yarloo , A. Emami Kopaei , A. Langari

It is proved that the energy absorption in a periodically driven classical spin system is exponentially slow in frequency, which results in a two-step relaxation called the Floquet prethermalization. This result is shown by establishing the…

Statistical Mechanics · Physics 2018-09-19 Takashi Mori

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

The classification of topological Floquet systems with time-periodic Hamiltonians transcends that of static systems. For example, spinless fermions in periodically driven two-dimensional lattices are not completely characterized by the…

Quantum Gases · Physics 2019-07-02 F. Nur Ünal , Babak Seradjeh , André Eckardt