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Periodically driven quantum systems host exotic phenomena which often do not have any analog in undriven systems. Floquet prethermalization and dynamical freezing of certain observables, via the emergence of conservation laws, are realized…

Floquet systems are governed by periodic, time-dependent, Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However this unhappy state of…

强关联电子 · 物理学 2022-10-05 Fenner Harper , Rahul Roy , Mark S. Rudner , S. L. Sondhi

Periodic driving has emerged as a powerful tool in the quest to engineer new and exotic quantum phases. While driven many-body systems are generically expected to absorb energy indefinitely and reach an infinite-temperature state, the rate…

Systems subject to high-frequency driving exhibit Floquet prethermalization, that is, they heat exponentially slowly on a time scale that is large in the drive frequency, $\tau_{\rm h} \sim \exp(\omega)$. Nonetheless, local observables can…

统计力学 · 物理学 2024-03-25 Nicholas O'Dea , Fiona Burnell , Anushya Chandran , Vedika Khemani

Prethermalization phenomena in driven systems are generally understood via a local Floquet Hamiltonian obtained from a high-frequency expansion. Remarkably, recently it has been shown that a driven Kitaev spin liquid with fractionalized…

强关联电子 · 物理学 2026-05-26 Anton Romen , Johannes Knolle , Michael Knap

Prethermalization refers to the transient phenomenon where a system thermalizes according to a Hamiltonian that is not the generator of its evolution. We provide here a rigorous framework for quantum spin systems where prethermalization is…

数学物理 · 物理学 2017-07-11 Dmitry Abanin , Wojciech De Roeck , Wen Wei Ho , Francois Huveneers

Periodically driven Floquet quantum many-body systems have revealed new insights into the rich interplay of thermalization, and growth of entanglement. The phenomenology of dynamical freezing, whereby a translationally invariant many-body…

量子物理 · 物理学 2026-03-12 Rohit Mukherjee , Haoyu Guo , Debanjan Chowdhury

We identify several phases of thermalization that describe regimes of behavior in isolated, periodically driven (Floquet), mesoscopic quantum chaotic systems. We also identify a new Floquet thermal ensemble -- the ladder ensemble -- that is…

统计力学 · 物理学 2023-11-21 Alan Morningstar , David A. Huse , Vedika Khemani

Periodic driving has emerged as a powerful experimental tool to engineer physical properties of isolated, synthetic quantum systems. However, due to the lack of energy conservation and heating effects, non-trivial (e.g., topological)…

统计力学 · 物理学 2016-12-07 Wen Wei Ho , Dmitry A. Abanin

Floquet engineering, the control of a quantum system by means of time-periodic driving, allows to modify the properties of the system so that it becomes described by an approximate effective time-independent Hamiltonian. However, in the…

量子气体 · 物理学 2026-04-03 Lorenz Wanckel , André Eckardt

Motivated by experimental observations of time-symmetry breaking behavior in a periodically driven (Floquet) system, we study a one-dimensional spin model to explore the stability of such Floquet discrete time crystals (DTCs) under the…

强关联电子 · 物理学 2017-09-25 Tian-Sheng Zeng , D. N. Sheng

A tremendous amount of recent attention has focused on characterizing the dynamical properties of periodically driven many-body systems. Here, we use a novel numerical tool termed `density matrix truncation' (DMT) to investigate the…

强关联电子 · 物理学 2021-02-23 Bingtian Ye , Francisco Machado , Christopher David White , Roger S. K. Mong , Norman Y. Yao

An external periodic (Floquet) drive is believed to bring any initial state to the featureless infinite temperature state in generic nonintegrable isolated quantum many-body systems in the thermodynamic limit, irrespective of the driving…

量子物理 · 物理学 2024-07-25 Tatsuhiko N. Ikeda , Sho Sugiura , Anatoli Polkovnikov

The manipulation of many-body systems often involves time-dependent forces that cause unwanted heating. One strategy to suppress heating is to use time-periodic (Floquet) forces at large driving frequencies. For quantum spin systems with…

量子气体 · 物理学 2021-08-25 Emanuele G. Dalla Torre , David Dentelski

We analyze the dynamics of periodically-driven (Floquet) Hamiltonians with short- and long-range interactions, finding clear evidence for a thermalization time, $\tau^*$, that increases exponentially with the drive frequency. We observe…

量子物理 · 物理学 2020-01-01 Francisco Machado , Gregory D. Meyer , Dominic V. Else , Chetan Nayak , Norman Y. Yao

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…

统计力学 · 物理学 2021-10-22 Tatsuhiko N. Ikeda , Anatoli Polkovnikov

It is well understood that many-body systems driven at high frequency heat up only exponentially slowly and exhibit a long prethermalization regime. We prove rigorously that a certain relevant class of systems heat very slowly under weak…

统计力学 · 物理学 2019-11-06 Wojciech De Roeck , Victor Verreet

In a periodically driven (Floquet) system, there is the possibility for new phases of matter, not present in stationary systems, protected by discrete time-translation symmetry. This includes topological phases protected in part by…

统计力学 · 物理学 2017-04-10 Dominic V. Else , Bela Bauer , Chetan Nayak

The conventional framework for defining and understanding phases of matter requires thermodynamic equilibrium. Extensions to non-equilibrium systems have led to surprising insights into the nature of many-body thermalization and the…

We present a systematic framework for Floquet prethermalization under strong resonant driving, emphasizing the pivotal role of dynamical space-time symmetries. Our approach demonstrates how dynamical space-time symmetries map onto the…

量子物理 · 物理学 2025-12-01 Ilyoun Na , Jack Kemp , Sinéad M. Griffin , Yang Peng