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Ultracold atomic gas provides a useful tool to explore many-body physics. One of the recent additions to this experimental toolbox is the Floquet engineering, where periodic modulation of the Hamiltonian allows the creation of effective…

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…

Quantum Gases · Physics 2021-08-25 Emanuele G. Dalla Torre , David Dentelski

Time-periodic (Floquet) driving is a powerful way to control the dynamics of complex systems, which can be used to induce a plethora of new physical phenomena. However, when applied to many-body systems, Floquet driving can also cause…

Statistical Mechanics · Physics 2023-05-30 Wen Wei Ho , Takashi Mori , Dmitry A. Abanin , Emanuele G. Dalla Torre

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…

We investigate a class of periodically driven many-body systems that allows us to extend the phenomenon of prethermalization to the vicinity of isolated intermediate-to-low drive frequencies away from the high-frequency limit. We provide…

Statistical Mechanics · Physics 2021-05-05 Christoph Fleckenstein , Marin Bukov

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…

Statistical Mechanics · Physics 2019-11-06 Wojciech De Roeck , Victor Verreet

Periodic driving of a quantum (or classical) many-body system can alter the systems properties significantly and therefore has emerged as a promising way to engineer exotic quantum phases, such as topological insulators and discrete time…

Statistical Mechanics · Physics 2022-12-22 Artem Rakcheev , Andreas M. Läuchli

We study the dynamics and stability in a strongly interacting resonantly driven two-band model. Using exact numerical simulations, we find a stable regime at large driving frequencies where the time evolution is governed by a local Floquet…

Quantum Gases · Physics 2016-04-20 Marin Bukov , Markus Heyl , David A. Huse , Anatoli Polkovnikov

This work explores a fundamental dynamical structure for a wide range of many-body quantum systems under periodic driving. Generically, in the thermodynamic limit, such systems are known to heat up to infinite temperature states after…

Quantum Physics · Physics 2016-02-15 Tomotaka Kuwahara , Takashi Mori , Keiji Saito

The nonequilibrium quantum dynamics of closed many-body systems is a rich yet challenging field. While recent progress for periodically driven (Floquet) systems has yielded a number of rigorous results, our understanding on quantum…

Statistical Mechanics · Physics 2021-08-04 Takashi Mori , Hongzheng Zhao , Florian Mintert , Johannes Knolle , Roderich Moessner

Periodically driven many-body systems generally heat towards a featureless 'infinite-temperature' state. As an alternative to uniform heating in a clean system, here we establish a Floquet superheating regime, where fast heating nucleates…

Statistical Mechanics · Physics 2025-11-18 Yang Hou , Andrea Pizzi , Huike Jin , Johannes Knolle , Roderich Moessner , Hongzheng Zhao

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)…

Statistical Mechanics · Physics 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…

Quantum Gases · Physics 2026-04-03 Lorenz Wanckel , André Eckardt

We study the heating dynamics of a generic one dimensional critical system when driven quasiperiodically. Specifically, we consider a Fibonacci drive sequence comprising the Hamiltonian of uniform conformal field theory (CFT) describing…

Strongly Correlated Electrons · Physics 2020-09-23 Bastien Lapierre , Kenny Choo , Apoorv Tiwari , Clément Tauber , Titus Neupert , Ramasubramanian Chitra

The theoretical treatment of quasi-periodically driven quantum systems is complicated by the inapplicability of the Floquet theorem, which requires strict periodicity. In this work we consider a quantum system driven by a bi-harmonic…

Statistical Mechanics · Physics 2018-06-26 David Cubero , Ferruccio Renzoni

We discuss the effect of dissipation on heating which occurs in periodically driven quantum many body systems. We especially focus on a periodically driven Bose-Hubbard model coupled to an energy and particle reservoir. Without dissipation,…

Statistical Mechanics · Physics 2017-04-21 Koudai Iwahori , Norio Kawakami

We analyse quasi-periodically driven quantum systems that can be mapped exactly to periodically driven ones and find Floquet Time Spirals in analogy with spatially incommensurate spiral magnetic states. Generalising the mechanism to…

Disordered Systems and Neural Networks · Physics 2019-10-09 Hongzheng Zhao , Florian Mintert , Johannes Knolle

We study the effect of time-periodically varying the hopping amplitude in a one-dimensional Bose-Hubbard model, such that its time-averaged value is zero. Employing Floquet theory, we derive a static effective Hamiltonian in which…

Quantum Gases · Physics 2018-08-03 Gregor Pieplow , Fernando Sols , Charles E. Creffield

Heating under periodic driving is a generic nonequilibrium phenomenon, and it is a challenging problem in nonequilibrium statistical physics to derive a quantitatively accurate heating rate. In this work, we provide a simple formula on the…

Statistical Mechanics · Physics 2022-02-16 Takashi Mori

We propose a general method of cooling -- periodic driving generated by spatially deformed Hamiltonians -- and study it in general one-dimensional quantum critical systems described by a conformal field theory. Our protocol is able to…

Strongly Correlated Electrons · Physics 2022-11-02 Xueda Wen , Ruihua Fan , Ashvin Vishwanath
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