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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

Driven quantum systems may realize novel phenomena absent in static systems, but driving-induced heating can limit the time-scale on which these persist. We study heating in interacting quantum many-body systems driven by random sequences…

Quantum Physics · Physics 2021-02-03 Hongzheng Zhao , Florian Mintert , Roderich Moessner , Johannes Knolle

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

We present a comprehensive study of different phases in the Dicke model incorporating both anisotropy and dissipation. We begin with a concise review of the quantum phase transition in this setting, highlighting how these two parameters…

Quantum Physics · Physics 2026-01-19 Pragna Das , Saptarshi Saha

We investigate the periodically driven dynamics of many-body systems, either classical or quantum, finite-dimensional or mean-field, displaying an unbounded phase-space. Using the lattice $\phi^4$ model and the $p$-spin spherical model as…

Statistical Mechanics · Physics 2024-12-10 Lorenzo Correale , Leticia F. Cugliandolo , Marco Schirò , Alessandro Silva

We study the emergence and stability of a prethermal phase in an integrable many-body system subjected to a Fibonacci drive. Despite not being periodic, Fibonacci drives have been shown to introduce dynamical constraints due to their…

Statistical Mechanics · Physics 2024-04-11 Souradeep Ghosh , Sourav Bhattacharjee , Souvik Bandyopadhyay

We investigate the emergence of time quasicrystals (TQCs) in the open Dicke model, subjected to a quasi-periodic Fibonacci drive. TQCs are characterized by a robust sub-harmonic quasi-periodic response that is qualitatively distinct from…

Quantum Physics · Physics 2026-02-06 Sk Anisur , Sayan Choudhury

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

We study the dynamics of the Fermi-Hubbard model driven by a time-periodic modulation of the interaction within nonequilibrium Dynamical Mean-Field Theory. For moderate interaction, we find clear evidence of thermalization to a genuine…

Strongly Correlated Electrons · Physics 2018-05-09 Francesco Peronaci , Marco Schiró , Olivier Parcollet

Time-periodic driving provides a promising route to engineer non-trivial states in quantum many-body systems. However, while it has been shown that the dynamics of integrable systems can synchronize with the driving into a non-trivial…

Strongly Correlated Electrons · Physics 2016-01-22 Elena Canovi , Marcus Kollar , Martin Eckstein

We reveal a continuous dynamical heating transition between a prethermal and an infinite-temperature stage in a clean, chaotic periodically driven classical spin chain. The transition time is a steep exponential function of the drive…

Statistical Mechanics · Physics 2019-01-21 Owen Howell , Phillip Weinberg , Dries Sels , Anatoli Polkovnikov , Marin Bukov

We study a random and quasiperiodically driven one-dimensional non-integrable PXP spin chain in a magnetic field for two distinct drive protocols. Each of these protocols involves square pulses with two driving frequencies which are integer…

Quantum Physics · Physics 2025-08-06 Krishanu Ghosh , Sayan Choudhury , Diptiman Sen , K. Sengupta

We explore the phenomena of prethermalization in a many-body classical system of rotors under aperiodic drives characterised by waiting time distribution (WTD), where the waiting time is defined as the time between two consecutive kicks. We…

Statistical Mechanics · Physics 2025-12-23 Aritra Kundu , Tanay Nag , Atanu Rajak

Quantum dynamics on quasiperiodic geometries has recently gathered significant attention in ultra-cold atom experiments where non trivial localised phases have been observed. One such quasiperiodic model is the so called Fibonacci model. In…

Disordered Systems and Neural Networks · Physics 2021-05-26 Cecilia Chiaracane , Francesca Pietracaprina , Archak Purkayastha , John Goold

We study the unitary dynamics of randomly or quasi-periodically driven tilted Bose-Hubbard (tBH) model in one dimension deep inside its Mott phase starting from a $\mathbb{Z}_2$ symmetry-broken state. The randomness is implemented via a…

Strongly Correlated Electrons · Physics 2020-07-09 Bhaskar Mukherjee , Arnab Sen , Diptiman Sen , K. Sengupta

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

Periodically driven systems are a common topic in modern physics. In optical lattices specifically, driving is at the origin of many interesting phenomena. However, energy is not conserved in driven systems, and under periodic driving,…

Statistical Mechanics · Physics 2017-11-27 Anton Quelle , Cristiane Morais Smith

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

Driven many-body quantum systems where some parameter in the Hamiltonian is varied quasiperiodically in time may exhibit nonequilibrium steady states that are qualitatively different from their periodically driven counterparts. Here we…

Strongly Correlated Electrons · Physics 2018-12-27 Sourav Nandy , Arnab Sen , Diptiman Sen

We study conservation laws of a general class of quantum many-body systems subjected to an external time dependent quasi-periodic driving. {When the frequency of the driving is large enough or the strength of the driving is small enough, we…

Mathematical Physics · Physics 2024-08-13 Matteo Gallone , Beatrice Langella
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