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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

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

A classical spin which is antiferromagnetically coupled to a system of strongly correlated conduction electrons is shown to exhibit unconventional real-time dynamics which cannot be described by Gilbert damping. Depending on the strength of…

Strongly Correlated Electrons · Physics 2016-09-19 Mohammad Sayad , Roman Rausch , Michael Potthoff

We explore the dynamics of the entanglement entropy near equilibrium in highly-entangled pure states of two quantum-chaotic spin chains undergoing unitary time evolution. We examine the relaxation to equilibrium from initial states with…

Statistical Mechanics · Physics 2015-06-26 Liangsheng Zhang , Hyungwon Kim , David A. Huse

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 present a brief overview of some of the analytic perturbative techniques for the computation of the Floquet Hamiltonian for a periodically driven, or Floquet, quantum many-body system. The key technical points about each of the methods…

Strongly Correlated Electrons · Physics 2021-09-08 Arnab Sen , Diptiman Sen , K. Sengupta

When a closed quantum system is driven periodically with period $T$, it approaches a periodic state synchronized with the drive in which any local observable measured stroboscopically approaches a steady value. For integrable systems, the…

Statistical Mechanics · Physics 2014-08-06 Achilleas Lazarides , Arnab Das , Roderich Moessner

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

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 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…

Statistical Mechanics · Physics 2021-10-22 Tatsuhiko N. Ikeda , Anatoli Polkovnikov

Periodically driven classical many-body systems can host a rich zoo of prethermal dynamical phases. In this work, we extend the paradigm of classical prethermalization to aperiodically driven systems. We establish the existence of a…

Quantum Physics · Physics 2025-01-03 Sajag Kumar , Sayan Choudhury

We develop a flow renormalization approach for periodically-driven quantum systems, which reveals prethermal dynamical regimes and associated timescales via direct correspondence between real time and flow time behavior. In this formalism,…

Quantum Physics · Physics 2021-03-16 Martin Claassen

Periodic (Floquet) driving enables Hamiltonian engineering and nonequilibrium phases, but interacting systems eventually heat by absorbing energy from the drive. Disorder can greatly delay this process, yielding long-lived prethermal…

Quantum Physics · Physics 2026-04-07 Cooper M. Selco , Christian Bengs , Chaitali Shah , Ashok Ajoy

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…

Strongly Correlated Electrons · Physics 2017-09-25 Tian-Sheng Zeng , D. N. Sheng

We study long-time asymptotic states of periodically driven quantum systems coupled to a thermal bath. In order to describe a class of such a system, we introduce the Floquet-Gibbs state, i.e. the state whose density matrix is diagonalized…

Statistical Mechanics · Physics 2018-12-27 Tatsuhiko Shirai , Takashi Mori , Seiji Miyashita

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 study probability distribution of a steady state of a periodically driven system coupled to a thermal bath by using a quantum master equation in the weak coupling limit. It is proved that, even when the external field is strong, the…

Statistical Mechanics · Physics 2015-03-11 Tatsuhiko Shirai , Takashi Mori , Seiji Miyashita

We study the stroboscopic dynamics of a spin-$S$ object subjected to $\delta$-function kicking in the transverse magnetic field which is generated following the Fibonacci sequence. The corresponding classical Hamiltonian map is constructed…

Statistical Mechanics · Physics 2019-11-27 Sayak Ray , Subhasis Sinha , Diptiman Sen

Parametric gates and processes engineered from the perspective of the static effective Hamiltonian of a driven system are central to quantum technology. However, the perturbative expansions used to derive static effective models may not be…

Understanding the microscopic mechanisms of thermalization in closed quantum systems is among the key challenges in modern quantum many-body physics. We demonstrate a method to probe local thermalization in a large-scale many-body system by…