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We consider the Ising chain driven by oscillatory transverse magnetic fields. For certain parameter regimes, we reveal a hidden integrable structure in the problem, which allows access to the \textit{exact time-evolution} in this driven…

Other Condensed Matter · Physics 2021-04-28 Neil J. Robinson , Isaac Pérez Castillo , Edgar Guzmán-González

We study the statistics of the work done, the fluctuation relations and the irreversible entropy production in a quantum many-body system subject to the sudden quench of a control parameter. By treating the quench as a thermodynamic…

Statistical Mechanics · Physics 2013-07-24 Ross Dorner , John Goold , Cecilia Cormick , Mauro Paternostro , Vlatko Vedral

We study the time evolution of a periodically driven quantum-mechanical system coupled to several reserviors of free fermions at different temperatures. This is a paradigm of a cyclic thermodynamic process. We introduce the notion of a…

Mathematical Physics · Physics 2007-05-23 Walid K. Abou Salem , Juerg Froehlich

Dynamic correlation and response functions of classical and quantum systems in thermal equilibrium are connected by fluctuation-dissipation theorems, which allow an alternative definition of their (unique) temperature. Motivated by this…

Statistical Mechanics · Physics 2015-05-30 Laura Foini , Leticia F. Cugliandolo , Andrea Gambassi

Thermodynamics of layered Ising magnet with the infinite-range ferromagnetic intralayer interaction and random exchange between nearest layers is considered. The case of zero average interlayer exchange is studied in detail. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. N. Timonin

For short-range interacting systems, no Schr\"odinger cat state can be stable when their environment is in thermal equilibrium. We show, by studying a chain of two-level systems with nearest-neighbour Ising interactions, that this is…

Quantum Physics · Physics 2015-06-05 S. Camalet

Scattering theory is a standard tool for the description of transport phenomena in mesoscopic systems. Here, we provide a detailed derivation of this method for nano-scale conductors that are driven by oscillating electric or magnetic…

Statistical Mechanics · Physics 2020-06-01 Kay Brandner

Results are presented for a Floquet Ising chain with duality twisted boundary conditions, taking into account the role of weak integrability breaking in the form of four-fermion interactions. In the integrable case, a single isolated…

Strongly Correlated Electrons · Physics 2023-07-26 Aditi Mitra , Hsiu-Chung Yeh , Fei Yan , Achim Rosch

We study a two dimensional Ising model between thermostats at different temperatures. By applying the recently introduced KQ dynamics, we show that the system reaches a steady state with coexisting phases transversal to the heat flow. The…

Statistical Mechanics · Physics 2008-03-27 E. Agliari , M. Casartelli , A. Vezzani

One-dimensional fracton systems can exhibit perfect localization, failing to reach thermal equilibrium under arbitrary local unitary time evolution. We investigate how this nonergodic behavior manifests in the dynamics of a driven fracton…

Statistical Mechanics · Physics 2019-09-25 Shriya Pai , Michael Pretko

We study nonequilibrium dynamics of the quantum Ising chain at zero temperature when the transverse field is varied stochastically. In the equivalent fermion representation, the equation of motion of Majorana operators is derived in the…

Statistical Mechanics · Physics 2016-04-07 G. Roósz , R. Juhász , F. Iglói

Inspired by current research on measurement-induced quantum phase transitions, we analyze the nonunitary Floquet transverse-field Ising model with complex nearest-neighbor couplings and complex transverse fields. Unlike its unitary…

Quantum Physics · Physics 2024-02-02 Lei Su , Aashish Clerk , Ivar Martin

We consider zero-temperature, stochastic Ising models with nearest-neighbor interactions in two and three dimensions. Using both symmetric and asymmetric initial configurations, we study the evolution of the system with time. We examine the…

Statistical Mechanics · Physics 2009-11-10 Palani Sundaramurthy , D. L. Stein

Floquet systems are periodically driven systems. In this framework, the system Hamiltonian and associated spectra of interest are modified, giving rise to new quantum phases of matter and nonequilibrium dynamics without static counterparts.…

Quantum Physics · Physics 2025-10-20 Yuechun Jiao , Yu Zhang , Jingxu Bai , Suotang Jia , C. Stuart Adams , Zhengyang Bai , Heng Shen , Jianming Zhao

We explore prethermal Floquet steady states and instabilities of the weakly interacting two-dimensional Bose-Hubbard model subject to periodic driving. We develop a description of the nonequilibrium dynamics, at arbitrary drive strength and…

Quantum Gases · Physics 2015-11-17 Marin Bukov , Sarang Gopalakrishnan , Michael Knap , Eugene Demler

We study the response of ideal spin systems which are interacting with both a strong oscillating magnetic field, and a thermal environment, to a weak probing magnetic field. We demonstrate that even the sign of the resulting mean…

Quantum Physics · Physics 2020-06-12 Onno R. Diermann , Heinz-Jürgen Schmidt , Jürgen Schnack , Martin Holthaus

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

Many-body phenomena far from equilibrium present challenges beyond reach by classical computational resources. Digital quantum computers provide a possible way forward but noise limits their use in the near-term. We propose a scheme to…

Quantum Physics · Physics 2021-12-23 Kaixiang Su , Michael J. Lawler

Time-periodic (Floquet) drive is a powerful method to engineer quantum phases of matter, including fundamentally non-equilibrium states that are impossible in static Hamiltonian systems. One characteristic example is the anomalous Floquet…

Quantum Gases · Physics 2022-01-12 Christopher I. Timms , Lukas M. Sieberer , Michael H. Kolodrubetz

We construct a many-body quantized invariant that sharply distinguishes among two dimensional non-equilibrium driven phases of interacting fermions. This is an interacting generalization of a band-structure Floquet quasi-energy winding…

Strongly Correlated Electrons · Physics 2019-02-20 Lukasz Fidkowski , Hoi Chun Po , Andrew C. Potter , Ashvin Vishwanath
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