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The existence and search for thermodynamic phase transitions is of unfading interest. In this paper, we present numerical evidence of dynamical phase transitions occurring in boundary driven systems with a constrained integrated current. It…

统计力学 · 物理学 2017-03-29 Ohad Shpielberg , Yaroslav Don , Eric Akkermans

Periodically driven dynamics of open quantum systems is very interesting because typically non-equilibrium steady state is reached, which is characterized by a non-vanishing current. In this work, we study time discrete and periodically…

量子物理 · 物理学 2021-07-19 Yong-Nan Sun , Kimmo Luoma , Zhao-Di Liu , Jyrki Piilo , Chuan-Feng Li , Guang-Can Guo

This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from…

动力系统 · 数学 2014-11-04 Ugo Galvanetto , Luca Magri

Understanding the equilibration of isolated quantum systems under unitary dynamics is an interesting topic. In this paper, we look at the early time behaviour of periodically and quasi-periodically driven Transverse field Ising chains when…

统计力学 · 物理学 2022-09-14 Dhruvil Doshi

Given two distinct subsets $A,B$ in the state space of some dynamical system, Transition Path Theory (TPT) was successfully used to describe the statistical behavior of transitions from $A$ to $B$ in the ergodic limit of the stationary…

动力系统 · 数学 2020-11-03 Luzie Helfmann , Enric Ribera Borrell , Christof Schütte , Péter Koltai

Nonequilibrium statistical mechanics exhibit a variety of complex phenomena far from equilibrium. It inherits challenges of equilibrium, including accurately describing the joint distribution of a large number of configurations, and also…

统计力学 · 物理学 2024-02-08 Ying Tang , Jing Liu , Jiang Zhang , Pan Zhang

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the…

统计力学 · 物理学 2015-03-20 Markus Heyl , Anatoli Polkovnikov , Stefan Kehrein

Driving a quantum system periodically in time can profoundly alter its long-time dynamics and trigger topological order. Such schemes are particularly promising for generating non-trivial energy bands and gauge structures in quantum-matter…

量子气体 · 物理学 2015-06-11 N. Goldman , J. Dalibard

Clean and interacting periodically driven quantum systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can…

无序系统与神经网络 · 物理学 2016-08-23 Vedika Khemani , Achilleas Lazarides , Roderich Moessner , S. L. Sondhi

We experimentally study a periodically driven many-body localized system realized by interacting fermions in a one-dimensional quasi-disordered optical lattice. By preparing the system in a far-from-equilibrium state and monitoring the…

量子气体 · 物理学 2017-05-24 Pranjal Bordia , Henrik Lüschen , Ulrich Schneider , Michael Knap , Immanuel Bloch

This work considers state dynamics driven by Periodic Autoregressive Moving Average noise, and control of the system over time. Such processes appear frequently in applications involving the environment, such as energy and agriculture.…

最优化与控制 · 数学 2025-09-30 Vyacheslav Kungurtsev

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…

统计力学 · 物理学 2018-06-26 David Cubero , Ferruccio Renzoni

The framework of Mean-field Games (MFGs) is used for modelling the collective dynamics of large populations of non-cooperative decision-making agents. We formulate and analyze a kinetic MFG model for an interacting system of non-cooperative…

最优化与控制 · 数学 2024-07-29 Piyush Grover , Mandy Huo

Driving quantum materials with coherent light has proven a powerful platform to realize a plethora of interesting phases and transitions, ranging from ferroelectricity to superconductivity and limit cycles in pumped magnonics. In this paper…

统计力学 · 物理学 2025-06-24 Carl Philipp Zelle , Romain Daviet , Andrew J. Millis , Sebastian Diehl

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…

统计力学 · 物理学 2024-12-10 Lorenzo Correale , Leticia F. Cugliandolo , Marco Schirò , Alessandro Silva

We study the nonequilibrium dynamics of a many-body bosonic system on a lattice, subject to driving and dissipation. The time-evolution is described by a master equation, which we treat within a generalized Gutzwiller mean field…

量子气体 · 物理学 2013-05-29 Andrea Tomadin , Sebastian Diehl , Peter Zoller

We introduce a novel technique to find the asymptotic time behaviour of deterministic systems exhibiting anomalous diffusion. The procedure is tested for various classes of simple but physically relevant 1-D maps and possible relevance of…

chao-dyn · 物理学 2009-10-22 Roberto Artuso , Giulio Casati , Roberto Lombardi

We investigate the quantum recurrence phenomena in periodically driven systems. We calculate the classical period and the quantum recurrence time and develop their interdependence. We further predict the behavior of the recurrence phenomena…

量子物理 · 物理学 2007-05-23 Farhan Saif

We study the coherent dynamics of a quantum many-body system subject to a time-periodic driving. We argue that in many cases, destructive interference in time makes most of the quantum averages time-periodic, after an initial transient. We…

统计力学 · 物理学 2015-04-29 Angelo Russomanno , Alessandro Silva , Giuseppe E. Santoro

Periodically driven flows are fundamental models of chaotic behavior and the study of their transport properties is an active area of research. A well-known analytic construction is the augmentation of phase space with an additional time…

动力系统 · 数学 2017-06-06 Gary Froyland , Péter Koltai