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We investigate a long time asymptotic state of periodically driven open quantum systems analytically. The model we consider in this paper is a free fermionic system coupled to an energy and particle reservoir. We clarify some generic…

统计力学 · 物理学 2016-11-14 Koudai Iwahori , Norio Kawakami

Quenches are now routinely used in synthetic quantum systems to study a variety of fundamental effects, including ergodicity breaking, light-cone-like spreading of information, and dynamical phase transitions. It was shown recently that the…

量子气体 · 物理学 2020-01-10 Louis Villa , Julien Despres , Laurent Sanchez-Palencia

We discuss a combination of unitary and anti-unitary symmetry of quantum Liouvillian dynamics, in the context of open quantum systems, which implies a D2 symmetry of the complex Liovillean spectrum. For sufficiently weak system-bath…

量子物理 · 物理学 2012-08-31 Tomaz Prosen

In general, isolated integrable quantum systems have been found to relax to an apparent equilibrium state in which the expectation values of few-body observables are described by the generalized Gibbs ensemble. However, recent work has…

量子气体 · 物理学 2013-07-03 Kai He , Lea F. Santos , Tod M. Wright , Marcos Rigol

We formulate and discuss explicit computation of dynamic correlation functions in open quadradic fermionic systems which are driven and dissipated by the Lindblad jump processes that are linear in canonical fermionic operators. Dynamic…

统计力学 · 物理学 2018-01-17 Pavel Kos , Tomaz Prosen

In many integrable models static (equal time) correlation functions of local observables after a quantum quench relax to stationary values, which are described by a generalized Gibbs ensemble (GGE). Here we establish that the same holds…

统计力学 · 物理学 2012-12-19 Fabian H. L. Essler , Stefano Evangelisti , Maurizio Fagotti

Even after almost a century, the foundations of quantum statistical mechanics are still not completely understood. In this work, we provide a precise account on these foundations for a class of systems of paradigmatic importance that appear…

量子物理 · 物理学 2019-10-02 Marek Gluza , Jens Eisert , Terry Farrelly

A Luttinger liquid (LL) describes low energy excitations of many interacting one dimensional systems, and exhibits universal response both in and out of equilibrium. We analyze its behaviour in the non-hermitian realm after quantum…

强关联电子 · 物理学 2020-04-01 Balázs Dóra , Catalin Pascu Moca

Simulating the real-time evolution of quantum spin systems far out of equilibrium poses a major theoretical challenge, especially in more than one dimension. We experimentally explore the dynamics of a two-dimensional Ising spin system with…

We report our realization of a parity-time (PT) symmetric non-Hermitian many-body system using cold atoms with dissipation. After developing a theoretical framework on PT-symmetric many-body systems using ultracold atoms in an optical…

The elusive nature of localized integrals of motion (or l-bits) in disordered quantum systems lies at the core of some of their most prominent features, i.e. emergent integrability and lack of thermalization. Here, we study the quench…

无序系统与神经网络 · 物理学 2021-06-18 Leonardo Benini , Piero Naldesi , Rudolf A. Römer , Tommaso Roscilde

Systems with long-range interactions display a short-time relaxation towards Quasi Stationary States (QSS) whose lifetime increases with the system size. In the paradigmatic Hamiltonian Mean-field Model (HMF) out-of-equilibrium phase…

统计力学 · 物理学 2016-02-15 Gabriele Martelloni , Gianluca Martelloni , Pierre de Buyl , Duccio Fanelli

The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by combining a quasiparticle picture for the…

统计力学 · 物理学 2018-03-30 Vincenzo Alba , Pasquale Calabrese

Dynamical quantum phase transitions (DQPTs) are non-equilibrium transitions characterized by the orthogonality between an initial quantum state and its time-evolved counterpart following a sudden quench. Recently, studies of this phenomenon…

量子物理 · 物理学 2026-05-27 Kai Zhang , Chang Shu , Kai Sun

The dynamics of the Luttinger model and the sine-Gordon model (at the Luther-Emery point and in the semiclassical approximation) after a quantum quench is studied. We compute in detail one and two-point correlation functions for different…

强关联电子 · 物理学 2015-05-13 A. Iucci , M. A. Cazalilla

We study the non equilibrium dynamics in the fermionic Hubbard model after a sudden change of the interaction strength. To this scope, we introduce a time dependent variational approach in the spirit of the Gutzwiller ansatz. At the…

强关联电子 · 物理学 2015-05-27 Marco Schiro' , Michele Fabrizio

We study the temporal evolution of the mutual information (MI) in a one-dimensional Kitaev chain, coupled to a fermionic Markovian bath, subsequent to a global quench of the chemical potential. In the unitary case, the MI (or equivalently…

统计力学 · 物理学 2020-05-27 Somnath Maity , Souvik Bandyopadhyay , Sourav Bhattacharjee , Amit Dutta

These notes cover in some detail lectures I gave at the Les Houches Summer School 2012. I describe here work done with Deepak Iyer with important contributions from Hujie Guan. I discuss some aspects of the physics revealed by quantum…

量子气体 · 物理学 2016-06-30 Natan Andrei

We establish a unified framework for dynamical quantum phase transitions (DQPTs) in non-Hermitian systems that encompasses both biorthogonal and self-norm non-biorthogonal formulations for pure and mixed states under quantum quench…

量子物理 · 物理学 2025-10-27 Yongxu Fu , Gao Xianlong

Over the past decade, parity-time (PT) symmetry and anti-PT (APT) symmetry in various physical systems have been extensively studied, leading to significant experimental and theoretical advancements. However, physical systems that…

量子物理 · 物理学 2024-12-09 Ruicong Huang , Wencong Wang , Yuyang Liang , Dongmei Liu , Min Gu