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One of the fundamental problems of quantum statistical physics is how an ideally isolated quantum system can ever reach thermal equilibrium behavior despite the unitary time evolution of quantum-mechanical systems. Here, we study, via…

Quantum Physics · Physics 2025-06-24 Marvin Lenk , Sayak Biswas , Anna Posazhennikova , Johann Kroha

We develop a systematic analytic approach to aging effects in quantum disordered systems in contact with an environment. Within the closed-time path-integral formalism we include dissipation by coupling the system to a set of independent…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo , Gustavo Lozano

We investigate the non-equilibrium dynamics of isolated quantum spin systems via an exact mapping to classical stochastic differential equations. We show that one can address significantly larger system sizes than recently obtained,…

Strongly Correlated Electrons · Physics 2020-12-30 S. E. Begg , A. G. Green , M. J. Bhaseen

We study the unitary dynamics of the bosonic quantum East model, a kinetically constrained lattice model which generalises the quantum East model to arbitrary occupation per site. We consider the semiclassical limit of large (but finite)…

Statistical Mechanics · Physics 2022-09-16 Andreas Geißler , Juan P. Garrahan

Studying and controlling quantum many-body interactions is fundamentally important for quantum science and related emerging technologies. Optically addressable solid-state spins offer a promising platform for exploring various quantum…

Quantum Physics · Physics 2024-08-02 Mi Lei , Rikuto Fukumori , Chun-Ju Wu , Edwin Barnes , Sophia Economou , Joonhee Choi , Andrei Faraon

We study the dynamics of a classical disordered macroscopic model completely isolated from the environment reproducing, in a classical setting, the "quantum quench" protocol. We show that, depending on the pre and post quench parameters the…

Statistical Mechanics · Physics 2017-09-13 Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi

Novel dynamical phases that violate ergodicity have been a subject of extensive research in recent years. A periodically driven system is naively expected to lose all memory of its initial state due to thermalization, yet this can be…

Quantum Physics · Physics 2022-03-08 Philipp Frey , Stephan Rachel

We show that a quantum state transfer, previously studied as a continuous time process in networks of interacting spins, can be achieved within the model of discrete time quantum walks with position dependent coin. We argue that due to…

Quantum Physics · Physics 2016-10-05 Pawel Kurzynski , Antoni Wojcik

The short- and long-time dynamics of model systems undergoing a glass transition with apparent inversion of Kauzmann and dynamical arrest glass transition lines is investigated. These models belong to the class of the spherical mean-field…

Disordered Systems and Neural Networks · Physics 2016-01-06 Corrado Rainone , Ulisse Ferrari , Matteo Paoluzzi , Luca Leuzzi

We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a…

Statistical Mechanics · Physics 2022-10-19 Alessandro Santini , Giuseppe E. Santoro , Mario Collura

Discrete-time quantum walks allow Floquet topological insulator materials to be explored using controllable systems such as ultracold atoms in optical lattices. By numerical simulations, we study the robustness of topologically protected…

Quantum Physics · Physics 2016-08-02 Thorsten Groh , Stefan Brakhane , Wolfgang Alt , Dieter Meschede , Janos Asbóth , Andrea Alberti

In Floquet engineering, periodic driving is used to realize novel phases of matter which are inaccessible in thermal equilibrium. For this purpose, the Floquet theory provides us a recipe of obtaining a static effective Hamiltonian.…

Statistical Mechanics · Physics 2023-03-29 Takashi Mori

We develop a rigorous treatment of discontinuous stochastic unitary evolution for a system of quantum particles that interacts singularly with quantum "bubbles" at random instants of time. This model of a "cloud chamber" allows to watch and…

Mathematical Physics · Physics 2007-05-23 V. P. Belavkin

The Hamiltonian conservative system of two interacting particles has been considered both in classical and quantum description. The quantum model has been realized using a symmetrized two-particle basis reordered in the unperturbed energy.…

chao-dyn · Physics 2009-10-30 Fausto Borgonovi , Italo Guarneri , Felix Izrailev

Floquet theory is an indispensable tool for analysing periodically-driven quantum many-body systems. Although it does not universally extend to classical systems, some of its methodologies can be adopted in the presence of well-separated…

Statistical Mechanics · Physics 2022-08-22 Thomas Veness , Kay Brandner

Periodically driven quantum systems, known as Floquet systems, have been a focus of non-equilibrium physics in recent years, thanks to their rich dynamics. Not only time-periodic systems exhibit symmetries similar to those in spatially…

Quantum Physics · Physics 2021-10-01 Guoqing Wang , Changhao Li , Paola Cappellaro

We analyze the complexity of classically simulating continuous-time dynamics of locally interacting quantum spin systems with a constant rate of entanglement breaking noise. We prove that a polynomial time classical algorithm can be used to…

Quantum Physics · Physics 2022-11-11 Rahul Trivedi , J. Ignacio Cirac

We study the zero temperature static properties of dissipative ensembles of quantum Ising spins arranged on periodic one dimensional finite clusters and on an infinite chain. The spins interact ferro-magnetically with nearest-neighbour pure…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leticia F. Cugliandolo , Gustavo S. Lozano , Homero Lozza

Motivated by the search for a quantum analogue of the macroscopic fluctuation theory, we study quantum spin chains dissipatively coupled to quantum noise. The dynamical processes are encoded in quantum stochastic differential equations.…

Statistical Mechanics · Physics 2018-04-20 Michel Bauer , Denis Bernard , Tony Jin

We present an approach for efficiently simulating strongly damped quantum systems subjected to periodic driving, employing a periodic matrix product operator representation of the influence functional. This representation enables the…

Quantum Physics · Physics 2026-04-17 Konrad Mickiewicz , Valentin Link , Walter T. Strunz