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Observables of out-of-equilibrium quantum many-body systems display complex temporal behavior that encodes the underlying physical mechanisms but typically resists straightforward interpretations. We introduce recurrence analysis - a…

Quantum Physics · Physics 2026-04-21 Tomasz Szołdra , Matheus S. Palmero , Peter Schmelcher

Quantum many-body systems out of equilibrium can host intriguing phenomena such as transitions to exotic dynamical states. Although this emergent behaviour can be observed in experiments, its potential for technological applications is…

Statistical Mechanics · Physics 2021-01-04 Federico Carollo , Kay Brandner , Igor Lesanovsky

Simulating the nonequilibrium dynamics of thermal states is a fundamental problem across scales from high energy to condensed matter physics. Quantum computers may provide a way to solve this problem efficiently. Preparing a thermal state…

Quantum Physics · Physics 2023-11-03 Jason Saroni , Henry Lamm , Peter P. Orth , Thomas Iadecola

In a non-equilibrium many-body system, the quantum information dynamics between non-complementary regions is a crucial feature to understand the local relaxation towards statistical ensembles. Unfortunately, its characterization is a…

Statistical Mechanics · Physics 2019-07-31 Vincenzo Alba , Pasquale Calabrese

The approach to thermal equilibrium, or thermalization, in isolated quantum systems is among the most fundamental problems in statistical physics. Recent theoretical studies have revealed that thermalization in isolated quantum systems has…

Statistical Mechanics · Physics 2018-05-23 Takashi Mori , Tatsuhiko N. Ikeda , Eriko Kaminishi , Masahito Ueda

One of the general mechanisms that give rise to the slow cooperative relaxation characteristic of classical glasses is the presence of kinetic constraints in the dynamics. Here we show that dynamical constraints can similarly lead to slow…

Quantum Physics · Physics 2018-07-31 Zhihao Lan , Merlijn van Horssen , Stephen Powell , Juan P. Garrahan

Many physical and chemical processes in the condensed phase environment exhibit non-Markovian quantum dynamics. As such simulations are challenging on classical computers, we developed a variational quantum algorithm that is capable of…

Quantum Physics · Physics 2024-03-11 Peter L. Walters , Joachim Tsakanikas , Fei Wang

We establish a new non-equilibrium scaling regime in the short time evolution of one-dimensional interacting open quantum systems subject to a generic heating mechanism. This dynamical regime is characterized by uncompensated phonon…

Quantum Gases · Physics 2018-09-13 Michael Buchhold , Sebastian Diehl

Experimental advances have allowed for the exploration of nearly isolated quantum many-body systems whose coupling to an external bath is very weak. A particularly interesting class of such systems is those which do not thermalize under…

Strongly Correlated Electrons · Physics 2022-10-05 Dominic V. Else , Christopher Monroe , Chetan Nayak , Norman Y. Yao

Mapping finite-temperature dynamical phase diagrams of quantum many-body models is a necessary step towards establishing a framework of far-from-equilibrium quantum many-body universality. However, this is quite difficult due, in part, to…

Quantum Physics · Physics 2026-02-20 Lucas Katschke , Roland C. Farrell , Umberto Borla , Lode Pollet , Jad C. Halimeh

In this work we develop a general formalism that categorizes the action of broken scale invariance on the non-equilibrium dynamics of non-relativistic quantum systems. This approach is equally applicable to both strongly and weakly…

Quantum Gases · Physics 2018-07-11 Jeff Maki , Li-Ming Zhao , Fei Zhou

The many-body physics at quantum phase transitions shows a subtle interplay between quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we first give a pedagogical introduction to the equilibrium…

Statistical Mechanics · Physics 2026-04-22 Davide Rossini , Ettore Vicari

Dynamics in correlated quantum matter is a hard problem, as its exact solution generally involves a computational effort that grows exponentially with the number of constituents. While a remarkable progress has been witnessed in recent…

Strongly Correlated Electrons · Physics 2021-04-28 Roberto Verdel , Markus Schmitt , Yi-Ping Huang , Petr Karpov , Markus Heyl

We combine the formalisms of diagonal entropy and Jarzynski Equality to study the thermodynamic properties of closed quantum systems. Applying this approach to a quantum harmonic oscillator, the diagonal entropy offers a notion of…

Quantum Physics · Physics 2013-07-09 Van A. Ngo , Stephan Haas

We calculate the time evolution of a far-from-equilibrium initial state of a non-relativistic ultracold Bose gas in one spatial dimension. The non-perturbative approximation scheme is based on a systematic expansion of the two-particle…

Other Condensed Matter · Physics 2008-11-26 T. Gasenzer , J. Berges , M. G. Schmidt , M. Seco

We present a thermodynamic framework for the refined weak coupling limit. In this limit the interaction between system and environment is weak, but not negligible. As a result, the system dynamics becomes non-Markovian breaking divisibility…

Quantum Physics · Physics 2019-07-26 Ángel Rivas

This work develops a rigorous framework for analysing ergodicity and mixing in time-inhomogeneous quantum dynamics. It considers quantum evolutions generated by sequences of quantum channels and examines in detail the relationship between…

Mathematical Physics · Physics 2026-03-25 Abdessatar Souissi

We study the real-time dynamics of quantum models with long-range interactions coupled to a heat-bath within the closed-time path-integral formalism. We show that quantum fluctuations depress the transition temperature. In the subcritical…

Condensed Matter · Physics 2009-10-30 Leticia F. Cugliandolo , Gustavo Lozano

We detail the experimental observation of the non-equilibrium many-body phenomenon prethermalization. We study the dynamics of a rapidly and coherently split one-dimensional Bose gas. An analysis based on the use of full quantum mechanical…

Many-body systems relaxing to equilibrium can exhibit complex dynamics even if their steady state is trivial. At low temperatures or high densities their evolution is often dominated by steric hindrances affecting particle motion [1,2,3].…

Statistical Mechanics · Physics 2016-05-10 M. M. Valado , C. Simonelli , M. D. Hoogerland , I. Lesanovsky , J. P. Garrahan , E. Arimondo , D. Ciampini , O. Morsch