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Quantum algorithms have the potential to revolutionize our understanding of open quantum systems in chemistry. In this work, we demonstrate that a repeated interaction model, which could serve as the foundation for a digital quantum…

Quantum Physics · Physics 2025-05-05 Lea K. Northcote , Matthew S. Teynor , Gemma C. Solomon

Classical random matrix ensembles were originally introduced in physics to approximate quantum many-particle nuclear interactions. However, there exists a plethora of quantum systems whose dynamics is explained in terms of few-particle…

Quantum Physics · Physics 2021-11-17 Manan Vyas , Thomas H. Seligman

Progress in the creation of large scale, artificial quantum coherent structures demands the investigation of their nonequilibrium dynamics when strong interactions, even between remote parts, are non-perturbative. Analysis of multiparticle…

We analyze general enough models of repeated indirect measurements in which a quantum system interacts repeatedly with randomly chosen probes on which Von Neumann direct measurements are performed. We prove, under suitable hypotheses, that…

Mathematical Physics · Physics 2015-06-05 Michel Bauer , Tristan Benoist , Denis Bernard

We investigate the effect of repeated measurement for quantum dynamics of the suppressed systems which classical counterparts exhibit chaos. The essential feature of such systems is the quantum localization phenomena strongly limiting…

Quantum Physics · Physics 2008-02-03 B. Kaulakys

We study thermodynamic operations which bring a nonequilibrium steady state (NESS) to another NESS in physical systems under nonequilibrium conditions. We model the system by a suitable Markov jump process, and treat thermodynamic…

Statistical Mechanics · Physics 2018-08-02 Teruhisa S. Komatsu , Naoko Nakagawa , Shin-ichi Sasa , Hal Tasaki

We investigate the emergent open dynamics of a quantum system that undergoes rapid repeated unitary interactions with a sequence of ancillary systems. We study in detail how decoherence appears as a subleading effect when a quantum system…

Quantum Physics · Physics 2016-10-26 Daniel Grimmer , David Layden , Robert B. Mann , Eduardo Martin-Martinez

We consider closed quantum many-body systems subject to stochastic resetting. This means that their unitary time evolution is interrupted by resets at randomly selected times. When a reset takes place the system is reinitialized to a state…

Statistical Mechanics · Physics 2021-12-15 Gabriele Perfetto , Federico Carollo , Matteo Magoni , Igor Lesanovsky

The population dynamics and stability of ecosystems of interacting species is studied from the perspective of non-equilibrium thermodynamics by assuming that species, through their biotic and abiotic interactions, are units of entropy…

Biological Physics · Physics 2007-05-23 Karo Michaelian

A non-Markovian model of quantum repeated interactions between a small quantum system and an infinite chain of quantum systems is presented. By adapting and applying usual pro jection operator techniques in this context, discrete versions…

Quantum Physics · Physics 2015-05-13 C Pellegrini , F Petruccione

Studying systems where many individual bodies in motion interact with one another is a complex and interesting area. Simple mechanisms that may be determined for biological, chemical, or physical reasons can lead to astonishingly complex…

Quantitative Methods · Quantitative Biology 2023-01-03 Cameron McNamee , Renee Reijo Pera

Experiments with trapped atomic gases have opened novel possibilities for studying the evolution of nonequilibrium finite quantum systems, which revived the necessity of reconsidering and developing the theory of such processes. This review…

Statistical Mechanics · Physics 2012-01-16 V. I. Yukalov

In finite many-body quantum systems such as nuclei, atoms, mesoscopic systems like quantum dots and small metallic grains, interacting spin systems modeling quantum computing core and BEC, the interparticle interactions are essentially…

Quantum Physics · Physics 2017-10-24 Manan Vyas

We present an extensive introduction to quantum collision models (CMs), also known as repeated interactions schemes: a class of microscopic system-bath models for investigating open quantum systems dynamics whose use is currently spreading…

Quantum Physics · Physics 2022-03-16 Francesco Ciccarello , Salvatore Lorenzo , Vittorio Giovannetti , G. Massimo Palma

Embedded random matrix ensembles are generic models for describing statistical properties of finite isolated interacting quantum many-particle systems. For the simplest spinless systems, with say $m$ particles in $N$ single particle states…

Quantum Physics · Physics 2015-04-06 V. K. B. Kota , Manan Vyas

A quantum dynamical model of two interacting spins, with chaotic and regular components, is investigated using a finite two-particles symmetrized basis. Chaotic eigenstates give rise to an equilibrium occupation number distribution in close…

chao-dyn · Physics 2019-08-17 F. Borgonovi , I. Guarneri , F. M. Izrailev , G. Casati

Time evolution in several classes of quantum devices is generated through the application of quantum gates. Resetting is a critical technological feature in these systems allowing for mid-circuit measurement and complete or partial qubit…

Quantum Physics · Physics 2025-05-14 Sascha Wald , Louie Hong Yao , Thierry Platini , Chris Hooley , Federico Carollo

A fundamental challenge is to understand nonequilibrium statistical mechanics starting from microscopic chaos in the equations of motion of a many-particle system. In this review we summarize recent theoretical advances along these lines.…

Chaotic Dynamics · Physics 2010-01-04 R. Klages

Nonreciprocal interactions that violate Newton's law 'actio=reactio' are ubiquitous in nature and are currently intensively investigated in active matter, chemical reaction networks, population dynamics, and many other fields. An…

Statistical Mechanics · Physics 2026-02-24 Atul Tanaji Mohite , Heiko Rieger

Stochastic resetting describes dynamics which are reinitialized to a reference state at random times. These protocols are attracting significant interest: they can stabilize nonequilibrium stationary states, generate correlations in…

Quantum Physics · Physics 2026-01-21 Federico Carollo , Sascha Wald