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Metastability in open system dynamics describes the phenomena of initial relaxation to longlived metastable states before decaying to the asymptotic stable states. It has been predicted in continuous-time stochastic dynamics of both…

Quantum Physics · Physics 2024-04-10 Yuan-De Jin , Chu-Dan Qiu , Wen-Long Ma

We present a general theory of classical metastability in open quantum systems. Metastability is a consequence of a large separation in timescales in the dynamics, leading to the existence of a regime when states of the system appear…

Statistical Mechanics · Physics 2021-07-20 Katarzyna Macieszczak , Dominic C. Rose , Igor Lesanovsky , Juan P. Garrahan

We analyse the dynamics of metastable Markovian open quantum systems by unravelling their average dynamics into stochastic trajectories. We use quantum reset processes as examples to illustrate metastable phenomenology, including a simple…

Quantum Physics · Physics 2024-04-08 Calum A. Brown , Katarzyna Macieszczak , Robert L. Jack

We apply a recently developed theory for metastability in open quantum systems to a one-dimensional dissipative quantum Ising model. Earlier results suggest this model features either a non-equilibrium phase transition or a smooth but sharp…

Statistical Mechanics · Physics 2016-11-22 Dominic C. Rose , Katarzyna Macieszczak , Igor Lesanovsky , Juan P. Garrahan

In this work, we introduce an information-theoretic approach for considering changes in dynamics of finitely dimensional open quantum systems governed by master equations. This experimentally motivated approach arises from considering how…

Quantum Physics · Physics 2021-05-03 Katarzyna Macieszczak

By generalising concepts from classical stochastic dynamics, we establish the basis for a theory of metastability in Markovian open quantum systems. Partial relaxation into long-lived metastable states - distinct from the asymptotic…

Statistical Mechanics · Physics 2016-06-23 Katarzyna Macieszczak , Madalin Guta , Igor Lesanovsky , Juan P. Garrahan

Many-body and complex systems, both classical and quantum, often exhibit slow, nonlinear relaxation toward stationary states due to the presence of metastable configurations and environmental fluctuations. Nonlinear relaxation in a wide…

Statistical Mechanics · Physics 2026-02-02 Claudio Guarcello , Alexander A. Dubkov , Davide Valenti , Bernardo Spagnolo

We study the transient dynamics subject to quantum coherence effects of two interacting parallel quantum dots weakly coupled to macroscopic leads. The stationary particle current of this quantum system is sensitive to perturbations much…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 Stephanie Matern , Katarzyna Macieszczak , Simon Wozny , Martin Leijnse

L\'evy noise influences diverse non-equilibrium systems across scales, including quantum devices, active biological matter, and financial markets. While such noise is pervasive, its overall impact on activated transitions between metastable…

Statistical Mechanics · Physics 2025-11-25 Shenglan Yuan

Open quantum systems with nearly degenerate energy levels have been shown to exhibit long-lived metastable states in the approach to equilibrium, even when modelled with certain Lindblad-form quantum master equations. This is a result of…

Quantum Physics · Physics 2024-02-16 Matthew Gerry , Michael J. Kewming , Dvira Segal

We explore the effects of spatial locality on the dynamics of random quantum systems subject to a Markovian noise. To this end, we study a model in which the system Hamiltonian and its couplings to the noise are random matrices whose…

Quantum Physics · Physics 2024-01-26 Dror Orgad , Vadim Oganesyan , Sarang Gopalakrishnan

We consider simple stochastic climate models, described by slowly time-dependent Langevin equations. We show that when the noise intensity is not too large, these systems can spend substantial amounts of time in metastable equilibrium,…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Nils Berglund , Barbara Gentz

Non-Gaussian noise influences many complex out-of-equilibrium systems on a wide range of scales such as quantum devices, active and living matter, and financial markets. Despite the ubiquitous nature of non-Gaussian noise, its effect on…

Statistical Mechanics · Physics 2022-09-01 Adrian Baule , Peter Sollich

Metastability is a ubiquitous phenomenon in non-equilibrium physics and classical stochastic dynamics.It arises when the system dynamics settles in long-lived states before eventually decaying to true equilibria. Remarkably, it has been…

Quantum Physics · Physics 2024-12-31 Jun-Xiang Zhang , Yuan-De Jin , Chu-Dan Qiu , Wen-Long Ma , Gang-Qin Liu

Multistability is an inseparable feature of many physical, chemical and biological systems which are driven far from equilibrium. In these nonequilibrium systems, stochastic dynamics often induces switching between distinct states on…

Adaptation and Self-Organizing Systems · Physics 2017-11-01 Guram Gogia , Justin Burton

Quantum fluctuations are inherent in open quantum systems and they affect not only the statistical properties of the initial state but also the time evolution of the system. Using a generic minimal model, we show that quantum noise…

Quantum Gases · Physics 2024-12-17 Richelle Jade L. Tuquero , Jayson G. Cosme

We study the spectral properties of classical and quantum Markovian processes that are reset at random times to a specific configuration or state with a reset rate that is independent of the current state of the system. We demonstrate that…

Statistical Mechanics · Physics 2018-08-28 Dominic C. Rose , Hugo Touchette , Igor Lesanovsky , Juan P. Garrahan

Dynamical phase transitions in the relaxation behavior of stochastic quantum walks are investigated, focusing on systems where coherent unitary evolution is periodically interrupted by dephasing. This interplay leads to a classicalization…

Quantum Physics · Physics 2025-12-01 Stefano Longhi

Multistability of mesoscopic, driven biochemical reaction systems has implications to a wide range of cellular processes. Using several simple models, we show that one class of bistable chemical systems has a deterministic counterpart in…

Chemical Physics · Physics 2010-11-12 Yunxin Zhang , Hao Ge , Hong Qian

Discontinuous quantum phase transitions and the associated metastability play central roles in diverse areas of physics ranging from ferromagnetism to false vacuum decay in the early universe. Using strongly-interacting ultracold atoms in…

Quantum Gases · Physics 2022-04-26 Bo Song , Shovan Dutta , Shaurya Bhave , Jr-Chiun Yu , Edward Carter , Nigel Cooper , Ulrich Schneider
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