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The quantum Mpemba effect (QMpE) describes an anomalous thermalization phenomenon in which quantum states initially far from equilibrium can approach thermal equilibrium faster than states that begin closer to it. While this effect has been…

Quantum Physics · Physics 2026-05-06 Zi-Shen Li , Yuxiang Yang

Understanding how macroscopic systems exhibit irreversible thermal behavior has been a long-standing challenge, first brought to prominence by Boltzmann. Recent advances have established rigorous conditions for isolated quantum systems to…

Quantum Physics · Physics 2025-04-10 M. R. Passos , Thiago R. de Oliveira

We consider nonequilibrium time evolution in quantum spin chains after a global quench. Usually a nonequilibium quantum many-body system locally relaxes to a (generalised) Gibbs ensemble built from conserved operators with quasilocal…

Statistical Mechanics · Physics 2024-03-13 Maurizio Fagotti , Vanja Marić , Lenart Zadnik

The Mpemba effect occurs when a system prepared at a hot temperature cools down faster to the bath temperature than an identical system starting at a warm temperature. We derive the condition for the Mpemba effect in the small-diffusion…

Statistical Mechanics · Physics 2023-05-31 Matthew R. Walker , Marija Vucelja

Quantum Mpemba effect describes an anomalous phenomenon of accelerated relaxation which is of fundamental interest in the field of nonequilibrium thermodynamics. Conventional theories on this phenomenon strongly rely on the Born-Markovian…

Quantum Physics · Physics 2026-03-23 Ze-Zhou Zhang , Hong-Gang Luo , Wei Wu

We consider time-dependent relaxation of observables in quantum systems of chaotic and regular type. We show that the spread of the wave function in the Hilbert space is determined by the survival probability which is known to have…

Quantum Physics · Physics 2019-05-29 Alexander Volya , Vladimir Zelevinsky

The quantum Pontus-Mpemba effect is a counterintuitive phenomenon in which a quantum system relaxes faster through a two-step evolution protocol than through a single, unquenched relaxation. This work proposes its realization in cavity…

Quantum Physics · Physics 2026-05-08 Stefano Longhi

Precise understanding of the dynamics of trapped particles is crucial for nascent quantum technologies, including atomic clocks and quantum simulators. Here we present a framework to systematically include quantum effects arising from the…

Quantum Physics · Physics 2019-06-11 Rebecca Haustein , Gerard J. Milburn , Magdalena Zych

We investigate quench dynamics in a one-dimensional spin model, comparing both quantum and classical descriptions. Our primary focus is on the different timescales involved in the evolution of the observables as they approach statistical…

Statistical Mechanics · Physics 2024-11-21 Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos

We consider open quantum systems whose dynamics is governed by a time-independent Markovian Lindblad Master equation. Such systems approach their stationary state on a timescale that is determined by the spectral gap of the generator of the…

Quantum Physics · Physics 2022-07-27 Simon Kochsiek , Federico Carollo , Igor Lesanovsky

The relaxation of uniform quantum systems with finite-range interactions after a quench is generically driven by the ballistic propagation of long-lived quasi-particle excitations triggered by a sufficiently small quench. Here we…

Quantum Gases · Physics 2018-02-07 Irénée Frérot , Piero Naldesi , Tommaso Roscilde

Random fluctuations caused by environmental noise can lead to decoherence in quantum systems. Exploring and controlling such dissipative processes is both fundamentally intriguing and essential for harnessing quantum systems to gain…

Despite being ubiquitous, out-of-equilibrium quantum systems are much less understood than systems at equilibrium. Progress in the field has benefited from a symbiotic relationship between theoretical studies and new experiments on coherent…

Statistical Mechanics · Physics 2016-11-03 Marco Távora , E. J. Torres-Herrera , Lea F. Santos

The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or…

Statistical Mechanics · Physics 2024-12-13 Konstantinos Chalas , Pasquale Calabrese , Colin Rylands

We investigate equilibration and generalized thermalization of the quantum Harmonic chain under local quantum quench. The quench action we consider is connecting two disjoint harmonic chains of different sizes and the system jumps between…

Quantum Physics · Physics 2018-01-31 Sushruth Muralidharan , Kinjalk Lochan , S. Shankaranarayanan

Loosely speaking, the Mpemba effect appears when hotter systems cool sooner or, in a more abstract way, when systems further from equilibrium relax faster. In this paper, we investigate the Mpemba effect in a molecular gas with nonlinear…

Soft Condensed Matter · Physics 2022-05-31 Alberto Megías , Andrés Santos , Antonio Prados

After a sudden disruption, weakly interacting quantum systems first relax to a prethermalized state that can be described by perturbation theory and a generalized Gibbs ensemble. Using these properties of the prethermalized state we…

Strongly Correlated Electrons · Physics 2013-08-27 Michael Stark , Marcus Kollar

We solve the nonequilibrium dynamics of qubits or quantum spin chains (s=1/2) modeled by an anisotropic XY Hamiltonian, when the initial condition is prepared as a spatially inhomogeneous state of the magnetization. Infinite systems are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Tygel , J. G. Carvalho , G. G. Cabrera

The Mpemba effect and its inverse can be understood as a result of nonequilibrium thermodynamics. In polymers, changes of state are generally non-equilibrium processes. However, the Mpemba effect has been rarely reported in the…

Soft Condensed Matter · Physics 2023-04-28 Jinghua Liu , Jingqing Li , Binyuan Liu , Ian W. Hamley , Shichun Jiang

The generalized Gibbs ensemble introduced for describing few body correlations in exactly solvable systems following a quantum quench is related to the nonergodic way in which operators sample, in the limit of infinite time after the…

Statistical Mechanics · Physics 2012-02-13 Miguel A. Cazalilla , A. Iucci , Ming-Chiang Chung