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The Mpemba and Kovacs effects are two notable memory phenomena observed in nonequilibrium relaxation processes. In a recent study [Phys.~Rev.~E \textbf{109}, 044149 (2024)], these effects were analyzed within the framework of the…

Statistical Mechanics · Physics 2025-05-13 Andrés Santos

We consider the thermal relaxation of a particle in a piecewise-constant potential landscape subject to thermal fluctuations in the overdamped limit. We study the connection between the occurrence of the Mpemba effect, the presence of…

Statistical Mechanics · Physics 2021-12-08 Matthew Walker , Marija Vucelja

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

The Mpemba effect is a thermodynamic anomaly in which a system farther away in temperature from equilibrium thermalizes before one that is initially closer. The effect has been experimentally observed across a wide range of systems,…

Statistical Mechanics · Physics 2026-03-06 Ido Avitan , Roee Factor , David Gelbwaser-Klimovsky

Under certain conditions, it takes a shorter time to cool a hot system than to cool the same system initiated at a lower temperature. This phenomenon - the "Mpemba Effect" - is well known in water, and has recently been observed in other…

Statistical Mechanics · Physics 2017-09-28 Zhiyue Lu , Oren Raz

We propose using the dynamical invariant also known as the Lewis-Riesenfeld invariant, to speed-up the equilibration of a driven open quantum system. This allows us to reverse engineer the time-dependent master equation that describes the…

Quantum Physics · Physics 2025-03-14 Mohamed Boubakour , Shimpei Endo , Thomás Fogarty , Thomas Busch

As the temperature of a cooling object decreases as it relaxes to thermal equilibrium, it is intuitively assumed that a hot object should take longer to cool than a warm one. Yet, some 2,300 years ago, Aristotle observed that "to cool hot…

Statistical Mechanics · Physics 2020-08-07 Avinash Kumar , John Bechhoefer

The Mpemba effect describes the phenomenon that a system at a hot initial temperature cools faster than at an initial warm temperature in the same environment. Such an anomalous cooling has recently been predicted and realized for trapped…

Soft Condensed Matter · Physics 2024-06-28 Isha Malhotra , Hartmut Löwen

The "Mpemba effect" is the name given to the assertion that hot water freezes quicker than cold water1 or, in a modern and more general form, that the system that is initially more distant from its equilibrium state comes to this state…

Chemical Physics · Physics 2025-08-08 Andrei A. Klimov , Alexei V. Finkelstein

The interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort. Here we introduce a setting where these questions can be characterised…

Statistical Mechanics · Physics 2025-02-07 Alessandro Foligno , Pasquale Calabrese , Bruno Bertini

The ability to isolate a quantum system from its environment is of fundamental interest and importance in optical quantum science and technology. Here we propose an experimentally feasible scheme for beating environment-induced dissipation…

Quantum Physics · Physics 2024-07-15 Yi-Ming Xia , Yi-Fei Wang , Xiao-Yun Zhang , Hai-Chao Li , Wei Xiong

We provide an overview of our numerical and analytical studies of isolated interacting quantum systems that are quenched out of equilibrium instantaneously. We describe the relaxation process to a new equilibrium and obtain lower bounds for…

Statistical Mechanics · Physics 2016-04-04 E. J. Torres-Herrera , Davida Kollmar , Lea F. Santos

A fundamental problem in experiments with open quantum systems is to ensure steady-state convergence within a given operational time window. Here, we devise a general state preparation recipe to control relaxation timescales and achieve…

Quantum Physics · Physics 2026-03-02 Nicolò Beato , Gianluca Teza

Entanglement asymmetry, which serves as a diagnostic tool for symmetry breaking and a proxy for thermalization, has recently been proposed and studied in the context of symmetry restoration for quantum many-body systems undergoing a quench.…

Quantum Physics · Physics 2024-11-11 Shuo Liu , Hao-Kai Zhang , Shuai Yin , Shi-Xin Zhang

Usually one finds that dissipation tends to make a quantum system more classical in nature. In this paper we study the effect of momentum dissipation on a quantum system. The momentum of the particle is coupled bilinearly to the momenta of…

Statistical Mechanics · Physics 2007-05-23 Joachim Ankerhold , Eli Pollak

The Mpemba effect describes the situation in which a hot system cools faster than an identical copy that is initiated at a colder temperature. In many of the experimental observations of the effect, e.g. in water and clathrate hydrates, it…

Statistical Mechanics · Physics 2023-05-23 Roi Holtzman , Oren Raz

Inspired by responses to the work (arXiv:1310.6514), we solved the one-dimensional, nonlinear Fourier initial and boundary condition problem using the finite element method. Examination of all possible parameters reveals the following: 1.…

Chemical Physics · Physics 2015-01-16 Xi Zhang , Yongli Huang , Zengsheng Ma , Chang Q Sun

We propose a time-delayed feedback control scheme for open quantum systems that can dramatically reduce the time to reach steady state. No measurement is performed in the feedback loop, and we suggest a simple all-optical implementation for…

Quantum Physics · Physics 2014-08-27 A L Grimsmo , A S Parkins , B-S Skagerstam

Normally, quantum fluctuations enhance the escape from metastable states in the presence of dissipation. Here we show that dissipation can enhance the stability of a quantum metastable system, consisting of a particle moving in a strongly…

Quantum Physics · Physics 2018-04-10 D. Valenti , L. Magazzù , P. Caldara , B. Spagnolo

We investigate the out-of-equilibrium dynamics after a quantum quench of the reduced fidelities between the states of a subregion $A$ at different times. Precisely, we consider the fidelity between the time-dependent state of $A$ and its…

Statistical Mechanics · Physics 2026-01-27 Gilles Parez , Vincenzo Alba