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We show that there are two distinct mechanisms that can cause the symmetry-restoration Mpemba effect in spin chains with \textit{weakly broken} integrability, such that the asymptotic equilibration is diffusive, but the lifetime of…

Statistical Mechanics · Physics 2026-03-12 Adam J. McRoberts

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

We study the steady state of a three-level system in contact with a non-equilibrium environment, which is composed of two independent heat baths at different temperatures. We derive a master equation to describe the non-equilibrium process…

Quantum Physics · Physics 2015-06-05 Sheng-Wen Li , C. Y. Cai , C. P. Sun

We study the process of heat transfer through an entangled pair of two-level system, demonstrating the role of quantum correlations in this nonequilibrium process. While quantum correlations generally degrade with increasing the temperature…

Quantum Physics · Physics 2015-05-28 Lian-Ao Wu , Dvira Segal

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

Mpemba effect refers to the counterintuitive effect where a system which is initially further from the final steady state equilibrates faster than an identical system that is initially closer. The closeness to the final state is defined in…

Statistical Mechanics · Physics 2023-03-21 Apurba Biswas , V . V. Prasad , R. Rajesh

We propose a novel approach to engineer the quantum Mpemba effect (QME)-wherein an initial state farther from the steaty state relaxes faster than a closer one-by the Liouvillian skin effect (LSE) in open quantum systems. We show that, in…

Quantum Physics · Physics 2026-01-29 Xiang Zhang , Chen Sun , Fuxiang Li

It was recently shown that entanglement in quantum systems being in a non-equilibrium state can appear at much higher temperatures than in an equilibrium state. However, any system is subject to the natural relaxation process establishing…

Quantum Physics · Physics 2015-06-15 Gregory B. Furman , Victor M. Meerovich , Vladimir L. Sokolovsky

We study the out-of-equilibrium dynamics of entanglement fluctuations in the $\nu=1$ Quantum Symmetric Simple Exclusion Process, a free-fermion chain with hopping amplitudes that are stochastic in time but homogeneous in space. Previous…

Statistical Mechanics · Physics 2026-05-11 Angelo Russotto , Filiberto Ares , Pasquale Calabrese , Vincenzo Alba

Non-equilibrium thermodynamics can provide strong advantages when compared to more standard equilibrium situations. Here, we present a general framework to study its application to concrete problems, which is valid also beyond the…

Quantum Physics · Physics 2023-03-16 Qiongyuan Wu , Matteo Carlesso

One of the manifestations of the quantum Mpemba effect (QME) is that a tilted ferromagnet exhibits faster restoration of the spin-rotational symmetry after a quantum quench when starting from a larger tilt angle. This phenomenon has…

Statistical Mechanics · Physics 2026-03-11 Shion Yamashika , Filiberto Ares

Despite decades of research, the Mpemba Effect challenges scientists, prompting further investigation and refinement of existing hypotheses. This work uses optical tools such as thermography to analyze and study the Mpemba effect on drops.…

We find analytically the complete set of eigenvalues and eigenvectors associated with Metropolis dynamics on a complete graph. As an application, we use this information to study a counter-intuitive relaxation phenomenon, called the Mpemba…

Mathematical Physics · Physics 2019-02-07 Israel Klich , Marija Vucelja

We investigate temperature quenches across the reentrant phase transition of the antiferromagnetic Ising model in a magnetic field and show that the strong direct and inverse Mpemba effects arise when quenches terminate in the paramagnetic…

Statistical Mechanics · Physics 2026-05-01 Kristian Blom , Doron Benyamin , Uwe Thiele , Oren Raz , Aljaz Godec

Motivated by recent experiments in ultracold atomic gases that explore the nonequilibrium dynamics of interacting quantum many-body systems, we investigate the nonequilibrium properties of a Fermi liquid. We apply an interaction quench…

Strongly Correlated Electrons · Physics 2015-05-13 Michael Moeckel , Stefan Kehrein

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

The historical Mpemba effect involves a first-order phase transition. This has prompted the experimental realization of microscopic proxies in the form of a colloidal particle trapped in an asymmetric double well, for which the Mpemba…

Statistical Mechanics · Physics 2026-04-21 Yue Liu , Tan Van Vu , Raphaël Chétrite , Frédéric van Wijland , Hisao Hayakawa

Via molecular dynamics simulations we study ICE formation in the TIP4P/Ice model that is known to describe structure and dynamics in various phases of WATER accurately. For this purpose well equilibrated configurations from different…

Statistical Mechanics · Physics 2024-07-10 Soumik Ghosh , Purnendu Pathak , Sohini Chatterjee , Subir K. Das

The description of thermal or non-equilibrium systems necessitates a quantum field theory which differs from the usual approach in two aspects: 1.The Hilbert space is doubled; 2.Stable quasi-particles do not exist in interacting systems. A…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. A. Henning

In this perspective paper, we look into memory effects in out-of-equilibrium systems. To be concrete, we exemplify memory effects with the paradigmatic case of granular fluids, although extensions to other contexts such as molecular fluids…

Statistical Mechanics · Physics 2023-10-12 A Patrón , B. Sánchez-Rey , C. A. Plata , A. Prados