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Various exotic phenomena emerge in non-equilibrium quantum many-body systems. The Mpemba effect, denoting the situation where a hot system freezes faster than the colder one, is a counterintuitive non-equilibrium phenomenon that has…

强关联电子 · 物理学 2026-03-13 Wei-Xuan Chang , Shuai Yin , Shi-Xin Zhang , Zi-Xiang Li

In this work we suggest a simple theoretical solution of the Mpemba effect in full agreement with known experimental data. This solution follows simply as an especial approximation (linearization) of the usual heat (transfer) equation,…

综合物理 · 物理学 2012-12-12 Vladan Pankovic , Darko V. Kapor

The quantum Mpemba effect refers to the phenomenon of a quantum system in an initial state, far away from equilibrium, relaxing much faster than a state comparatively nearer to equilibrium. We experimentally demonstrate that this highly…

量子物理 · 物理学 2025-09-18 Arijit Chatterjee , Sakil Khan , Sachin Jain , T S Mahesh

We demonstrate the quantum Mpemba effect in a quantum dot coupled to two reservoirs, described by the Anderson model. We show that the system temperatures starting from two different initial values (hot and cold), cross each other at finite…

统计力学 · 物理学 2023-08-25 Amit Kumar Chatterjee , Satoshi Takada , Hisao Hayakawa

Many systems, when initially placed far from equilibrium, exhibit surprising behavior in their attempt to equilibrate. Striking examples are the Mpemba effect and the cooling-heating asymmetry. These anomalous behaviors can be exploited to…

We generalize the classical thermal Mpemba effect (where an initially hot system relaxes faster to the final equilibrium state than a cold one) to open quantum systems coupled to several reservoirs. We show that, in general, two different…

统计力学 · 物理学 2024-10-07 Andrea Nava , Reinhold Egger

The classical Mpemba effect is the counterintuitive phenomenon where hotter water freezes faster than colder water due to the breakdown of Newton's law of cooling after a sudden temperature quench. The genuine nonequilibrium post-quench…

量子物理 · 物理学 2026-05-01 Marco Peluso , Reinhold Egger , Andrea Nava

According to conventional wisdom, a system placed in an environment with a different temperature tends to relax to the temperature of the latter, mediated by the flows of heat and/or matter that are set solely by the temperature difference.…

统计力学 · 物理学 2024-03-18 Miguel Ibáñez , Cai Dieball , Antonio Lasanta , Aljaž Godec , Raúl A. Rica

The Mpemba effect refers to the anomalous relaxation of a quantum state that, despite being initially farther from equilibrium, relaxes faster than a closer counterpart. Detecting such a quantum Mpemba effect typically requires full…

统计力学 · 物理学 2025-12-03 Pitambar Bagui , Arijit Chatterjee , Bijay Kumar Agarwalla

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…

统计力学 · 物理学 2025-05-13 Andrés Santos

The Mpemba effect is a phenomenon in which an initially hotter sample cools sooner. In this paper, we show the emergence of a non-monotonic Mpemba-like effect in a molecular binary mixture immersed in a viscous gas. Namely, a crossover in…

软凝聚态物质 · 物理学 2021-06-10 Rubén Gómez González , Vicente Garzó

The quantum Mpemba effect is a phenomenon characterized by an exponential relaxation from a non-equililbrium state to a steady state. This effect was predicted with an analysis of the Liouvillian superoperator and experimentally…

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…

软凝聚态物质 · 物理学 2022-05-31 Alberto Megías , Andrés Santos , Antonio Prados

The Mpemba effect, where a system initially farther from equilibrium relaxes faster than one closer to equilibrium, has been extensively studied in classical systems and recently explored in quantum settings. While previous studies of the…

量子物理 · 物理学 2025-09-30 Tanmay Bhore , Lei Su , Ivar Martin , Aashish A. Clerk , Zlatko Papić

Anomalous thermal relaxation is ubiquitous in nonequilibrium statistical mechanics. An emblematic example of this is the Mpemba effect, where an initially ``hot'' system cools faster than an initially ``cooler'' one. This effect has…

量子物理 · 物理学 2025-07-04 Ivan Medina , Oisín Culhane , Felix C. Binder , Gabriel T. Landi , John Goold

When a cup of hot coffee is suddenly put into a cold environment, it cools down as a function of time $t$ until the internal temperature $T_\text{int}$ of the coffee equals the external ambient temperature $T_\text{ext}$. This instantaneous…

统计力学 · 物理学 2026-04-14 Hartmut Löwen

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…

软凝聚态物质 · 物理学 2023-04-28 Jinghua Liu , Jingqing Li , Binyuan Liu , Ian W. Hamley , Shichun Jiang

The Mpemba effect, where a state farther from equilibrium relaxes faster than one closer to it, is a striking phenomenon in both classical and quantum systems. In open quantum systems, however, the quantum Mpemba effect (QME) typically…

量子物理 · 物理学 2025-11-07 Yaru Liu , Yucheng Wang

The Mpemba effect, broadly understood as the counterintuitive phenomenon in which a system initially farther from equilibrium relaxes faster than a system closer to equilibrium, has been widely studied in classical stochastic systems and,…

量子气体 · 物理学 2026-04-08 Sumita Datta

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…

数学物理 · 物理学 2019-02-07 Israel Klich , Marija Vucelja