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The phenomenon where a quantum system can be exponentially accelerated to its stationary state has been referred to as the Quantum Mpemba Effect (QMpE). Due to its analogy with the classical Mpemba effect, hot water freezes faster than cold…

Quantum Physics · Physics 2025-07-23 J. Furtado , Alan C. Santos

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…

Quantum Physics · Physics 2025-09-30 Tanmay Bhore , Lei Su , Ivar Martin , Aashish A. Clerk , Zlatko Papić

In classical thermodynamics, the Mpemba effect refers to the counterintuitive observation that hot water can freeze faster than cold water, manifesting as an anomalous crossing of dynamical trajectories. While analogues of this phenomenon…

Quantum Physics · Physics 2026-05-25 Zhilong Liu , Zehua Tian , Jieci Wang

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

Mpemba effects occur after a sudden quench of control parameters if for ''far'' (or ''hot'') initial states with respect to a final target state, the relaxation time toward the target state is shorter than for ''close'' (or ''cold'')…

Quantum Physics · Physics 2025-10-06 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…

Quantum Physics · Physics 2026-05-01 Marco Peluso , Reinhold Egger , Andrea Nava

We investigate the direct and inverse Mpemba effects within the framework of the time-delayed Newton's law of cooling by introducing and analyzing the Descartes protocol, a three-reservoir thermal scheme in which each sample undergoes a…

Statistical Mechanics · Physics 2026-04-09 Andrés Santos

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

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…

The Mpemba effect has initially been noticed in macroscopic systems -- namely that hot water can freeze faster than cold water -- but recently its extension to open quantum systems has attracted significant attention. This phenomenon can be…

Mesoscale and Nanoscale Physics · Physics 2025-04-08 Juliane Graf , Janine Splettstoesser , Juliette Monsel

Quantum Mpemba effect occurs when a quantum system, residing far away from the steady state, relaxes faster than a relatively nearer state. We look for the presence of this highly counterintuitive effect in the relaxation dynamics of the…

Statistical Mechanics · Physics 2025-10-29 Pitambar Bagui , Arijit Chatterjee , Bijay Kumar Agarwalla

When a hot system cools down faster than an equivalent cold one, it exhibits the Mpemba Effect. This counterintuitive phenomenon was observed in several systems including water, magnetic alloys and polymers. In most experiments the system…

Statistical Mechanics · Physics 2023-07-07 Gianluca Teza , Ran Yaacoby , Oren Raz

We consider the inelastic Maxwell model, which consists of a collection of particles that are characterized by only their velocities, and evolving through binary collisions and external driving. At any instant, a particle is equally likely…

Statistical Mechanics · Physics 2015-07-23 V. V. Prasad , Sanjib Sabhapandit , Abhishek Dhar

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 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…

Statistical Mechanics · Physics 2023-08-25 Amit Kumar Chatterjee , Satoshi Takada , Hisao Hayakawa

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

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…

Strongly Correlated Electrons · Physics 2026-03-13 Wei-Xuan Chang , Shuai Yin , Shi-Xin Zhang , Zi-Xiang Li

The Quantum Mpemba Effect (QME) is the quantum counterpart of the classical Mpemba effect--a counterintuitive phenomenon in which a system initially at a higher temperature relax to thermal eauilibrium faster than one at a lower…

Quantum Physics · Physics 2025-09-12 Zijun Wei , Mingdi Xu , Xiang-Ping Jiang , Haiping Hu , Lei Pan

A system initially far from equilibrium is expected to take more time to reach equilibrium than a system that was initially closer to equilibrium. The old puzzling observation (also called Mpemba effect) that when a sample of hot water and…

Statistical Mechanics · Physics 2010-11-18 P. Chaddah , S. Dash , Kranti Kumar , A. Banerjee

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