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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

The quantum Mpemba effect is the counter-intuitive non-equilibrium phenomenon wherein the dynamic restoration of a broken symmetry occurs more rapidly when the initial state exhibits a higher degree of symmetry breaking. The effect has been…

Statistical Mechanics · Physics 2024-08-19 Shion Yamashika , Filiberto Ares , Pasquale Calabrese

Most of our intuition about the behavior of physical systems is shaped by observations at or near thermal equilibrium. However, even a thermal quench can lead to states far from thermal equilibrium, where counterintuitive, anomalous effects…

Statistical Mechanics · Physics 2025-12-11 Gianluca Teza , John Bechhoefer , Antonio Lasanta , Oren Raz , Marija Vucelja

Coherence is an inherently quantum property that deeply affects microscopic processes, including thermalization phenomena. A striking example is the quantum Mpemba effect (QME), in which a system can exhibit anomalous relaxation,…

We investigate relaxation-order inversion, known as the quantum Mpemba effect (QME), in a minimal open many-body system called a one-dimensional four-site Bose--Hubbard chain governed by Lindblad dynamics with local number dephasing.…

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 study the non-equilibrium dynamics of bosons in a two-dimensional optical lattice after a sudden quench from the superfluid phase to the free-boson regime. The initial superfluid state is described approximately using both the Bogoliubov…

Statistical Mechanics · Physics 2025-09-10 Shion Yamashika , Pasquale Calabrese , Filiberto Ares

The name "Mpemba effect" was given to the finding that "If two systems are cooled, the water that starts hotter may freeze first", confirmed by numerous of observations. Now this paradoxical state-ment obtained a more general form "the…

Chemical Physics · Physics 2025-03-31 Alexei V. Finkelstein

Mpemba effects (MPEs), where a hotter system cools faster than a colder one, present intriguing anomalies in relaxation processes. Despite their universal observation and significant fundamental and practical implications, a comprehensive…

Statistical Mechanics · Physics 2024-10-22 Naruo Ohga , Hisao Hayakawa , Sosuke Ito

Non-equilibrium dynamics in non-Hermitian systems has attracted significant interest, particularly due to the skin effect and its associated anomalous phenomena. Previous studies have primarily focused on initial states with a definite…

Quantum Physics · Physics 2025-11-05 Sibo Guo , Shuai Yin , Shi-Xin Zhang , Zi-Xiang Li

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

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

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…

Non-equilibrium dynamics of quantum many-body systems has attracted increasing attention owing to a variety of intriguing phenomena absent in equilibrium physics. A prominent example is the quantum Mpemba effect, where subsystem symmetry is…

Disordered Systems and Neural Networks · Physics 2026-01-09 Shuo Liu , Hao-Kai Zhang , Shuai Yin , Shi-Xin Zhang , Hong Yao

Ergodicity-breaking and slow relaxation are intriguing aspects of nonequilibrium dynamics both in classical and in quantum settings. These phenomena are typically associated with phase transitions, e.g. the emergence of metastable regimes…

Quantum Physics · Physics 2021-08-11 Federico Carollo , Antonio Lasanta , Igor Lesanovsky

The quantum Mpemba effect is a counterintuitive phenomenon in which a state initially farther from equilibrium relaxes more rapidly than one that starts nearer to equilibrium. In the context of finite-dimensional quantum batteries…

Quantum Physics · Physics 2026-02-26 Triyas Sapui , Tanoy Kanti Konar , Aditi Sen De

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

The Mpemba effect originally referred to the observation that, under certain thermalizing dynamics, initially hotter samples can cool faster than colder ones. This effect has since been generalized to other anomalous relaxation behaviors…

We study the Mpemba effect on a non-equilibrium Markov chain that mimics the run and tumble motion of an active particle in a discrete energy landscape. The broken detailed balance, rendered by the activity, gives rise to a unique anomalous…

Statistical Mechanics · Physics 2025-05-28 Apurba Biswas , Arnab Pal

We investigate the quantum Mpemba effect in a dissipative Dicke model, which consists of a spin-1/2 ensemble coupled to a bosonic mode, which in turn is coupled to a bosonic bath. We derive a sufficient criterion for occurrence of the…

Quantum Physics · Physics 2026-01-01 Arunabha Das , Paranjoy Chaki , Priya Ghosh , Ujjwal Sen