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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 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…

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

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

The Mpemba effect (a counterintuitive thermal relaxation process where an initially hotter system may cool down to the steady state sooner than an initially colder system) is studied in terms of a model of inertial suspensions under shear.…

Statistical Mechanics · Physics 2021-03-10 Satoshi Takada , Hisao Hayakawa , Andrés Santos

The quantum Mpemba effect (ME) in Markovian systems is conventionally explained by a smaller overlap between the initial state and the slowest decay mode (SDM). Such state, initially farther away from equilibrium or steady state, relaxes…

The Mpemba effect refers to the surprising observation where, under certain conditions, a far-from-equilibrium state can relax toward equilibrium faster than a state closer to equilibrium. A paradigmatic example is provided by the curious…

Quantum Physics · Physics 2025-03-25 Stefano Longhi

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

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

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

The so-called Mpemba effect, i.e. the observation that the warmer of two otherwise identical systems cools faster when both are refrigerated in the same thermal reservoir, is a hotly debated topic in condensed mater physics and statistical…

Materials Science · Physics 2019-09-11 A. Gijón , A. Lasanta , E. R. Hernández

The traditional Mpemba effect refers to an anomalous cooling phenomenon when an initial hotter system cools down faster than an initial warm system. Such counterintuitive behavior has been confirmed and explored across phase transitions in…

Soft Condensed Matter · Physics 2026-02-05 Alexander P. Antonov , Hartmut Löwen

The Mpemba effect is a counterintuitive physical phenomenon where a hot system cools faster than a warm one. In recent years, theoretical analyses of the Mpemba effect have been developed for microscopic systems and experimentally verified.…

Statistical Mechanics · Physics 2025-03-12 Tan Van Vu , Hisao Hayakawa

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…

Quantum Physics · Physics 2025-07-04 Ivan Medina , Oisín Culhane , Felix C. Binder , Gabriel T. Landi , John Goold

We study the local relaxation of closed quantum systems through the relative entropy between the reduced density matrix and its long time limit. We show, using analytic arguments combined with numerical checks, that this relative entropy…

Statistical Mechanics · Physics 2025-10-29 Filiberto Ares , Colin Rylands , Pasquale Calabrese

We investigate the quantum Mpemba effect from the perspective of non-equilibrium quantum thermodynamics by studying relaxation dynamics of quantum systems coupled to a Markovian heat bath, which are described by Davies maps. Starting from a…

Quantum Physics · Physics 2024-10-08 Mattia Moroder , Oisín Culhane , Krissia Zawadzki , John Goold

Closed chaotic quantum systems relax after a quench into a Gibbs ensemble. At late times, the relaxation speed is determined by their conservation laws and hydrodynamics. As a result, there exist pairs of initial states which thermalize to…

Quantum Physics · Physics 2026-04-28 Thomas Martin Müller , Silvia Pappalardi , Rosario Fazio

Slow relaxation processes spanning widely separated timescales pose fundamental challenges for probing steady-state properties and engineering functional quantum systems, such as quantum heat engines and quantum computing devices. We…

Quantum Physics · Physics 2025-10-20 Ruicheng Bao , Zhonghuai Hou

The Mpemba effect, in which a hotter system cools faster than a colder one, remains one of the most intriguing anomalies in thermodynamics. Here, we investigate its microscopic origin within the framework of quantum resource theories and…

Quantum Physics · Physics 2026-04-17 Doruk Can Alyürük , Mahir H. Yeşiller , Vlatko Vedral , Onur Pusuluk

We explore the role of exceptional points and complex eigenvalues on the occurrence of the quantum Mpemba effect. To this end, we study a two-level driven dissipative system subjected to an oscillatory electric field and dissipative…

Quantum Physics · Physics 2024-09-17 Amit Kumar Chatterjee , Satoshi Takada , Hisao Hayakawa