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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

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'')…

量子物理 · 物理学 2025-10-06 Andrea Nava , Reinhold Egger

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…

量子物理 · 物理学 2024-10-08 Mattia Moroder , Oisín Culhane , Krissia Zawadzki , John Goold

This work explores the emergence of Mpemba-like effects within the quantum theory of lasers. By examining the temporal dynamics of photon number statistics in a single-mode laser above threshold, we reveal the curious and counterintuitive…

量子物理 · 物理学 2025-03-20 Stefano Longhi

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…

统计力学 · 物理学 2023-03-21 Apurba Biswas , V . V. Prasad , R. Rajesh

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…

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

We study the conditions under which a Mpemba-like effect emerges in granular gases of inelastic and rough hard disks driven by a class of thermostats characterized by the splitting of the noise intensity into translational and rotational…

软凝聚态物质 · 物理学 2022-10-12 Alberto Megías , Andrés Santos

We present an exactly solvable model of the Mpemba effect in an overdamped Langevin system confined in a two-dimensional radially symmetric bistable potential. The potential is constructed as a piecewise quadratic-logarithmic function that…

统计力学 · 物理学 2026-04-02 Hisao Hayakawa , Satoshi Takada

A hot Markovian system can cool down faster than a colder one: this is known as the Mpemba effect. Here, we show that a non-equilibrium driving via stochastic reset can induce this phenomenon, when absent. Moreover, we derive an optimal…

统计力学 · 物理学 2021-10-08 Daniel Maria Busiello , Deepak Gupta , Amos Maritan

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…

量子物理 · 物理学 2024-09-17 Amit Kumar Chatterjee , Satoshi Takada , Hisao Hayakawa

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…

统计力学 · 物理学 2024-08-19 Shion Yamashika , Filiberto Ares , Pasquale Calabrese

Recently, a novel probe to study symmetry breaking, known as entanglement asymmetry, has emerged and has been utilized to explore how symmetry is dynamically restored following quantum quenches. Interestingly, it has been shown that, in…

统计力学 · 物理学 2025-03-27 Filiberto Ares , Vittorio Vitale , Sara Murciano

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

We investigate the Mpemba effect in a dilute sheared granular gas with a velocity-dependent restitution coefficient. Using kinetic theory based on Grad's moment method, we analyze the relaxation dynamics following a sudden change in the…

软凝聚态物质 · 物理学 2026-05-19 Makoto R. Kikuchi , Yuria Kobayashi , Satoshi Takada

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…

统计力学 · 物理学 2025-10-29 Pitambar Bagui , Arijit Chatterjee , Bijay Kumar Agarwalla

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…

统计力学 · 物理学 2025-10-29 Filiberto Ares , Colin Rylands , Pasquale Calabrese

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…

量子物理 · 物理学 2026-05-06 Zi-Shen Li , Yuxiang Yang

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.…

流体动力学 · 物理学 2024-09-05 Argelia Balbuena Ortega , Emiliano Hernández-Figueroa , J. Antonio del Río