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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…

量子物理 · 物理学 2026-04-28 Thomas Martin Müller , Silvia Pappalardi , Rosario Fazio

Despite extensive research, the fundamental physical mechanisms underlying the Mpemba effect, a phenomenon where a substance cools faster after initially being heated, remain elusive. Although historically linked with water, the Mpemba…

软凝聚态物质 · 物理学 2024-04-26 Andrés Santos

The Mpemba effect, an example of anomalous thermal relaxations, occurs when a system prepared at a hot temperature overtakes an identical system prepared at a warm temperature and cools down faster to the environment's temperature. We study…

统计力学 · 物理学 2023-08-10 Saikat Bera , Matthew R. Walker , Marija Vucelja

The Mpemba effect is a counter-intuitive phenomena in which a hot system reaches a cold temperature faster than a colder system, under otherwise identical conditions. Here we propose a quantum analog of the Mpemba effect, on the simplest…

It is commonly assumed that a large system, weakly coupled to a thermal environment through its boundaries, relaxes quasistatically towards the new equilibrium even when the temperature of the environment changes abruptly. Here we show how…

统计力学 · 物理学 2024-11-21 Ran Yaacoby , Oren Raz , Gianluca Teza

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…

统计力学 · 物理学 2025-12-11 Gianluca Teza , John Bechhoefer , Antonio Lasanta , Oren Raz , Marija Vucelja

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…

量子物理 · 物理学 2025-03-25 Stefano Longhi

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 counterintuitive Mpemba effect, wherein a hotter system cools faster, critically lacks a general macroscopic theory. Here, starting from linear irreversible thermodynamics, we formulate a generalized Newton's cooling law,…

统计力学 · 物理学 2026-05-21 Yun-Qian Lin , Z. C. Tu , Yu-Han Ma

The Mpemba effect, where a hotter system cools faster than a colder one under otherwise identical conditions, has been extensively studied in classical systems. In this work, we present the quantum analogue of the Mpemba effect using a…

量子物理 · 物理学 2025-11-24 Xingli Li , Yan Li , Yangqian Yan

Mpemba effect refers to the counterintuitive phenomenon of a hotter system equilibrating faster than a colder system when both are quenched to the same low temperature. For a Brownian particle trapped in a piece-wise linear single well…

统计力学 · 物理学 2023-05-12 Apurba Biswas , R. Rajesh

The phenomenon that a system at a hot temperature cools faster than at a warm temperature, referred to as the Mpemba effect, has been recently realized for trapped colloids. Here, we investigate the cooling and heating process of a…

软凝聚态物质 · 物理学 2022-10-05 Fabian Jan Schwarzendahl , Hartmut Löwen

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 inverse Mpemba effect is a counterintuitive phenomenon in which a system, initially in thermal equilibrium and prepared at different temperatures below that of the final equilibrium state, relaxes to the final state more rapidly when…

统计力学 · 物理学 2025-07-08 Koudai Sugimoto , Tomotaka Kuwahara , Keiji Saito

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

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…

统计力学 · 物理学 2021-12-08 Matthew Walker , Marija Vucelja

The Mpemba effect denotes an anomalous relaxation phenomenon where a system initially at a hot temperature cools faster than a system that starts at a less elevated temperature. We introduce an isothermal analog of this effect for a system…

统计力学 · 物理学 2022-09-02 Julius Degünther , Udo Seifert

The Mpemba effect occurs when a system prepared at a hot temperature cools down faster to the bath temperature than an identical system starting at a warm temperature. We derive the condition for the Mpemba effect in the small-diffusion…

统计力学 · 物理学 2023-05-31 Matthew R. Walker , Marija Vucelja

The Mpemba effect was originally referred to as the faster icing of a higher-temperature system than a lower-temperature system, and was later generalized to anomalous decays of both classical and quantum observables to equilibrium states.…

量子物理 · 物理学 2024-10-15 Xuanhua Wang , Jin Wang

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