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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.…

统计力学 · 物理学 2021-03-10 Satoshi Takada , Hisao Hayakawa , Andrés Santos

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

The fact that macroscopic systems approach thermal equilibrium may seem puzzling, for example, because it may seem to conflict with the time-reversibility of the microscopic dynamics. We here prove that in a macroscopic quantum system for a…

统计力学 · 物理学 2015-06-18 Sheldon Goldstein , Takashi Hara , Hal Tasaki

We study the emergence over time of a universal, uniform distribution of quantum states supported on a finite subsystem, induced by projectively measuring the rest of the system. Dubbed deep thermalization, this phenomenon represents a form…

量子物理 · 物理学 2023-01-04 Matteo Ippoliti , Wen Wei Ho

We explore the role of the initial state on the onset of thermalization in isolated quantum many-body systems after a quench. The initial state is an eigenstate of an initial Hamiltonian $\hat{H}_I$ and it evolves according to a different…

统计力学 · 物理学 2013-10-16 E. J. Torres-Herrera , Lea F. Santos

We consider the reduced dynamics in a bipartite quantum system (consisting of a central system and an intermediate environment) coupled to a heat bath at finite temperature. To describe this situation, in the simplest possible -- yet…

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

Quantum systems typically reach thermal equilibrium rather quickly when coupled to a thermal environment. The usual way of bounding the speed of this process is by estimating the spectral gap of the dissipative generator. However the gap,…

量子物理 · 物理学 2026-01-08 Jan Kochanowski , Alvaro M. Alhambra , Angela Capel , Cambyse Rouzé

We study thermalization in many-body quantum systems locally coupled to an external bath. It is shown that quantum chaotic systems do thermalize, that is, they exhibit relaxation to an invariant ergodic state which, in the bulk, is well…

量子物理 · 物理学 2010-05-31 Marko Znidaric , Tomaz Prosen , Giuliano Benenti , Giulio Casati , Davide Rossini

The Mpemba effect is a thermodynamic anomaly in which a system farther away in temperature from equilibrium thermalizes before one that is initially closer. The effect has been experimentally observed across a wide range of systems,…

统计力学 · 物理学 2026-03-06 Ido Avitan , Roee Factor , David Gelbwaser-Klimovsky

Non-equilibrium time evolution in isolated many-body quantum systems generally results in thermalization. However, the relaxation process can be very slow, and quasi-stationary non-thermal plateaux are often observed at intermediate times.…

统计力学 · 物理学 2017-07-06 Vincenzo Alba , Maurizio Fagotti

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…

材料科学 · 物理学 2019-09-11 A. Gijón , A. Lasanta , E. R. Hernández

The phenomenon of Hilbert space fragmentation, whereby dynamical constraints fragment Hilbert space into many disconnected sectors, provides a simple mechanism by which thermalization can be arrested. However, little is known about how…

量子物理 · 物理学 2026-04-06 Yiqiu Han , Xiao Chen , Ethan Lake

We explore the effects of frequent, impulsive quantum nondemolition measurements of the energy of two-level systems (TLS), alias qubits, in contact with a thermal bath. The resulting entropy and temperature of both the system and the bath…

Significant attention has been devoted to the problem of thermalization of observables in isolated quantum setups by individual eigenstates. Here, we address this issue from an open quantum system perspective, examining an isolated setup…

量子物理 · 物理学 2025-01-15 Krzysztof Ptaszynski , Massimiliano Esposito

We study the non-Markovian dynamics of a qubit made up of a two-level atom interacting with an electromagnetic field (EMF) initially at finite temperature. Unlike most earlier studies where the bath is assumed to be fixed, we study the…

量子物理 · 物理学 2009-11-10 S. Shresta , C. Anastopoulos , A. Dragulescu , B. L. Hu

There is presently considerable interest in accurately simulating the evolution of open systems for which Markovian master equations fail. Examples are systems that are time-dependent and/or strongly damped. A number of elegant methods have…

量子物理 · 物理学 2014-04-23 Luciano Silvestri , Kurt Jacobs , Vanja Dunjko , Maxim Olshanii

An exact stochastic model for the thermalisation of quantum states is proposed. The model has various physically appealing properties. The dynamics are characterised by an underlying Schrodinger evolution, together with a nonlinear term…

量子物理 · 物理学 2009-10-30 D. C. Brody , L. P. Hughston

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…

软凝聚态物质 · 物理学 2026-02-05 Alexander P. Antonov , Hartmut Löwen

Markovian master equations (formally known as quantum dynamical semigroups) can be used to describe the evolution of a quantum state $\rho$ when in contact with a memoryless thermal bath. This approach has had much success in describing the…

量子物理 · 物理学 2017-08-18 Álvaro M. Alhambra , Mischa P. Woods