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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 identify and study classes of initial states in integrable quantum systems that, after the relaxation dynamics following a sudden quench, lead to near-thermal expectation values of few-body observables. In the systems considered here,…

统计力学 · 物理学 2011-09-28 Marcos Rigol , Mattias Fitzpatrick

We consider the effective behaviour of a rate-independent process when it is placed in contact with a heat bath. The method used to "thermalize" the process is an interior-point entropic regularization of the Moreau--Yosida incremental…

概率论 · 数学 2016-05-20 T. J. Sullivan , M. Koslowski , F. Theil , M. Ortiz

We study the internal dynamics of an elementary quantum system placed close to a body held at a temperature different from that of the surrounding radiation. We derive general expressions for lifetime and density matrix valid for bodies of…

量子物理 · 物理学 2015-03-20 Bruno Bellomo , Riccardo Messina , Mauro Antezza

The metrological limits of thermometry operated in nonequilibrium dynamical regimes are analyzed. We consider a finite-dimensional quantum system, employed as a quantum thermometer, in contact with a thermal bath inducing Markovian…

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,…

It is expected that a generic closed many-body system prepared in a well-behaved initial state and subjected to a periodic drive will eventually thermalize, i.e. approach the state of maximal entropy. This property, while compatible with…

统计力学 · 物理学 2026-03-17 Anton Kapustin

The standard dynamical approach to quantum thermodynamics is based on Markovian master equations describing the thermalization of a system weakly coupled to a large environment, and on tools such as entropy production relations. Here we…

量子物理 · 物理学 2022-08-08 Matteo Lostaglio , Kamil Korzekwa

Deriving conditions under which a macroscopic system thermalizes directly from the underlying quantum many-body dynamics of its microscopic constituents is a long-standing challenge in theoretical physics. The well-known eigenstate…

统计力学 · 物理学 2022-02-02 Lennart Dabelow , Patrick Vorndamme , Peter Reimann

Open quantum systems with nearly degenerate energy levels have been shown to exhibit long-lived metastable states in the approach to equilibrium, even when modelled with certain Lindblad-form quantum master equations. This is a result of…

量子物理 · 物理学 2024-02-16 Matthew Gerry , Michael J. Kewming , Dvira Segal

Understanding relaxation processes is an important unsolved problem in many areas of physics. A key challenge in studying such non-equilibrium dynamics is the scarcity of experimental tools for characterizing their complex transient states.…

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 explore how entanglement and non-locality evolve between specific spectral components of two-mode squeezed states in thermal environments. These spectral components are extracted from output modes using filters that are frequently…

量子物理 · 物理学 2025-01-31 Souvik Agasti

An intriguing phenomenon in non-equilibrium quantum thermodynamics is the asymmetry of thermal processes. Relaxation to thermal equilibrium is the most important dissipative process, being a key concept for the design of heat engines and…

量子物理 · 物理学 2025-04-09 Álvaro Tejero , Rafael Sánchez , Laiachi El Kaoutit , Daniel Manzano , Antonio Lasanta

A nearly-integrable isolated quantum many-body system reaches a quasi-stationary prethermal state before a late thermalization. Here, we revisit a particular example in the settings of an open quantum system. We consider a collection of…

量子物理 · 物理学 2024-01-09 Saptarshi Saha , Rangeet Bhattacharyya

Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

The Mpemba effect (MpE), where a far-from-equilibrium state of a system relaxes faster compared to a state closer to it, is a well-known counterintuitive phenomenon in classical and quantum systems. Various system-specific theories have…

量子物理 · 物理学 2025-12-11 Gourab Das

This work extends the results of the recently developed theory of a rather complete thermodynamic formalism for discrete-state, continuous-time Markov processes with and without detailed balance. We aim at investigating the question that…

统计力学 · 物理学 2011-05-30 Moises Santillan , Hong Qian

The Quantum Mpemba Effect (QME) is the quantum counterpart of the classical Mpemba effect--a counterintuitive phenomenon in which a system initially at a higher temperature relax to thermal eauilibrium faster than one at a lower…

量子物理 · 物理学 2025-09-12 Zijun Wei , Mingdi Xu , Xiang-Ping Jiang , Haiping Hu , Lei Pan

We study the thermalization properties of one-dimensional open quantum systems coupled to baths at their boundary. The baths are driven to their thermal states via Lindblad operators, while the system undergoes Hamiltonian dynamics. We…

强关联电子 · 物理学 2023-08-02 Cristian Zanoci , Yongchan Yoo , Brian Swingle