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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…

Quantum Physics · Physics 2026-05-06 Zi-Shen Li , Yuxiang Yang

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,…

The highly complicated nature of far from equilibrium systems can lead to a complete breakdown of the physical intuition developed in equilibrium. A famous example of this is the Mpemba effect, which states that non-equilibrium states may…

Statistical Mechanics · Physics 2024-07-03 Colin Rylands , Katja Klobas , Filiberto Ares , Pasquale Calabrese , Sara Murciano , Bruno Bertini

It is shown that in systems with time-dependent and/or spatially nonuniform temperature $T(t,x)$, (i) most of the transport processes is weakly non-ergodic, and (ii) the diffusion (Brownian motion, BM) is anomalous. A few examples of simple…

Statistical Mechanics · Physics 2012-06-21 Andrzej Fuliński

In classical thermodynamics, heat must spontaneously flow from hot to cold systems. In quantum thermodynamics, the same law applies when considering multipartite product thermal states evolving unitarily. If initial correlations are…

Quantum Physics · Physics 2026-04-22 Naim Elias Comar , Danilo Cius , Luis Felipe Santos , Rafael Wagner , Bárbara Amaral

Anomalous thermalization, particularly the crossings of temperature trajectories from different initial states termed Mpemba crossings (MPCs), have intrigued scientists for decades. While recent studies in quantum systems suggest that…

Quantum Physics · Physics 2025-12-01 Xuanhua Wang , Jie Su , 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…

Statistical Mechanics · Physics 2023-08-25 Amit Kumar Chatterjee , Satoshi Takada , Hisao Hayakawa

The behavior of systems far from equilibrium is often complex and unpredictable, challenging and sometimes overturning the physical intuition derived from equilibrium scenarios. One striking example of this is the Mpemba effect, which…

Quantum Physics · Physics 2025-04-02 Stefano Longhi

Loosely speaking, the Mpemba effect appears when hotter systems cool sooner or, in a more abstract way, when systems further from equilibrium relax faster. In this paper, we investigate the Mpemba effect in a molecular gas with nonlinear…

Soft Condensed Matter · Physics 2022-05-31 Alberto Megías , Andrés Santos , Antonio Prados

Specific heats of quantum systems with symmetric and asymmetric double-well potentials have been calculated. In numerical calculations of their specific heats, we have adopted the combined method which takes into account not only…

Statistical Mechanics · Physics 2015-06-05 Hideo Hasegawa

According to conventional wisdom, a system placed in an environment with a different temperature tends to relax to the temperature of the latter, mediated by the flows of heat and/or matter that are set solely by the temperature difference.…

Statistical Mechanics · Physics 2024-03-18 Miguel Ibáñez , Cai Dieball , Antonio Lasanta , Aljaž Godec , Raúl A. Rica

The Mpemba effect is a phenomenon in which an initially hotter sample cools sooner. In this paper, we show the emergence of a non-monotonic Mpemba-like effect in a molecular binary mixture immersed in a viscous gas. Namely, a crossover in…

Soft Condensed Matter · Physics 2021-06-10 Rubén Gómez González , Vicente Garzó

The thermodynamic properties of strongly correlated system with binary type of disorder are investigated using the combination of the coherent potential approximation and dynamical mean-field theory. The specific heat has a peak at small…

Strongly Correlated Electrons · Physics 2015-01-09 Alexander I. Poteryaev , Sergey V. Skornyakov , Alexander S. Belozerov , Vladimir I. Anisimov

The origin of predicted and observed anomalies in caloric curves of nuclei and other mesoscopic systems is investigated. It is shown that a straightforward thermodynamical treatment of an evaporating liquid drop leads to a backbending in…

Nuclear Theory · Physics 2007-05-23 L. G. Moretto , J. B. Elliott , L. Phair , G. J. Wozniak

We study first-order phase transitions in a two-temperature system, where due to the time-scale separation all the basic thermodynamical quantities (free energy, entropy, etc) are well-defined. The sign of the latent heat is found to be…

Statistical Mechanics · Physics 2009-11-11 A. E. Allahverdyan , K. G. Petrosyan

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…

Quantum Physics · Physics 2025-11-24 Xingli Li , Yan Li , Yangqian Yan

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

Considering the thermodynamics of bosons in a lattice described by the Bose-Hubbard Hamiltonian, we report the occurrence of anomalous double peaks in their specific heat dependence on temperature. This feature, usually associated with a…

Quantum Gases · Physics 2020-10-14 Eduardo O. Rizzatti , Marco Aurélio A. Barbosa , Marcia C. Barbosa

We present results for the entire set of anomalous charge and heat transport coefficients for metallic systems in the presence of a finite-temperature heat bath. In realistic physical systems this necessitates the inclusion of inelastic…

Mesoscale and Nanoscale Physics · Physics 2022-04-11 Zhiqiang Wang , Rufus Boyack , K. Levin

This dissertation studies the quantum anomalous effects on the description of high energy electrodynamics. We argue that on the temperatures comparable to the electroweak scale, characteristic for the early Universe and objects like neutron…

High Energy Physics - Phenomenology · Physics 2021-02-23 Petar Pavlović