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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…

Statistical Mechanics · Physics 2025-03-27 Filiberto Ares , Vittorio Vitale , Sara Murciano

Quantum thermometry provides a key capability for nanoscale devices and quantum technologies, but most existing strategies rely on probes initialized near equilibrium. This equilibrium paradigm imposes intrinsic limitations: sensitivity is…

Quantum Physics · Physics 2026-01-09 Pritam Chattopadhyay , Jonas F. G. Santos , Avijit Misra

The "Mpemba effect" is the name given to the assertion that hot water freezes quicker than cold water1 or, in a modern and more general form, that the system that is initially more distant from its equilibrium state comes to this state…

Chemical Physics · Physics 2025-08-08 Andrei A. Klimov , Alexei V. Finkelstein

The essence of the Mpemba effect is that non-equilibrium systems may relax faster the further they are from their equilibrium configuration. In the quantum realm, this phenomenon arises in the dynamics of closed systems, where it is…

Quantum Physics · Physics 2024-12-03 Xhek Turkeshi , Pasquale Calabrese , Andrea De Luca

The Mpemba and Kovacs effects are two notable memory phenomena observed in nonequilibrium relaxation processes. In a recent study [Phys.~Rev.~E \textbf{109}, 044149 (2024)], these effects were analyzed within the framework of the…

Statistical Mechanics · Physics 2025-05-13 Andrés Santos

We study a granular gas of viscoelastic particles (kinetic energy loss upon collision is a function of the particles' relative velocities at impact) subject to a stochastic thermostat. We show that the system displays anomalous cooling and…

Soft Condensed Matter · Physics 2021-06-16 E. Mompó , M. A. López-Castaño , A. Torrente , F. Vega Reyes , A. Lasanta

The Mpemba effect is the counterintuitive phenomenon in statistical physics for which a far-from-equilibrium state can relax toward equilibrium faster than a state closer to equilibrium. This effect has raised a great curiosity since long…

Optics · Physics 2024-10-29 Stefano Longhi

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…

Quantum Physics · Physics 2026-05-01 Marco Peluso , Reinhold Egger , Andrea Nava

We study the Mpemba effect on a non-equilibrium Markov chain that mimics the run and tumble motion of an active particle in a discrete energy landscape. The broken detailed balance, rendered by the activity, gives rise to a unique anomalous…

Statistical Mechanics · Physics 2025-05-28 Apurba Biswas , Arnab Pal

Observation of the quantum Mpemba effect has spurred much interest in its enabling conditions and its relation to the classical counterpart. Here, we consider weakly open many-body quantum systems initialized in different thermal states and…

Quantum Physics · Physics 2025-11-24 Iris Ulčakar , Rustem Sharipov , Gianluca Lagnese , Zala Lenarčič

An ancient and counterintuitive phenomenon know as the Mpemba effect (water can cool faster when initially heated up) showcases the critical role of initial conditions in relaxation processes. How to realize and utilize this effect for…

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 quicker freezing of hotter water, than a colder sample, when quenched to a common lower temperature, is referred to as the Mpemba effect (ME). While this counter-intuitive fact remains a surprize since long, efforts have begun to…

Statistical Mechanics · Physics 2023-09-08 Sohini Chatterjee , Soumik Ghosh , Nalina Vadakkayil , Tanay Paul , Sanat K. Singha , Subir K. Das

As the temperature of a cooling object decreases as it relaxes to thermal equilibrium, it is intuitively assumed that a hot object should take longer to cool than a warm one. Yet, some 2,300 years ago, Aristotle observed that "to cool hot…

Statistical Mechanics · Physics 2020-08-07 Avinash Kumar , John Bechhoefer

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…

Strongly Correlated Electrons · Physics 2026-03-13 Wei-Xuan Chang , Shuai Yin , Shi-Xin Zhang , Zi-Xiang Li

In this work we suggest a simple theoretical solution of the Mpemba effect in full agreement with known experimental data. This solution follows simply as an especial approximation (linearization) of the usual heat (transfer) equation,…

General Physics · Physics 2012-12-12 Vladan Pankovic , Darko V. Kapor

The Mpemba effect originally referred to the observation that, under certain thermalizing dynamics, initially hotter samples can cool faster than colder ones. This effect has since been generalized to other anomalous relaxation behaviors…

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…

Quantum Physics · Physics 2025-12-11 Gourab Das

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…

Quantum Physics · Physics 2024-10-08 Mattia Moroder , Oisín Culhane , Krissia Zawadzki , John Goold

We investigate the quantum Mpemba effect in a dissipative Dicke model, which consists of a spin-1/2 ensemble coupled to a bosonic mode, which in turn is coupled to a bosonic bath. We derive a sufficient criterion for occurrence of the…

Quantum Physics · Physics 2026-01-01 Arunabha Das , Paranjoy Chaki , Priya Ghosh , Ujjwal Sen