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When a hot system cools down faster than an equivalent cold one, it exhibits the Mpemba Effect. This counterintuitive phenomenon was observed in several systems including water, magnetic alloys and polymers. In most experiments the system…

Statistical Mechanics · Physics 2023-07-07 Gianluca Teza , Ran Yaacoby , Oren Raz

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

Monitoring a quantum system can profoundly alter its dynamical properties, leading to nontrivial emergent phenomena. In this work, we demonstrate that dynamical measurements strongly influence the evolution of symmetry in many-body quantum…

Quantum Physics · Physics 2025-09-15 Giuseppe Di Giulio , Xhek Turkeshi , Sara Murciano

The quantum Mpemba effect (QMPE), an intriguing anomalous relaxation phenomenon, has recently attracted significant attention. However, how various types of noise, which are ubiquitous in real systems, may affect the QMPE remains unknown.…

Quantum Physics · Physics 2025-07-17 Mingrui Zhao , Zhonghuai Hou

The Mpemba effect and its inverse can be understood as a result of nonequilibrium thermodynamics. In polymers, changes of state are generally non-equilibrium processes. However, the Mpemba effect has been rarely reported in the…

Soft Condensed Matter · Physics 2023-04-28 Jinghua Liu , Jingqing Li , Binyuan Liu , Ian W. Hamley , Shichun Jiang

Mpemba effects occur after a sudden quench of control parameters if for ''far'' (or ''hot'') initial states with respect to a final target state, the relaxation time toward the target state is shorter than for ''close'' (or ''cold'')…

Quantum Physics · Physics 2025-10-06 Andrea Nava , Reinhold Egger

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

The quantum Mpemba effect (QME) is a phenomenon observed in many-body systems where initial systems configurations farther from equilibrium can be observed to equilibrate faster than configurations that are closer to it. By considering…

Quantum Physics · Physics 2026-04-14 Matthew Mackinnon , Mauro Paternostro

We explore the role of exceptional points and complex eigenvalues on the occurrence of the quantum Mpemba effect. To this end, we study a two-level driven dissipative system subjected to an oscillatory electric field and dissipative…

Quantum Physics · Physics 2024-09-17 Amit Kumar Chatterjee , Satoshi Takada , Hisao Hayakawa

The Empemba effect (ME) is investigated in the context of ubiquitous quantum oscillating and two-level systems (TLS) using a novel approach (DOI 10.1088/1402-4896/ad97f1). Exact reduced density matrices for various initial states are…

Quantum Physics · Physics 2025-09-03 Fardin Kheirandish , Narges Cheraghpour , Adam Moradian

Understanding relaxation dynamics in open quantum systems is a central problem in nonequilibrium quantum physics. Here we investigate the quantum Mpemba effect in the spin-boson model. In the weak-coupling Markovian regime we show that the…

Quantum Physics · Physics 2026-03-19 P. Chirico , G. Di Bello , G. De Filippis , C. A. Perroni

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

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

Non-equilibrium dynamics of quantum many-body systems has attracted increasing attention owing to a variety of intriguing phenomena absent in equilibrium physics. A prominent example is the quantum Mpemba effect, where subsystem symmetry is…

Disordered Systems and Neural Networks · Physics 2026-01-09 Shuo Liu , Hao-Kai Zhang , Shuai Yin , Shi-Xin Zhang , Hong Yao

The Mpemba effect occurs when a hot system cools faster than an initially colder one, when both are refrigerated in the same thermal reservoir. Using the custom built supercomputer Janus II, we study the Mpemba effect in spin glasses and…

Entanglement asymmetry, which serves as a diagnostic tool for symmetry breaking and a proxy for thermalization, has recently been proposed and studied in the context of symmetry restoration for quantum many-body systems undergoing a quench.…

Quantum Physics · Physics 2024-11-11 Shuo Liu , Hao-Kai Zhang , Shuai Yin , Shi-Xin Zhang

We demonstrate the existence, as well as determine the conditions, of a Mpemba effect - a counterintuitive phenomenon where a hotter system equilibrates faster than a cooler system when quenched to a cold temperature - in anisotropically…

Statistical Mechanics · Physics 2022-03-14 Apurba Biswas , V. V. Prasad , R. Rajesh

In a two-qubit system the coupling with an environment affects considerably the entanglement dynamics, and usually leads to the loss of entanglement within a finite time. Since entanglement is a key feature in the application of such…

Quantum Physics · Physics 2009-11-13 Y. Dubi , M. Di Ventra

We report the emergence of a giant Mpemba effect in the uniformly heated gas of inelastic rough hard spheres: The initially hotter sample may cool sooner than the colder one, even when the initial temperatures differ by more than one order…

The Mpemba effect occurs when two samples at different initial temperatures evolve in such a way that the temperatures cross each other during the relaxation towards equilibrium. In this paper we show the emergence of a Mpemba-like effect…

Statistical Mechanics · Physics 2021-05-17 Rubén Gómez González , Nagi Khalil , Vicente Garzó
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