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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

Inspired by responses to the work (arXiv:1310.6514), we solved the one-dimensional, nonlinear Fourier initial and boundary condition problem using the finite element method. Examination of all possible parameters reveals the following: 1.…

Chemical Physics · Physics 2015-01-16 Xi Zhang , Yongli Huang , Zengsheng Ma , Chang Q Sun

The Mpemba effect, where a system initially farther from equilibrium relaxes faster than one closer to equilibrium, has been extensively studied in classical systems and recently explored in quantum settings. While previous studies of the…

Quantum Physics · Physics 2025-09-30 Tanmay Bhore , Lei Su , Ivar Martin , Aashish A. Clerk , Zlatko Papić

We investigate relaxation-order inversion, known as the quantum Mpemba effect (QME), in a minimal open many-body system called a one-dimensional four-site Bose--Hubbard chain governed by Lindblad dynamics with local number dephasing.…

A system initially far from equilibrium is expected to take more time to reach equilibrium than a system that was initially closer to equilibrium. The old puzzling observation (also called Mpemba effect) that when a sample of hot water and…

Statistical Mechanics · Physics 2010-11-18 P. Chaddah , S. Dash , Kranti Kumar , A. Banerjee

Via molecular dynamics simulations we study ICE formation in the TIP4P/Ice model that is known to describe structure and dynamics in various phases of WATER accurately. For this purpose well equilibrated configurations from different…

Statistical Mechanics · Physics 2024-07-10 Soumik Ghosh , Purnendu Pathak , Sohini Chatterjee , Subir K. Das

We study a one-dimensional quasiperiodic tight-binding model with simultaneous off-diagonal (hopping) and diagonal (onsite) modulations. Using the inverse participation ratio and the wave-packet centroid, we construct…

Disordered Systems and Neural Networks · Physics 2026-01-27 Ao Zhou , Feng Lu , Shujie Cheng , Gao Xianlong

For quicker formation of ice, before inserting inside a refrigerator, heating up of a body of water can be beneficial. We report first observation of a counterpart of this intriguing fact, referred to as the Mpemba effect (ME), during…

Statistical Mechanics · Physics 2022-10-07 Nalina Vadakkayil , Subir K. Das

Closed chaotic quantum systems relax after a quench into a Gibbs ensemble. At late times, the relaxation speed is determined by their conservation laws and hydrodynamics. As a result, there exist pairs of initial states which thermalize to…

Quantum Physics · Physics 2026-04-28 Thomas Martin Müller , Silvia Pappalardi , Rosario Fazio

We develop a perturbative technique for solving Markovian quantum dissipative dynamics, with the perturbation parameter being a small gap in the eigenspectrum. As an example, we apply the technique and straightforwardly obtain analytically…

Quantum Physics · Physics 2023-08-09 Felix Ivander , Nicholas Anto-Sztrikacs , Dvira Segal

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

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

We investigate the quantum Mpemba effect (QME) in isolated, non-integrable quantum systems, where relaxation dynamics depend on structure of the initial states. By analyzing the distribution of initial states across symmetrical subspaces,…

Quantum Physics · Physics 2025-09-29 Yihan Yu , Tianren Jin , Lv Zhang , Kai Xu , Heng Fan

I suggest that the origin of the Mpemba effect (the freezing of hot water before cold) is freezing-point depression by solutes, either gaseous or solid, whose solubility decreases with increasing temperature so that they are removed when…

Chemical Physics · Physics 2017-01-30 J. I. Katz

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

Thermodynamic random processes in thermal systems are generally associated with one or several relaxation times, the inverse of which are formally homogeneous with energy. Here, we show in a precise way that the periodic modification of…

General Physics · Physics 2007-05-23 François Barriquand

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…

Statistical Mechanics · Physics 2025-10-29 Filiberto Ares , Colin Rylands , Pasquale Calabrese

The quantum Mpemba effect concerns with anomalous relaxation of quantum states that evolves either under unitary or non-unitary dynamics. In the context of open quantum systems, while most studies focus on quantum states evolving under…

Statistical Mechanics · Physics 2026-05-19 Pitambar Bagui , Bijay Kumar Agarwalla

Local relaxation after a quench in 1-D quantum many-body systems is a well known and very active problem with rich phenomenology. Except for pathological cases, the local relaxation is accompanied by the local restoration of the symmetries…

Statistical Mechanics · Physics 2024-11-14 Konstantinos Chalas , Filiberto Ares , Colin Rylands , Pasquale Calabrese

The historical Mpemba effect involves a first-order phase transition. This has prompted the experimental realization of microscopic proxies in the form of a colloidal particle trapped in an asymmetric double well, for which the Mpemba…

Statistical Mechanics · Physics 2026-04-21 Yue Liu , Tan Van Vu , Raphaël Chétrite , Frédéric van Wijland , Hisao Hayakawa
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