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Markovian open many-body quantum systems display complicated relaxation dynamics. The spectral gap of the Liouvillian characterizes the asymptotic decay rate towards the stationary state, but it has recently been pointed out that the…

Statistical Mechanics · Physics 2024-07-30 Tatsuhiko Shirai , Takashi Mori

The Mpemba effect describes the phenomenon that a system at a hot initial temperature cools faster than at an initial warm temperature in the same environment. Such an anomalous cooling has recently been predicted and realized for trapped…

Soft Condensed Matter · Physics 2024-06-28 Isha Malhotra , Hartmut Löwen

Understanding how symmetry constrains dissipative relaxation in open quantum many-body systems remains a central challenge in nonequilibrium physics. Here we uncover a symmetry-selective Liouvillian mechanism that protects an isolated…

Quantum Physics · Physics 2026-05-21 Zijun Wei , Mingdi Xu , Yefeng Song , Yangqian Yan , Lei Pan

The quantum Mpemba effect refers to the phenomenon of a quantum system in an initial state, far away from equilibrium, relaxing much faster than a state comparatively nearer to equilibrium. We experimentally demonstrate that this highly…

Quantum Physics · Physics 2025-09-18 Arijit Chatterjee , Sakil Khan , Sachin Jain , T S Mahesh

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

We explore the role of activity in the occurrence of the Mpemba effect within a system of an active colloid diffusing in a potential landscape devoid of metastable minimum. The Mpemba effect is characterized by a phenomenon where a hotter…

Statistical Mechanics · Physics 2025-05-27 Apurba Biswas , R. Rajesh

We generalize the classical thermal Mpemba effect (where an initially hot system relaxes faster to the final equilibrium state than a cold one) to open quantum systems coupled to several reservoirs. We show that, in general, two different…

Statistical Mechanics · Physics 2024-10-07 Andrea Nava , Reinhold Egger

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

We study the complex quantum dynamics of a system of many interacting atoms in an elongated anharmonic trap. The system is initially in a Bose-Einstein condensed state, well described by Thomas-Fermi profile in the elongated direction and…

One of the manifestations of the quantum Mpemba effect (QME) is that a tilted ferromagnet exhibits faster restoration of the spin-rotational symmetry after a quantum quench when starting from a larger tilt angle. This phenomenon has…

Statistical Mechanics · Physics 2026-03-11 Shion Yamashika , Filiberto Ares

Quantum imaginary-time evolution (QITE) is a fundamental framework for preparing ground and thermal states, yet its computational cost scales significantly with the evolution duration $\tau$. Reducing this duration is critical for practical…

Quantum Physics · Physics 2026-04-21 Yumeng Zeng , Jeongrak Son , Mile Gu , Xiao Yuan

The Mpemba effect is a counterintuitive physical phenomenon where a hot system cools faster than a warm one. In recent years, theoretical analyses of the Mpemba effect have been developed for microscopic systems and experimentally verified.…

Statistical Mechanics · Physics 2025-03-12 Tan Van Vu , Hisao Hayakawa

The Mpemba effect is a counter-intuitive phenomena in which a hot system reaches a cold temperature faster than a colder system, under otherwise identical conditions. Here we propose a quantum analog of the Mpemba effect, on the simplest…

We investigate how quasiperiodic spatial structure enables protocol-induced acceleration in open quantum systems by analyzing the Pontus-Mpemba effect in one-dimensional chains subject to Markovian dephasing. The dynamics are governed by a…

Disordered Systems and Neural Networks · Physics 2026-02-18 Yefeng Song , Junxiao Chen , Xiangyu Yang , Mingdi Xu , Xiang-Ping Jiang , Lei Pan

The Mpemba effect is a fingerprint of the anomalous relaxation phenomenon wherein an initially hotter system equilibrates faster than an initially colder system when both are quenched to the same low temperature. Experiments on a single…

Statistical Mechanics · Physics 2023-08-16 Apurba Biswas , R. Rajesh , Arnab Pal

We investigate speeding up of relaxation of Markovian open quantum systems with the Liouvillian exceptional point (LEP), where the slowest decay mode degenerate with a faster decay mode. The degeneracy significantly increases the gap of the…

Quantum Physics · Physics 2025-01-14 Yan-Li Zhou , Xiao-Die Yu , Chun-Wang Wu , Xie-Qian Li , Jie Zhang , Weibin Li , Ping-Xing Chen

We consider open quantum systems whose dynamics is governed by a time-independent Markovian Lindblad Master equation. Such systems approach their stationary state on a timescale that is determined by the spectral gap of the generator of the…

Quantum Physics · Physics 2022-07-27 Simon Kochsiek , Federico Carollo , Igor Lesanovsky

The traditional Mpemba effect refers to an anomalous cooling phenomenon when an initial hotter system cools down faster than an initial warm system. Such counterintuitive behavior has been confirmed and explored across phase transitions in…

Soft Condensed Matter · Physics 2026-02-05 Alexander P. Antonov , Hartmut Löwen

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…

Quantum Physics · Physics 2025-03-25 Stefano Longhi

We analyse the dynamics of metastable Markovian open quantum systems by unravelling their average dynamics into stochastic trajectories. We use quantum reset processes as examples to illustrate metastable phenomenology, including a simple…

Quantum Physics · Physics 2024-04-08 Calum A. Brown , Katarzyna Macieszczak , Robert L. Jack