Quantum Mpemba effect from initial system–reservoir entanglement

The Mpemba effect (ME)—where hot systems cool faster than colder ones—has intrigued both classical and quantum thermodynamics. Compared to classical systems, quantum systems add complexity due to quantum correlations. Recent works have explored anomalous relaxation and Mpemba-like effects in several...

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Main Author: Stefano Longhi
Format: Article
Language:English
Published: AIP Publishing LLC 2025-06-01
Series:APL Quantum
Online Access:http://dx.doi.org/10.1063/5.0266143
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author Stefano Longhi
author_facet Stefano Longhi
author_sort Stefano Longhi
collection DOAJ
description The Mpemba effect (ME)—where hot systems cool faster than colder ones—has intrigued both classical and quantum thermodynamics. Compared to classical systems, quantum systems add complexity due to quantum correlations. Recent works have explored anomalous relaxation and Mpemba-like effects in several quantum systems, considering isolated systems at zero temperature or open systems in contact with reservoirs under Markovian or non-Markovian dynamics. However, these models typically assume an initial unentangled system–bath state, overlooking the role of initial system–environment correlations. Here we propose a type of quantum ME, distinct from the strong ME, originating solely from initial system–bath entanglement. It is shown that the degree of initial entanglement significantly influences the early relaxation dynamics, with certain conditions causing backflow and retarded thermalization. As an example, we investigate the spontaneous emission of a two-level atom in a photonic waveguide at zero temperature, where an initial atom-photon entangled state results in delayed relaxation and a pronounced ME. These findings highlight the crucial role of quantum correlations in thermalization processes and open new avenues for identifying and engineering quantum Mpemba phenomena. Controlling relaxation dynamics through system–environment entanglement may have potential applications in quantum thermal machines, state initialization protocols, and quantum information processing, where precise control over thermalization is essential.
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spelling doaj-art-4e0230a2c5604bbd9c2ca0bd6cc401b02025-08-20T03:29:17ZengAIP Publishing LLCAPL Quantum2835-01032025-06-0122026133026133-810.1063/5.0266143Quantum Mpemba effect from initial system–reservoir entanglementStefano Longhi0Dipartimento di Fisica, Politecnico di Milano, Piazza L. da Vinci 32, I-20133 Milano, ItalyThe Mpemba effect (ME)—where hot systems cool faster than colder ones—has intrigued both classical and quantum thermodynamics. Compared to classical systems, quantum systems add complexity due to quantum correlations. Recent works have explored anomalous relaxation and Mpemba-like effects in several quantum systems, considering isolated systems at zero temperature or open systems in contact with reservoirs under Markovian or non-Markovian dynamics. However, these models typically assume an initial unentangled system–bath state, overlooking the role of initial system–environment correlations. Here we propose a type of quantum ME, distinct from the strong ME, originating solely from initial system–bath entanglement. It is shown that the degree of initial entanglement significantly influences the early relaxation dynamics, with certain conditions causing backflow and retarded thermalization. As an example, we investigate the spontaneous emission of a two-level atom in a photonic waveguide at zero temperature, where an initial atom-photon entangled state results in delayed relaxation and a pronounced ME. These findings highlight the crucial role of quantum correlations in thermalization processes and open new avenues for identifying and engineering quantum Mpemba phenomena. Controlling relaxation dynamics through system–environment entanglement may have potential applications in quantum thermal machines, state initialization protocols, and quantum information processing, where precise control over thermalization is essential.http://dx.doi.org/10.1063/5.0266143
spellingShingle Stefano Longhi
Quantum Mpemba effect from initial system–reservoir entanglement
APL Quantum
title Quantum Mpemba effect from initial system–reservoir entanglement
title_full Quantum Mpemba effect from initial system–reservoir entanglement
title_fullStr Quantum Mpemba effect from initial system–reservoir entanglement
title_full_unstemmed Quantum Mpemba effect from initial system–reservoir entanglement
title_short Quantum Mpemba effect from initial system–reservoir entanglement
title_sort quantum mpemba effect from initial system reservoir entanglement
url http://dx.doi.org/10.1063/5.0266143
work_keys_str_mv AT stefanolonghi quantummpembaeffectfrominitialsystemreservoirentanglement