A resource theoretical unification of Mpemba effects: classical and quantum
- URL: http://arxiv.org/abs/2507.16976v1
- Date: Tue, 22 Jul 2025 19:28:16 GMT
- Title: A resource theoretical unification of Mpemba effects: classical and quantum
- Authors: Alessandro Summer, Mattia Moroder, Laetitia P. Bettmann, Xhek Turkeshi, Iman Marvian, John Goold,
- Abstract summary: The Mpemba effect originally referred to the observation that, under certain thermalizing dynamics, initially hotter samples can cool faster than colder ones.<n>This work demonstrates that resource theories, widely employed in information theory, provide a unified organizing principle to frame Mpemba physics.
- Score: 37.69303106863453
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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 even beyond classical domains, such as symmetry restoration in quantum systems. This work demonstrates that resource theories, widely employed in information theory, provide a unified organizing principle to frame Mpemba physics. We show how the conventional thermal Mpemba effect arises naturally from the resource theory of athermality, while its symmetry-restoring counterpart is fully captured by the resource theories of asymmetry. Leveraging the framework of modes of asymmetry, we demonstrate that the Mpemba effect due to symmetry restoration is governed by the initial overlap with the slowest symmetry-restoring mode -- mirroring the role of the slowest Liouvillian eigenmode in thermal Mpemba dynamics. Through this resource-theoretical formalism, we uncover the connection between these seemingly disparate effects and show that the dynamics of thermalization naturally splits into a symmetry-respecting and a symmetry-breaking term.
Related papers
- Prethermal inverse Mpemba effect [0.0]
The inverse Mpemba effect is a counterintuitive phenomenon in which a system relaxes to the final state more rapidly when starting from a lower initial temperature.<n>We extend this concept to the relaxation toward a prethermal state in isolated quantum systems.
arXiv Detail & Related papers (2025-07-07T05:20:28Z) - Quantum Mpemba effect without global symmetries [0.3903025330856988]
We show that the quantum Mpemba effect (QME) is ubiquitous in non-integrable many-body systems lacking global symmetries.<n>Our findings provide a unified framework for the QME, linking it with classical thermal relaxation and phenomena such as prethermalization and weak ergodicity breaking.
arXiv Detail & Related papers (2025-05-22T18:00:01Z) - Thermodynamic limits of the Mpemba effect: A unified resource theory analysis [0.0]
Mpemba effect is a counterintuitive thermodynamic phenomenon in which a hotter system cools more rapidly than a colder one.<n>We investigate the role of classical and quantum correlations in driving anomalous relaxation behaviors.
arXiv Detail & Related papers (2025-01-31T19:16:30Z) - The quantum Mpemba effect in free-fermionic mixed states [0.0]
In certain scenarios, greater initial symmetry breaking leads to faster restoration, akin to a quantum Mpemba effect.<n>This study focuses on investigating the effect of mixed initial states and non-unitary dynamics on symmetry restoration.
arXiv Detail & Related papers (2024-05-14T19:07:25Z) - Observing the quantum Mpemba effect in quantum simulations [0.0]
We experimentally investigate the quantum Mpemba effect, where a tilted ferromagnet restores its symmetry more rapidly when it is farther from the symmetric state.
We present the first experimental evidence of the occurrence of this effect in a trapped-ion quantum simulator.
arXiv Detail & Related papers (2024-01-08T22:50:23Z) - Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems.
This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state.
Our results explain finite-time thermalization in chaotic open quantum systems.
arXiv Detail & Related papers (2021-12-14T18:48:31Z) - Open-system approach to nonequilibrium quantum thermodynamics at
arbitrary coupling [77.34726150561087]
We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths.
Our approach is based on the exact time-local quantum master equation for the reduced open system states.
arXiv Detail & Related papers (2021-09-24T11:19:22Z) - Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator.
We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
arXiv Detail & Related papers (2021-07-23T07:30:57Z) - Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas.
Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit.
The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
arXiv Detail & Related papers (2020-08-05T18:00:26Z) - Probing eigenstate thermalization in quantum simulators via
fluctuation-dissipation relations [77.34726150561087]
The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems.
Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations.
Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
arXiv Detail & Related papers (2020-07-20T18:00:02Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.