Thermomajorization Mpemba Effect: Unification and Universality

• URL: http://arxiv.org/abs/2410.06686v1
• Date: Wed, 9 Oct 2024 08:50:07 GMT
• Title: Thermomajorization Mpemba Effect: Unification and Universality
• Authors: Tan Van Vu, Hisao Hayakawa,
• Abstract summary: The Mpemba effect is a counterintuitive physical phenomenon where a hot system cools faster than a warm one. In this Letter, we derive a rigorous quantification of the Mpemba effect based on thermomajorization theory.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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. However, the conventional theory relies on a specific choice of distance measure to quantify relaxation speed, leading to several theoretical ambiguities. In this Letter, we derive a rigorous quantification of the Mpemba effect based on thermomajorization theory, referred to as the thermomajorization Mpemba effect. This approach resolves all existing ambiguities and provides a unification of the conventional Mpemba effect across all monotone measures. Furthermore, we demonstrate the universality of the thermomajorization Mpemba effect for Markovian dynamics, rigorously proving that it can occur in any temperature regime with fixed energy levels. Our findings offer a paradigm shift in understanding thermal relaxation processes and provide insights into designing systems that exhibit the Mpemba effect.

Related papers

• A resource theoretical unification of Mpemba effects: classical and quantum [37.69303106863453]
  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.
  arXiv  Detail & Related papers  (2025-07-22T19:28:16Z)
• 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)
• 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. We investigate the role of classical and quantum correlations in driving anomalous relaxation behaviors.
  arXiv  Detail & Related papers  (2025-01-31T19:16:30Z)
• Mpemba effect and super-accelerated thermalization in the damped quantum harmonic oscillator [0.0]
  Mpemba effect implies that non-equilibrium states can relax more rapidly when they are further from equilibrium. We show a quantum manifestation of the Mpemba effect in a simple and paradigmatic model of open quantum systems. In particular, one can find a broad class of far-from-equilibrium distributions that relax to equilibrium faster than any other initial thermal state.
  arXiv  Detail & Related papers  (2024-11-14T17:00:20Z)
• Quantum Mpemba effect of Localization in the dissipative Mosaic model [0.0]
  We study the dissipative dynamics of single excitations in open quantum systems. The energy level $E_cinfty$ exhibits a global periodicity in real configuration, which acts to inhibit dissipation. When the system deviates from $E_cinfty$, the quasi-disorder sets in, leading to increased dissipative effects.
  arXiv  Detail & Related papers  (2024-11-06T07:55:42Z)
• Observation of quantum strong Mpemba effect [11.375210055373365]
  We report the first experiment, as far as we know,about the strong Mpemba effect in a single trapped ion system. Our work provides an efficient strategy to exponentially accelerate relaxations of quantum system to their stationary state. It could open up the door to engineer a wide range of dissipative quantum systems.
  arXiv  Detail & Related papers  (2024-01-29T08:25:34Z)
• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• Quantum Mpemba effect in a quantum dot with reservoirs [0.0]
  We show that the system temperatures starting from two different initial values, cross each other at finite time to generate thermal quantam Mpemba effect. The slowest relaxation mode believed to play the dominating role in Mpemba effect in Markovian systems, does not contribute to such anomalous relaxation in the present model.
  arXiv  Detail & Related papers  (2023-04-05T12:42:46Z)
• Demonstrating Quantum Microscopic Reversibility Using Coherent States of Light [58.8645797643406]
  We propose and experimentally test a quantum generalization of the microscopic reversibility when a quantum system interacts with a heat bath. We verify that the quantum modification for the principle of microscopic reversibility is critical in the low-temperature limit.
  arXiv  Detail & Related papers  (2022-05-26T00:25:29Z)
• Maximum entropy quantum state distributions [58.720142291102135]
  We go beyond traditional thermodynamics and condition on the full distribution of the conserved quantities. The result are quantum state distributions whose deviations from thermal states' get more pronounced in the limit of wide input distributions.
  arXiv  Detail & Related papers  (2022-03-23T17:42:34Z)
• 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)
• Uhlmann Fidelity and Fidelity Susceptibility for Integrable Spin Chains at Finite Temperature: Exact Results [68.8204255655161]
  We show that the proper inclusion of the odd parity subspace leads to the enhancement of maximal fidelity susceptibility in the intermediate range of temperatures. The correct low-temperature behavior is captured by an approximation involving the two lowest many-body energy eigenstates.
  arXiv  Detail & Related papers  (2021-05-11T14:08:02Z)
• Taking the temperature of a pure quantum state [55.41644538483948]
  Temperature is a deceptively simple concept that still raises deep questions at the forefront of quantum physics research. We propose a scheme to measure the temperature of such pure states through quantum interference.
  arXiv  Detail & Related papers  (2021-03-30T18:18:37Z)
• 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)
• Thermal Field Theory in real-time formalism: concepts and applications for particle decays [0.0]
  This review represents a detailed and comprehensive discussion of the Thermal Field Theory (TFT) concepts and key results in Yukawa-type theories. We present a compendium of thermal decay rates for several typical reactions calculated within the framework of the real-time formalism.
  arXiv  Detail & Related papers  (2020-07-02T16:16:59Z)

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.