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Limiting flux in quantum thermodynamics.

Domingos S P Salazar1

  • 1Unidade de Educação a Distância e Tecnologia, Universidade Federal Rural de Pernambuco, 52171-900 Recife, Pernambuco, Brazil.

Physical Review. E
|April 18, 2024
PubMed
Summary

Researchers developed a new quantum relative entropy bound for entropy production. This bound is effective even far from equilibrium and in strong coupling regimes, unlike previous methods.

Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Quantum information theory

Background:

  • Entropy production is crucial for understanding irreversible processes in quantum systems.
  • Current definitions, based on quantum relative entropy, offer upper bounds for fluxes of bounded observables.
  • These bounds are limited, becoming irrelevant in general nonequilibrium situations and strong coupling.

Purpose of the Study:

  • To introduce a novel upper bound for entropy production fluxes in quantum systems.
  • To extend the applicability of quantum relative entropy bounds beyond near-equilibrium conditions.
  • To validate the proposed bound in realistic quantum scenarios.

Main Methods:

  • Derivation of a new theoretical upper bound for entropy production using quantum relative entropy.

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  • Application of the bound to systems far from equilibrium and in the strong coupling regime.
  • Comparison of the theoretical bound with numerical simulations.
  • Main Results:

    • The proposed quantum relative entropy bound is applicable beyond equilibrium and in strong coupling.
    • Monte Carlo simulations of random qubits with coherence demonstrate the bound's validity.
    • Analysis of a two-interacting-nuclear-spins model further validates the new bound.

    Conclusions:

    • The new upper bound offers a more robust tool for quantifying entropy production in diverse quantum systems.
    • This work advances the understanding of thermodynamic irreversibility in nonequilibrium quantum dynamics.
    • The findings have implications for quantum thermodynamics, condensed matter, and quantum information processing.