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Information fluctuation theorem for an open quantum bipartite system.

Jung Jun Park1,2,3, Hyunchul Nha2, Sang Wook Kim4

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We developed a fluctuation theorem (FT) for quantum systems to analyze how subsystem correlations change during thermodynamic processes. This new FT links entropy production to quantum correlation dynamics in nonequilibrium systems.

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Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Nonequilibrium systems

Background:

  • Studying arbitrary nonequilibrium dynamics in quantum systems is challenging.
  • Characterizing thermodynamic evolution requires understanding subsystem interactions and correlations.

Purpose of the Study:

  • To present a fluctuation theorem (FT) for quantum bipartite systems coupled to a reservoir.
  • To explicitly address quantum correlations during thermodynamic evolution.
  • To relate local entropy production to changes in quantum correlation.

Main Methods:

  • We developed a fluctuation theorem (FT) for quantum bipartite systems.
  • The FT considers both local and global states in time-forward and time-reversed transitions.
  • We employed a two-point measurement scheme, measuring global states and using local states for augmented information.

Main Results:

  • We derived a novel FT relating local entropy production to the change in quantum correlation.
  • This FT provides a new thermodynamic inequality.
  • The utility of the inequality was demonstrated using an isothermal process on Werner states.

Conclusions:

  • The developed fluctuation theorem offers a new perspective on thermodynamics in open quantum systems.
  • It provides a tool to quantify the interplay between entropy production and quantum correlations.
  • This work advances the understanding of quantum information and thermodynamics.