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Gianluca Francica1, Luca Dell'Anna1

  • 1Dipartimento di Fisica e Astronomia and <a href="https://ror.org/00z34yn88">Sezione INFN</a>, <a href="https://ror.org/00240q980">Università di Padova</a>, Via Marzolo 8, 35131 Padova, Italy.

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This study explores how initial quantum coherence affects work fluctuation theorems in nonequilibrium thermodynamics. We found that initial coherence modifies these theorems, deviating from the standard Tasaki-Crooks results.

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Area of Science:

  • Quantum thermodynamics
  • Non-equilibrium statistical mechanics
  • Quantum information theory

Background:

  • Fluctuation theorems are crucial for understanding systems far from equilibrium.
  • The Tasaki-Crooks fluctuation theorem connects work statistics in forward and backward quantum processes.
  • Standard theorems assume initial states are incoherent in the energy basis.

Purpose of the Study:

  • Investigate the impact of initial quantum coherence on work fluctuation theorems.
  • Extend the understanding of nonequilibrium thermodynamics to include quantum effects.
  • Analyze how quantum coherence modifies work distributions.

Main Methods:

  • Formulation of a detailed fluctuation theorem.
  • Utilizing a quasiprobability distribution of work.
  • Examining quantum processes with initial coherent states.

Main Results:

  • Initial quantum coherence leads to deviations from the standard Tasaki-Crooks fluctuation theorem.
  • The derived detailed fluctuation theorem reproduces the Tasaki-Crooks theorem when initial coherence is absent.
  • Quantum coherence plays a significant role in the thermodynamics of quantum processes.

Conclusions:

  • Quantum coherence is a key factor influencing work fluctuation theorems.
  • The study provides a more general framework for fluctuation theorems in quantum systems.
  • Findings advance the understanding of thermodynamics in the quantum regime.