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Joint Fluctuation Theorems for Sequential Heat Exchange.

Jader Santos1, André Timpanaro2, Gabriel Landi1

  • 1Instituto de Física da Universidade de São Paulo, São Paulo 05314-970, Brazil.

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|December 8, 2020
PubMed
Summary
This summary is machine-generated.

This study examines heat exchange in quantum systems undergoing sequential collisions with ancillas. It reveals surprising correlations between heat exchanges, linking multiple collisions to independent events via a fluctuation theorem.

Keywords:
collisional modelsfluctuation theorems

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Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Quantum information

Background:

  • Understanding heat exchange in quantum systems is crucial for quantum technologies.
  • Sequential collisions introduce complex statistical correlations.
  • Existing approaches often focus on single events, neglecting joint distributions.

Purpose of the Study:

  • To investigate the joint probability distribution of heat exchange during sequential quantum collisions.
  • To explore correlations between successive heat exchange events.
  • To analyze the applicability of fluctuation theorems to multiple collisional events.

Main Methods:

  • Focusing on the joint probability distribution of heat exchange (Q1, Q2, ...).
  • Analyzing sequential collisions of a quantum system with multiple ancillas.
  • Deriving and examining a fluctuation theorem of the Jarzynski-Wójcik type.

Main Results:

  • Heat exchanges in sequential collisions are statistically correlated.
  • A large heat exchange in one collision tends to be followed by a smaller exchange.
  • The derived fluctuation theorem surprisingly connects multiple correlated collisions with independent single collisions.

Conclusions:

  • The joint statistics of sequential quantum collisions exhibit non-trivial correlations.
  • Fluctuation theorems can effectively describe complex multi-collision scenarios.
  • This work provides new insights into the statistical mechanics of open quantum systems.