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Fluctuation theorem in quantum heat conduction.

Keiji Saito1, Abhishek Dhar

  • 1Graduate School of Science, University of Tokyo, 113-0033, Japan.

Physical Review Letters
|November 13, 2007
PubMed
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We studied heat flow in quantum systems, finding its distribution is non-Gaussian and obeys fluctuation theorems without quantum corrections. This reveals key insights into quantum heat transport dynamics.

Area of Science:

  • Quantum thermodynamics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Understanding heat transport in quantum systems is crucial for nanoscale energy management.
  • Stochastic thermodynamics provides a framework to analyze heat flow at the microscopic level.

Purpose of the Study:

  • To investigate the probability distribution of heat flow in a quantum harmonic chain.
  • To analyze steady-state heat conduction and its fluctuations.

Main Methods:

  • Exact computation of the generating function for heat flow at large time intervals.
  • Analysis of the large deviation function and its symmetry properties.
  • Langevin simulations in the classical limit for finite time and nonlinearity effects.

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Main Results:

  • The heat distribution function P(Q) is non-Gaussian with exponential tails.
  • The generating function satisfies the steady-state fluctuation theorem without quantum corrections.
  • Predictions for quantum heat current fluctuations at low temperatures were obtained.

Conclusions:

  • Quantum heat transport exhibits non-Gaussian statistics and adheres to fundamental fluctuation theorems.
  • The study provides a theoretical framework and simulation results for quantum heat flow analysis.