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Effect of Inter-System Coupling on Heat Transport in a Microscopic Collision Model.

Feng Tian1, Jian Zou1, Lei Li2

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This study investigates an approximation in modeling bipartite systems. The validity of ignoring inter-system coupling depends on quantum correlations, with weaker correlations justifying the approximation.

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Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • Bipartite systems coupled to thermal environments are crucial in quantum thermodynamics.
  • Modeling system-environment interactions often involves approximations, such as neglecting inter-system coupling.
  • Understanding the validity of these approximations is essential for accurate predictions of system behavior.

Purpose of the Study:

  • To analyze the validity of approximating system-environment interactions by ignoring inter-system coupling in a bipartite system.
  • To investigate heat transport in both excitation-conserving and non-excitation-conserving interactions.
  • To explore the relationship between the approximation's validity and quantum correlations.

Main Methods:

  • Utilizing a collision model to simulate the bipartite system and its interaction with thermal environments.
  • Examining heat transport under varying inter-system coupling strengths for different interaction types.
  • Analyzing the impact of asymmetry in non-excitation-conserving interactions.

Main Results:

  • The approximation's validity shows counter-intuitive behavior with increasing inter-system coupling for excitation-conserving interactions.
  • For asymmetric non-excitation-conserving interactions, the approximation progressively worsens, enabling perfect thermal rectification.
  • The validity of the approximation is directly linked to the degree of quantum correlations between subsystems.

Conclusions:

  • The approximation of ignoring inter-system coupling is more justified when quantum correlations between subsystems are weaker.
  • The presence of asymmetry in non-excitation-conserving interactions can lead to significant thermal rectification effects.
  • Quantum correlations play a critical role in determining the accuracy of simplified models in bipartite quantum systems.