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This study investigates quantum heat transport in coupled harmonic oscillators. The environment significantly impacts heat flow, with specific conditions enabling classical Fourier

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Area of Science:

  • Quantum thermodynamics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Understanding quantum heat transport is crucial for developing quantum technologies.
  • The influence of local environments on quantum systems is complex and not fully understood.
  • Classical heat conduction laws may not directly apply to quantum systems.

Purpose of the Study:

  • To analyze heat transport in a chain of coupled quantum harmonic oscillators.
  • To investigate the impact of diverse local environments on quantum heat transport.
  • To identify conditions for steady-state heat transport and its relation to classical laws.

Main Methods:

  • Analytical investigation of heat currents and mean oscillator energies.
  • Establishment of rigorous conditions for steady-state existence.
  • Detailed analysis of environmental influences on transport phenomena.

Main Results:

  • The nature of the local environment critically affects heat transport phenomenology.
  • Rigorous conditions for the existence of a steady state were derived.
  • Specific environmental couplings can lead to behaviors resembling classical Fourier's law.

Conclusions:

  • Environmental properties are key determinants of quantum heat transport.
  • The recovery of Fourier's law in quantum systems is environment-dependent.
  • This work provides a theoretical framework for controlling quantum heat flow.