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Exchange fluctuation theorem for heat transport between multiterminal harmonic systems
Bijay Kumar Agarwalla1, Huanan Li2, Baowen Li3
1Department of Physics and Center for Computational Science and Engineering, National University of Singapore, Singapore 117542, Republic of Singapore and Chemistry Department, University of California, Irvine, California 92697-2025, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 30, 2014
Summary
We derived analytical expressions for heat and entropy transfer between quantum systems. This work discusses fluctuation theorems and the impact of coupling strength on these thermodynamic quantities.
Area of Science:
- Quantum thermodynamics
- Statistical mechanics
- Non-equilibrium systems
Background:
- Understanding heat and entropy transfer is crucial for quantum thermodynamics.
- Previous studies often focused on specific system types or simplified coupling models.
Purpose of the Study:
- To derive general analytical expressions for heat and entropy transfer statistics in multiterminal systems.
- To investigate transient and steady-state fluctuation theorems for these quantities.
- To analyze the influence of coupling strength on the exchange fluctuation theorem.
Main Methods:
- Modeling systems as coupled harmonic oscillators at different temperatures.
- Employing a consistent quantum framework with a two-time measurement concept.
- Deriving the generalized cumulant generating function.
Main Results:
- Obtained analytical expressions for the generalized cumulant generating function of transferred heat and entropy.
- Presented transient and steady-state fluctuation theorems for multiterminal quantum systems.
- Demonstrated the effect of coupling strength on the exchange fluctuation theorem.
Conclusions:
- The study provides a general theoretical framework for analyzing heat and entropy fluctuations in complex quantum systems.
- The derived fluctuation theorems offer insights into the non-equilibrium thermodynamics of quantum transport.
- The findings are applicable to various quantum devices and information processing tasks.
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