Generalized Fluctuation Theorem for Quantum Heat
- URL: http://arxiv.org/abs/2401.15533v1
- Date: Sun, 28 Jan 2024 00:49:11 GMT
- Title: Generalized Fluctuation Theorem for Quantum Heat
- Authors: Wei Wu, Jun-Hong An
- Abstract summary: Nonequilibrium fluctuation relation is a cornerstone of quantum thermodynamics.
The Jarzynski-W'ojcik fluctuation theorem is recovered in the weak-coupling limit.
Average quantum heat exhibits rich nonequilibrum characters when different numbers of system-bath bound states are formed.
- Score: 4.704996153397008
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Nonequilibrium fluctuation relation is a cornerstone of quantum
thermodynamics. It is widely believed that the system-bath heat exchange obeys
the famous Jarzynski-W\'{o}jcik fluctuation theorem. However, this theorem is
established in the Born-Markovian approximation under the weak coupling
condition. Via studying the quantum heat of a harmonic oscillator coupled to a
bath in the non-Markovian dynamics, we here establish a generalized fluctuation
theorem for quantum heat being valid for arbitrary system-bath coupling
strength. The Jarzynski-W\'{o}jcik fluctuation theorem is recovered in the
weak-coupling limit. We also find the average quantum heat exhibits rich
nonequilibrum characters when different numbers of system-bath bound states are
formed, which suggests a useful way to control the quantum heat. Deepening our
understanding to the fluctuation relation in quantum thermodynamics, our result
lays a foundation to design high-efficiency quantum heat engines.
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