Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions
- URL: http://arxiv.org/abs/2204.02966v2
- Date: Mon, 31 Jul 2023 16:13:20 GMT
- Title: Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions
- Authors: Fernando Nicacio and Raphael N. P. Maia
- Abstract summary: We deal with a generic time-local non-Markovian master equation.
We define current and power to be process-dependent as in classical thermodynamics.
Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
- Score: 77.34726150561087
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Dealing with a generic time-local non-Markovian master equation, we define
current and power to be process-dependent as in classical thermodynamics. Each
process is characterized by a symmetry transformation, a gauge of the master
equation, and is associated with different amounts of heat and/or work. Once
the symmetry requirement fixes the thermodynamical quantities, a consistent
gauge interpretation of the laws of thermodynamics emerges. We also provide the
necessary and sufficient conditions for a system to have a gauge-independent
thermodynamical behavior and show that systems satisfying Quantum Detailed
Balance conditions are gauge-independent. Applying the theory to quantum
thermal engines, we show that gauge transformations can change the machine
efficiency, however, yet constrained by the classical Carnot bound.
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