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arXiv · 1808.04128

Weak invariants, temporally-local equilibria, and isoenergetic processes described by the Lindblad equation

Congjie Ou·Sumiyoshi Abe
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Abstract

The concept of weak invariants is examined in the thermodynamic context. Discussions are made about the temporally-local equilibrium states, corrections to them, and isoenergetic processes based on the quantum master equations of the Lindblad type that admit time-dependent Hamiltonians as weak invariants. The method for determining the correction presented here may be thought of as a quantum-mechanical analog of the Chapman-Enskog expansion in nonequilibrium classical statistical mechanics. Then, the theory is applied to the time-dependent harmonic oscillator as a simple example, and the power output and the work along an isoenergetic process are evaluated within the framework of finite-time quantum thermodynamics.

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Congjie Ou, Sumiyoshi Abe. 2018-08-13. Weak invariants, temporally-local equilibria, and isoenergetic processes described by the Lindblad equation. https://doi.org/10.1209/0295-5075/125/60004

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