2018/08/31 by Congjie Ou, Sumiyoshi Abe · 5 citations
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Harmonic oscillator #Lindblad equation #Master equation #Non-equilibrium thermodynamics #Quantum #Quantum many-body systems #Quantum system #Simple (philosophy) #Thermoelastic and Magnetoelastic Phenomena #Work (physics) #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1209/0295-5075/125/60004
published in Europhysics Letters (EPL) 125(6), 60004 (Institute of Physics) · 16 pages, no figures. Published version
openalex created_date 2018/08/22 · arxiv created 2019/05/01 · openalex publication_date 2019/05/02 · arxiv updated 2019/05/06 · openalex updated_date 2026/08/06
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.