The geometry and thermodynamics of dissipative quantum systems

2010/02/16 by Hans Christian Öttinger · 32 citations
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analogy #Control and Stability of Dynamical Systems #Degrees of freedom (physics and chemistry) #Dissipative system #Mechanical and Optical Resonators #Non-equilibrium thermodynamics #Nonlinear system #Quantum #Quantum dissipation #Quantum dynamics #Quantum system #quant-ph

paper · pdf · doi:10.1209/0295-5075/94/10006

published in Europhysics Letters (EPL) 94(1), 10006 (Institute of Physics) · 4 pages, definitely no figures

arxiv created 2010/02/16 · openalex publication_date 2011/04/01 · openalex created_date 2016/06/24 · arxiv updated 2018/03/09 · openalex updated_date 2026/08/05

Abstract

Dirac's method of classical analogy is employed to include quantum degrees of freedom into a geometric framework of nonequilibrium thermodynamics. The proposed formulation of dissipative quantum mechanics builds entirely upon the geometric structures implied by commutators and canonical correlations. A lucid formulation of a nonlinear quantum master equation follows from the thermodynamic structure. The approach is applicable even at very low temperatures and complex classical environments with internal structure can be handled readily.

Citations

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