The geometry and thermodynamics of dissipative quantum systems
arXiv:1002.2938 · doi:10.1209/0295-5075/94/10006
Abstract
Dirac's method of classical analogy is employed to incorporate quantum degrees of freedom into modern 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. Complex classical environments with internal structure can be handled readily.
4 pages, definitely no figures
References in corpus (1)
Cited by in corpus (13)
- An entropic gradient structure for Lindblad equations and couplings of quantum systems to macroscopic models
- Hybrid quantum-classical modeling of quantum dot devices
- Modular Dynamical Semigroups for Quantum Dissipative Systems
- Dynamic coarse-graining approach to quantum field theory
- Stochastic process behind nonlinear thermodynamic quantum master equation
- Unified entropies and quantum speed limits for nonunitary dynamics
- Stability of the Grabert master equation
- Instability in the Hartmann--Hahn double resonance
- Computer Simulation of Quantum Dynamics in a Classical Spin Environment
- Quantum Dynamics in Classical Spin Baths
- Mathematical structure and physical content of composite gravity in weak-field approximation
- Biexponential decay and ultralong coherence of a single qubit
- Stochastic Thermodynamics of oscillators networks