The geometry and thermodynamics of dissipative quantum systems
ETH Zürich, Department of Materials, Polymer Physics, HCI H 543 - CH-8093 Zürich, Switzerland
Accepted: 9 March 2011
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.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 03.65.Yz – Decoherence; open systems; quantum statistical methods
© EPLA, 2011