The geometry and thermodynamics of dissipative quantum systems

Published 7 April 2011 Europhysics Letters Association
, , Citation Hans Christian Öttinger 2011 EPL 94 10006 DOI 10.1209/0295-5075/94/10006

0295-5075/94/1/10006

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.

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