Models for local ohmic quantum dissipation

Details Models for local ohmic quantum dissipation Models for local ohmic quantum dissipation

1993-01-08

arxiv.org/abs/cond-mat/9301008v1

Physics

Condensed Matter

19 pages, REVTEX, PSU/TH/120

Scientific paper

10.1103/PhysRevA.48.1028

We construct model master equations for local quantum dissipation. The master equations are in the form of Lindblad generators, with imposed constraints that the dissipations be strictly linear (i.e. ohmic), isotropic and translationally invariant. A particular form for is chosen to satisfy the constraints. The resulting master equations are given in both the Schr\"odinger and Heisenberg forms. We obtain fluctuation-dissipation relations, and discuss the relaxation of average kinetic energy to effective thermal equilibrium values. We compare our results to the Dekker and the Caldeira-Leggett master equations. These master equations allow a more general approach to quantum dissipation and the dynamics of quantum coherence to account for the nontrivial system-environment coupling in a local environment.

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