Models for local Ohmic quantum dissipation

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Abstract

We propose a family of master equations for local quantum dissipation. The master equations are constructed in the form of Lindblad generators, with the constraints that the dissipation be strictly linear (i.e., Ohmic), isotropic, and translationally invariant. The resulting master equations are given in both the Schrödinger 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 for one dimension to the Dekker master equation [H. Dekker, Phys. Rep. 80, 1 (1981)], which can be interpreted as a low-length-scale approximation of our model, as well as the Caldeira-Leggett master equation [A.O. Caldeira and A. J. Leggett, Physica (Utrecht) A 121, 587 (1983)].

Original languageEnglish (US)
Pages (from-to)1028-1034
Number of pages7
JournalPhysical Review A
Volume48
Issue number2
DOIs
Publication statusPublished - Jan 1 1993

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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