Relaxation dynamics of a quantum Brownian particle in an ideal gas
We show how the quantum analog of the Fokker-Planck equation for describing Brownian motion can be obtained as the diffusive limit of the quantum linear Boltzmann equation. The latter describes the quantum dynamics of a tracer particle in a dilute, ideal gas by means of a translation-covariant maste...
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| Published in: | The European physical journal. ST, Special topics Vol. 151; no. 1; pp. 59 - 72 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
01-12-2007
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| Online Access: | Get full text |
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| Summary: | We show how the quantum analog of the Fokker-Planck equation for describing Brownian motion can be obtained as the diffusive limit of the quantum linear Boltzmann equation. The latter describes the quantum dynamics of a tracer particle in a dilute, ideal gas by means of a translation-covariant master equation. We discuss the type of approximations required to obtain the generalized form of the Caldeira-Leggett master equation, along with their physical justification. Microscopic expressions for the diffusion and relaxation coefficients are obtained by analyzing the limiting form of the equation in both the SchrOdinger and the Heisenberg picture. |
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| Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 1951-6355 1951-6401 |
| DOI: | 10.1140/epjst/e2007-00362-9 |