Universality of quantum Brownian motion
Are Markovian master equations for quantum Brownian motion independent of model assumptions used in the derivation and, thus, universal? With the aim of answering this question, we use a random band-matrix model for the system-bath interaction to derive Markovian master equations for the time evolut...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
7 June 1999
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| In: |
Physica. A, Statistical mechanics and its applications
Year: 1999, Volume: 267, Issue: 3, Pages: 354-374 |
| ISSN: | 1873-2119 |
| DOI: | 10.1016/S0378-4371(99)00022-9 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/S0378-4371(99)00022-9 Verlag, lizenzpflichtig, Volltext: http://www.sciencedirect.com/science/article/pii/S0378437199000229 
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| Author Notes: | Eric Lutz, Hans A. Weidenmüller |
| Summary: | Are Markovian master equations for quantum Brownian motion independent of model assumptions used in the derivation and, thus, universal? With the aim of answering this question, we use a random band-matrix model for the system-bath interaction to derive Markovian master equations for the time evolution of one-dimensional quantum systems weakly coupled to a heat bath. We study in detail two simple systems, the harmonic oscillator and the two-level system. Our results are in complete agreement with those of earlier models, like the Caldeira-Leggett model and, in the large-band limit, with the Agarwal equations (both with and without rotating-wave approximation). This proves the universality of these master equations. |
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| Item Description: | Gesehen am 23.11.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1873-2119 |
| DOI: | 10.1016/S0378-4371(99)00022-9 |