dorsal/arxiv
View SchemaConvolutionless Non-Markovian master equations and quantum trajectories: Brownian motion revisited
| Authors | Walter T. Strunz, Ting Yu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312103 |
| URL | https://arxiv.org/abs/quant-ph/0312103 |
| DOI | 10.1103/PhysRevA.69.052115 |
| Journal | Phys. Rev. A 69, 052115 (2004) |
Abstract
Stochastic Schr{\"o}dinger equations for quantum trajectories offer an alternative and sometimes superior approach to the study of open quantum system dynamics. Here we show that recently established convolutionless non-Markovian stochastic Schr{\"o}dinger equations may serve as a powerful tool for the derivation of convolutionless master equations for non-Markovian open quantum systems. The most interesting example is quantum Brownian motion (QBM) of a harmonic oscillator coupled to a heat bath of oscillators, one of the most-employed exactly soluble models of open system dynamics. We show explicitly how to establish the direct connection between the exact convolutionless master equation of QBM and the corresponding convolutionless exact stochastic Schr\"odinger equation.
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"abstract": "Stochastic Schr{\\\"o}dinger equations for quantum trajectories offer an\nalternative and sometimes superior approach to the study of open quantum system\ndynamics. Here we show that recently established convolutionless non-Markovian\nstochastic Schr{\\\"o}dinger equations may serve as a powerful tool for the\nderivation of convolutionless master equations for non-Markovian open quantum\nsystems. The most interesting example is quantum Brownian motion (QBM) of a\nharmonic oscillator coupled to a heat bath of oscillators, one of the\nmost-employed exactly soluble models of open system dynamics. We show\nexplicitly how to establish the direct connection between the exact\nconvolutionless master equation of QBM and the corresponding convolutionless\nexact stochastic Schr\\\"odinger equation.",
"arxiv_id": "quant-ph/0312103",
"authors": [
"Walter T. Strunz",
"Ting Yu"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.052115",
"journal_ref": "Phys. Rev. A 69, 052115 (2004)",
"title": "Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion revisited",
"url": "https://arxiv.org/abs/quant-ph/0312103"
},
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