dorsal/arxiv
View SchemaQuantum mechanics in general quantum systems (III): open system dynamics
| Authors | An Min Wang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601051 |
| URL | https://arxiv.org/abs/quant-ph/0601051 |
Abstract
We investigate the exact solution, perturbation theory and master equation of open system dynamics based on our serial studies on quantum mechanics in general quantum systems [An Min Wang, quant-ph/0611216 and quant-ph/0611217]. In a system-environment separated representation, a general and explicit solution of open system dynamics is obtained, and it is an exact solution since it includes all order approximations of perturbation. In terms of the cut-off approximation of perturbation and our improved scheme of perturbation theory, the improved form of the perturbed solution of open systems absorbing the partial contributions from the high order even all order approximations is deduced. Moreover, only under the factorizing initial condition, the exact master equation including all order approximations is proposed. Correspondingly, the perturbed master equation and its improved form different from the existed master equation are given. In special, the Redfield master equation is derived out without using Born-Markov approximation. The solution of open system dynamics in the Milburn model is also gained. As examples, Zurek model of two-state open system and its extension with two transverse fields are studied.
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"abstract": "We investigate the exact solution, perturbation theory and master equation of\nopen system dynamics based on our serial studies on quantum mechanics in\ngeneral quantum systems [An Min Wang, quant-ph/0611216 and quant-ph/0611217].\nIn a system-environment separated representation, a general and explicit\nsolution of open system dynamics is obtained, and it is an exact solution since\nit includes all order approximations of perturbation. In terms of the cut-off\napproximation of perturbation and our improved scheme of perturbation theory,\nthe improved form of the perturbed solution of open systems absorbing the\npartial contributions from the high order even all order approximations is\ndeduced. Moreover, only under the factorizing initial condition, the exact\nmaster equation including all order approximations is proposed.\nCorrespondingly, the perturbed master equation and its improved form different\nfrom the existed master equation are given. In special, the Redfield master\nequation is derived out without using Born-Markov approximation. The solution\nof open system dynamics in the Milburn model is also gained. As examples, Zurek\nmodel of two-state open system and its extension with two transverse fields are\nstudied.",
"arxiv_id": "quant-ph/0601051",
"authors": [
"An Min Wang"
],
"categories": [
"quant-ph",
"cond-mat.other",
"math-ph",
"math.MP",
"physics.optics"
],
"title": "Quantum mechanics in general quantum systems (III): open system dynamics",
"url": "https://arxiv.org/abs/quant-ph/0601051"
},
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