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Mathematical Physics

arXiv:1601.00509v1 (math-ph)
[Submitted on 4 Jan 2016 ]

Title: Completely positive dynamical semigroups and quantum resonance theory

Title: 完全正动力学半群和量子共振理论

Authors:Martin Könenberg, Marco Merkli
Abstract: Starting form a microscopic system-environment model, we construct a quantum dynamical semigroup for the reduced evolution of the open system. The difference between the true system dynamics and its approximation by the semigroup has the following two properties: It is (linearly) small in the system-environment coupling constant for all times, and it vanishes exponentially quickly in the large time limit. Our approach is based on the quantum dynamical resonance theory.
Abstract: 从一个微观的系统-环境模型出发,我们构建了一个量子动力学半群来描述开系统的约化演化。 真实系统动力学与其由半群近似的差异具有以下两个性质:对于所有时间,它在系统-环境耦合常数上是(线性地)小的,并且在长时间极限下以指数速度消失。 我们的方法基于量子动力学共振理论。
Subjects: Mathematical Physics (math-ph)
MSC classes: 82C10, 81S22
Cite as: arXiv:1601.00509 [math-ph]
  (or arXiv:1601.00509v1 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1601.00509
arXiv-issued DOI via DataCite
Related DOI: https://doi.org/10.1007/s11005-017-0937-z
DOI(s) linking to related resources

Submission history

From: Martin Könenberg [view email]
[v1] Mon, 4 Jan 2016 14:03:27 UTC (18 KB)
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