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arXiv quant-ph/0207038quant-ph
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自发衰变二能级模型中的虚相

Imaginary Phases in Two-Level Model with Spontaneous Decay

A. C. Aguiar Pinto, M. T. Thomaz

摘要:

我们研究了一个耦合到电磁真空和一个固定频率的经典电场的二能级模型。外部电场的幅度应该随时间变化得非常慢。Garrison和Wright [{ \it Phys. Lett.} { \bf A128}(1988)177]用非厄米哈密顿量方法研究了该模型的绝热极限,得到了该二能级系统处于其上能级的几率具有虚几何相位。利用主方程描述二能级系统的时间演化,我们得到了耗散效应引起的虚相是与时间相关的,这与Garrison和Wright的结果相反。结果表明,不应用非厄米哈密顿方法讨论开放系统中虚相的性质。

英文摘要:

We study a two-level model coupled to the electromagnetic vacuum and to an external classic electric field with fixed frequency. The amplitude of the external electric field is supposed to vary very slow in time. Garrison and Wright [{\it Phys. Lett.} {\bf A128} (1988) 177] used the non-hermitian Hamiltonian approach to study the adiabatic limit of this model and obtained that the probability of this two-level system to be in its upper level has an imaginary geometric phase. Using the master equation for describing the time evolution of the two-level system we obtain that the imaginary phase due to dissipative effects is time dependent, in opposition to Garrison and Wright result. The present results show that the non-hermitian hamiltonian method should not be used to discuss the nature of the imaginary phases in open systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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