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arXiv quant-ph/9803014quant-ph
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开放系统的准正规模二次量子化

Second-quantization of open systems using quasinormal modes

K. C. Ho, P. T. Leung, Alec Maassen van den Brink, K. Young

摘要:

从第一性原理出发,用准正规模(QNM)表示开放腔中标量场的二次量子化,准正规模是演化方程的本征解,随着能量向外泄漏,它随时间呈指数衰减.该公式提供了仅涉及腔自由度的描述,外部充当(热或驱动)源。因此,热关联函数和腔费曼传播子表示的QNM,标记的离散指数,而不是一个连续的动量。单共振支配的态密度和自发衰变率,然后给出了适当的基础。这是QNM应用于腔QED现象的第一个重要步骤,将在其他地方报道。

英文摘要:

The second-quantization of a scalar field in an open cavity is formulated, from first principles, in terms of the quasinormal modes (QNMs), which are the eigensolutions of the evolution equation that decay exponentially in time as energy leaks to the outside. This formulation provides a description involving the cavity degrees of freedom only, with the outside acting as a (thermal or driven) source. Thermal correlation functions and cavity Feynman propagators are thus expressed in terms of the QNMs, labeled by a discrete index rather than a continuous momentum. Single-resonance domination of the density of states and the spontaneous decay rate is then given a proper foundation. This is a first essential step towards the application of QNMs to cavity QED phenomena, to be reported elsewhere.

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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