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arXiv 1212.3752quant-ph
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不同初始光子分布下共振和非共振单模辐射的受激发射

Stimulated Emission of Radiation in a Single Mode for both Resonance and Non-resonance for Various Initial Photon Distributions

M. T. Tavis, F. W. Cummings

摘要:

本文重新审视了Cummings的结果,其中量子力学二能级系统(TLS)与具有各种初始分布的电磁场相互作用,并将共振和非共振的工作扩展到足以显示多光子回波的时间。结果包括初始纯相干态、初始密度矩阵为相干态高斯叠加的光场(黑体辐射)和由有压缩和无压缩的混合相干态和热态的各种组合表示的场的密度矩阵本文除了提供各种态的矩阵元外,给出了共振和非共振时一阶关联函数G=<E+E->的代数和图形表示。研究发现,在所有情况下,非共振的应用都导致了一阶关联的振荡,而这种振荡被认为只适用于相干态,甚至对于纯热态也是如此。

英文摘要:

This paper reexamines the results of Cummings in which the quantum mechanical two-level-system (TLS) interacts with the electromagnetic field with various initial distributions and extends that work for both resonant and non-resonant to times large enough to display multiple photon echoes. The results presented here include the initial pure coherent state, the field whose initial density matrix is the Gaussian superposition of coherent states (blackbody radiation) and density matrices of the field represented by various combinations of mixed coherent and thermal states with and without squeezing This paper provides, in addition to the matrix elements to the various states, both the algebraic and graphical representation for the first order correlation function G=<E+E-> for resonance and non-resonance. It is found that in all case, the application of non-resonance leads to oscillations in the first order correlation which was thought only to apply for the coherent state even for the case of the pure thermal state.

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