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arXiv quant-ph/0006072quant-phphysics.optics
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Jaynes-Cummings模型半经典动力学

Semiclassical Dynamics of the Jaynes-Cummings Model

Adrian Alscher, Hermann Grabert

摘要:

利用相干态路径积分的半经典近似研究了Jaynes-Cummings模型的动力学行为。将希尔伯特空间分解为基态以上激发量子的子空间,半经典传播子可以描述模型的精确量子动力学。我们还提出了一个半经典近似,不利用特殊性质的Jaynes-Cummings哈密顿量,可以扩展到更一般的情况。在这种方法中,占主导地位的半经典路径的贡献和相关的波动对他们的评估。这一理论导致自发发射的精确描述超越了通常的经典场近似。

英文摘要:

The semiclassical approximation of coherent state path integrals is employed to study the dynamics of the Jaynes-Cummings model. Decomposing the Hilbert space into subspaces of given excitation quanta above the ground state, the semiclassical propagator is shown to describe the exact quantum dynamics of the model. We also present a semiclassical approximation that does not exploit the special properties of the Jaynes-Cummings Hamiltonian and can be extended to more general situations. In this approach the contribution of the dominant semiclassical paths and the relevant fluctuations about them are evaluated. This theory leads to an accurate description of spontaneous emission going beyond the usual classical field approximation.

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