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arXiv quant-ph/9904065quant-ph
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二能级原子的量子随机模型和电磁截面

Quantum stochastic models of two-level atoms and electromagnetic cross sections

Alberto Barchielli, Giancarlo Lupieri

摘要:

量子随机微分方程已经被用来描述原子通过吸收/发射过程与电磁场相互作用的动力学。在这里,通过使用15年前Hudson和Parthasarathy提出的全量子随机薛定谔方程,我们证明了这样的模型可以推广到包括其他过程的相互作用。在两能级原子的情况下,我们构建了一个模型,其中与场的相互作用是由于吸收/发射过程或直接散射过程,这模拟了由于虚拟跃迁到已从描述中消除的能级的相互作用。为了观察新项的影响,研究了总的、弹性的和非弹性的电磁截面。新的功率谱与Mollow的结果进行了比较。

英文摘要:

Quantum stochastic differential equations have been used to describe the dynamics of an atom interacting with the electromagnetic field via absorption/emission processes. Here, by using the full quantum stochastic Schroedinger equation proposed by Hudson and Parthasarathy fifteen years ago, we show that such models can be generalized to include other processes into the interaction. In the case of a two-level atom we construct a model in which the interaction with the field is due either to absorption/emission processes either to direct scattering processes, which simulate the interaction due to virtual transitions to the levels which have been eliminated from the description. To see the effects of the new terms, the total, elastic and inelastic eloctromagnetic cross sections are studied. The new power spectrum is compared with Mollow's results.

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