arXiv quant-ph/98010461998-01quant-ph

原子激光的玻恩近似和马尔可夫近似

The Born and Markov approximations for atom lasers

G. M. Moy, J. J. Hope, C. M. Savage

备注：: 10 pages, 3 figures. (2 new figues). Exact solutions have been included in section II. Sections IV and V have been expanded. A new section discussing the effects of gravity has been included
DOI：: 10.1103/PhysRevA.59.667

摘要：

本文讨论了玻恩近似和马尔可夫近似在描述原子激光动力学中的应用。特别是，我们调查的量子光学玻恩-马尔可夫主方程描述输出耦合的适用性。我们推导出条件的基础上的原子水库，和原子色散关系时，玻恩-马尔可夫近似是有效的，并讨论参数制度，这些近似失败，在我们的原子激光模型。标准光学激光器模型和原子激光器之间的差异是由于多种因素的组合，包括典型的原子激光器将操作的参数机制，适合于原子的不同的库状态，以及原子和光子之间的不同色散关系。我们目前的结果的基础上的一个确切的方法在政权中，玻恩-马尔可夫近似失败。在一些实验相关的参数区域的精确解给出了原子从腔中的非指数损失。

英文摘要：

We discuss the use of the Born and Markov approximations in describing the dynamics of an atom laser. In particular, we investigate the applicability of the quantum optical Born-Markov master equation for describing output coupling. We derive conditions based on the atomic reservoir, and atom dispersion relations for when the Born-Markov approximations are valid and discuss parameter regimes where these approximations fail in our atom laser model. Differences between the standard optical laser model and the atom laser are due to a combination of factors, including the parameter regimes in which a typical atom laser would operate, the different reservoir state which is appropriate for atoms, and the different dispersion relations between atoms and photons. We present results based on an exact method in the regimes in which the Born-Markov approximation fails. The exact solutions in some experimentally relavent parameter regimes give non-exponential loss of atoms from a cavity.

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摘要：

英文摘要：

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