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arXiv 1105.6071quant-phphysics.optics
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光在双腔中的绝热传输与光学朗道-齐纳问题

Adiabatic transfer of light in a double cavity and the optical Landau-Zener problem

N. Miladinovic, F. Hasan, N. Chisholm, I. E. Linnington, E. A. Hinds, D. H. J. O'Dell

备注：
24 pages, 18 figures. Version 2 includes a new section (Sec. VIII) on the regimes of validity of the Schroedinger-like equations and also of the adiabatic approximation, together with a new figure (Fig. 10). The discussion section (Sec. XI) has also been enhanced
发表信息：
Phys. Rev. A. 84, 043822 (2011)
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摘要：

我们分析了当两个腔之间的长度差改变时，例如通过平移公共反射镜，双腔中电磁场的演化。我们发现，这使得光子被确定性地从一个腔移动到另一个。我们能够得到绝热转移的条件，首先映射到类薛定谔波方程的电场的麦克斯韦波动方程，然后使用朗道-齐纳结果的过渡概率在避免交叉。我们的分析表明，这种映射只有严格持有时，两个腔弱耦合（即在一个高反射率的公共镜的制度），一般来说，需要小心时，试图与时间相关的边界条件的腔电动力学的哈密顿描述。

英文摘要：

We analyze the evolution of an electromagnetic field inside a double cavity when the difference in length between the two cavities is changed, e.g. by translating the common mirror. We find that this allows photons to be moved deterministically from one cavity to the other. We are able to obtain the conditions for adiabatic transfer by first mapping the Maxwell wave equation for the electric field onto a Schroedinger-like wave equation, and then using the Landau-Zener result for the transition probability at an avoided crossing. Our analysis reveals that this mapping only rigorously holds when the two cavities are weakly coupled (i.e. in the regime of a highly reflective common mirror), and that, generally speaking, care is required when attempting a hamiltonian description of cavity electrodynamics with time-dependent boundary conditions.

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