Casimir force and the quantum theory of lossy optical cavities
Casimir force and the quantum theory of lossy optical cavities
复制标题
卡西米尔力和有损光学腔的量子理论
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
S. Reynaud
中科院分区：
文献类型：
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作者：
C. Genet;A. Lambrecht;S. Reynaud
我们提出了零温度下两个平行平面镜之间卡西米尔力的推导。两个镜子及其包围的空腔被视为量子光学网络。一般来说，它们是有损的，并且具有与频率相关的反射幅度的特征。伴随损耗的额外波动是从光学定理的表达式推导出来的。给出了将腔内的谱密度与内部场所见的反射幅度相关的定理的一般证明。该密度决定了真空辐射压，从而决定了卡西米尔力。力作为实频率的积分获得，包括除普通波之外的倏逝波的贡献，然后作为虚频率的积分。该演示仅依赖于真实镜子所遵循的一般属性，这些属性也对卡西米尔力的变化施加一般约束。
We present a derivation of the Casimir force between two parallel plane mirrors at zero temperature. The two mirrors and the cavity they enclose are treated as quantum optical networks. They are, in general, lossy and characterized by frequency-dependent reflection amplitudes. The additional fluctuations accompanying losses are deduced from expressions of the optical theorem. A general proof is given for the theorem relating the spectral density inside the cavity to the reflection amplitudes seen by the inner fields. This density determines the vacuum radiation pressure and, therefore, the Casimir force. The force is obtained as an integral over the real frequencies, including the contribution of evanescent waves besides that of ordinary waves, and then as an integral over imaginary frequencies. The demonstration relies only on general properties obeyed by real mirrors which also enforce general constraints for the variation of the Casimir force.