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arXiv 0711.0650quant-ph
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表面等离子体激元模在Casimir效应中的作用

The role of Surface Plasmon modes in the Casimir Effect

F. Intravaia, A. Lambrecht

摘要:

本文研究了表面等离子体激元模在Casimir效应中的作用。首先,我们把卡西米尔能量写成一个真实腔的模的和。我们可以识别出两种模式,两种倏逝表面等离子体模式和传播模式。由于表面等离子体激元模式之一对于某些参数的选择变得传播,我们采用绝热模式定义,其中我们遵循该模式进入传播扇区并将其与表面等离子体激元贡献一起计数,将该贡献称为“等离子体激元”。其余的模式是传播腔模式,我们称之为“光子”。Casimir能量包含两个主要贡献,一个来自等离子体激元,另一个来自光子模式。令人惊讶的是,我们发现,等离子体激元的贡献,卡西米尔能源成为排斥的中间和大镜分离。另外,我们讨论了共同的表面等离子体定义,其中只包括倏逝波,这种效果是不found.We表明,在一个直观的预期相反,对于这两个定义的Casimir能量是两个非常大的贡献,几乎相互抵消的总和。表面等离子体激元对Casimir能量的贡献不仅在短距离上而且在长距离上都起着重要的作用。

英文摘要:

In this paper we study the role of surface plasmon modes in the Casimir effect. First we write the Casimir energy as a sum over the modes of a real cavity. We may identify two sorts of modes, two evanescent surface plasmon modes and propagative modes. As one of the surface plasmon modes becomes propagative for some choice of parameters we adopt an adiabatic mode definition where we follow this mode into the propagative sector and count it together with the surface plasmon contribution, calling this contribution "plasmonic". The remaining modes are propagative cavity modes, which we call "photonic". The Casimir energy contains two main contributions, one coming from the plasmonic, the other from the photonic modes. Surprisingly we find that the plasmonic contribution to the Casimir energy becomes repulsive for intermediate and large mirror separations. Alternatively, we discuss the common surface plasmon defintion, which includes only evanescent waves, where this effect is not found. We show that, in contrast to an intuitive expectation, for both definitions the Casimir energy is the sum of two very large contributions which nearly cancel each other. The contribution of surface plasmons to the Casimir energy plays a fundamental role not only at short but also at large distances.

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