电介质中的Hawking效应与Hopfield模型
The Hawking effect in dielectric media and the Hopfield model
摘要：
我们考虑所谓的Hopfield模型的电磁场在一个框架中，其中一个允许的微观参数的时空依赖性，旨在时空变化的克尔效应引起的介电扰动的唯象描述的介电色散介质中。本文首先分析了Hopfield模型的几何光学，然后引入了一个简化模型来讨论模拟Hawking效应，该简化模型避免了完整Hopfield模型中的许多困难，仍然保持了相同的色散关系。振幅计算表明，广义曼利-罗恒等式推导出量子散射理论框架。我们的主要结果是在介电黑洞的框架下，首次非微扰地给出了单支情况下自发热辐射的解析计算。指出了光学黑洞和声学黑洞之间热性的普遍机制。
英文摘要：
We consider the so-called Hopfield model for the electromagnetic field in a dielectric dispersive medium in a framework in which one allows a space-time dependence of microscopic parameters, aimed to a phenomenological description of a space-time varying dielectric perturbation induced by means of the Kerr effect. We discuss the analogue Hawking effect, by first analyzing the geometrical optics for the Hopfield model, and then by introducing a simplified model which has the bonus to avoid many difficulties which are involved in the full Hopfield model, still keeping the same dispersion relation. Amplitude calculations are indicated, and generalized Manley-Rowe identities are derived in a quantum scattering theory framework. Our main result is an analytical calculation of the spontaneous thermal emission in the single-branch case, which is provided non perturbatively for the first time in the framework of dielectric black holes. An universal mechanism for thermality between optical black holes and acoustic black holes is also pointed out.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
