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arXiv 1208.3601gr-qc
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色散场的超辐射散射

Superradiant scattering of dispersive fields

Maurício Richartz, Angus Prain, Silke Weinfurtner, Stefano Liberati

摘要:

受弯曲时空中经典场论和量子场论的模拟模型及其最近的实验实现的启发,我们考虑色散场的波散射过程,表现出两个额外的自由度。特别是,我们调查如何标准的超辐射散射过程的影响,由亚光速或超光速修改的色散关系。我们分析了简单的1维玩具模型的基础上四阶校正标准的二阶波动方程,并表明,在这个过程中,可以放大的低频波撞击通用散射电位。在特定的情况下,通过假设一个简单的步骤电位,我们定量地确定由于色散而产生的放大光谱中的偏差,并证明由于存在额外的自由度,放大可以进一步增强。我们还考虑色散散射过程中,散射发生的介质是相对于观察者移动,并表明超辐射也可以表现在这种情况下。

英文摘要:

Motivated by analogue models of classical and quantum field theory in curved spacetimes and their recent experimental realizations, we consider wave scattering processes of dispersive fields exhibiting two extra degrees of freedom. In particular, we investigate how standard superradiant scattering processes are affected by subluminal or superluminal modifications of the dispersion relation. We analyze simple 1-dimensional toy-models based on fourth-order corrections to the standard second order wave equation and show that low-frequency waves impinging on generic scattering potentials can be amplified during the process. In specific cases, by assuming a simple step potential, we determine quantitatively the deviations in the amplification spectrum that arise due to dispersion, and demonstrate that the amplification can be further enhanced due to the presence of extra degrees of freedom. We also consider dispersive scattering processes in which the medium where the scattering takes place is moving with respect to the observer and show that superradiance can also be manifest in such situations.

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