非线性光学中量子光锥涨落的模拟模型
An Analog Model for Quantum Lightcone Fluctuations in Nonlinear Optics
摘要：
我们提出了一个利用非线性量子力学模拟量子引力效应的模型。在量子引力中，时空光锥的涨落是预料之中的，这将导致脉冲飞行时间的变化。这种效应也可能出现在非线性材料中。我们提出了一个模型，在该模型中，背景电场的波动，如由压缩光子态产生的，可以引起探测脉冲的有效光锥的波动。这导致了类似于量子引力的飞行时间的变化。我们做了一些数值估计，这表明该效应可能大到足以观察到。
英文摘要：
We propose an analog model for quantum gravity effects using nonlinear dielectrics. Fluctuations of the spacetime lightcone are expected in quantum gravity, leading to variations in the flight times of pulses. This effect can also arise in a nonlinear material. We propose a model in which fluctuations of a background electric field, such as that produced by a squeezed photon state, can cause fluctuations in the effective lightcone for probe pulses. This leads to a variation in flight times analogous to that in quantum gravity. We make some numerical estimates which suggest that the effect might be large enough to be observable.
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