腔光力学反向耗散区的模拟弯曲时空
Analog curved spacetimes in the reversed dissipation regime of cavity optomechanics
摘要：
本文从理论上提出了一个光力学方案来探讨模拟弯曲时空中光子流体的集体激发传播的可能性。为此，我们介绍了平面光机微腔和二维光机耦合系统阵列中二维光子气体的两个理论模型。在腔光学力学的反向耗散区（RDR）中，机械振荡器与其热库达到平衡的速度比腔模式快得多，机械自由度可以被自动消除。机械模式的绝热消除提供了有效的非线性克尔型光子-光子相互作用。利用非线性薛定谔方程（NLSE），我们证明了在弯曲时空中传播的无质量标量场的二维光子流体中的相位涨落服从Klein-Gordon方程.结果表明，光子流体以及相应的度规可以通过操纵系统参数来控制。
英文摘要：
In this paper, we theoretically propose an optomechanical scheme to explore the possibility of simulating the propagation of the collective excitations of the photon fluid in a curved spacetime. For this purpose, we introduce two theoretical models for two-dimensional photon gas in a planar optomechanical microcavity and a two-dimensional array of coupled optomechanical systems. In the reversed dissipation regime (RDR) of cavity optomechanics where the mechanical oscillator reaches equilibrium with its thermal reservoir much faster than the cavity modes, the mechanical degrees of freedom can adiabatically be eliminated. The adiabatic elimination of the mechanical mode provides an effective nonlinear Kerr-type photon-photon interaction. Using the nonlinear Schrödinger equation (NLSE), we show that the phase fluctuations in the two-dimensional photon fluid obey the Klein-Gordon equation for a massless scalar field propagating in a curved spacetime. The results reveal that the photon fluid as well as the corresponding metric can be controlled by manipulating the system parameters.
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