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arXiv 1908.00875gr-qcphysics.optics
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光子-流体模型中的质量声子和引力动力学

Massive phonons and gravitational dynamics in a photon-fluid model

Francesco Marino

摘要:

本文从理论上研究了具有局域和非局域相互作用的光子流体的激发动力学。我们发现,局部性和无限范围的非局部性之间的相互作用产生了一个缺口Bogoliubov频谱的基本激发,在较低的动量,对应于大质量粒子(声子)的相对论能量动量关系。在这种情况下,在非均匀流的存在下,密度涨落由声学度规上的大质量克莱因-戈登方程控制,因此在弯曲时空上作为大质量标量场传播。最后,我们证明了在非相对论极限的声子模式的行为作为一个有效的薛定谔-牛顿动力学的自引力量子粒子,虽然有一个有限范围的引力相互作用和非零的宇宙学常数。我们的光子流体代表了一个可行的替代BEC模型的“紧急重力”的情况下,并提供了一个有前途的设置量子引力现象学和半经典引力的模拟模拟。

英文摘要:

We theoretically investigate the excitation dynamics in a photon-fluid with both local and nonlocal interactions. We show that the interplay between locality and an infinite-range nonlocality gives rise to a gapped Bogoliubov spectrum of elementary excitations which, at lower momenta, correspond to massive particles (phonons) with a relativistic energy-momentum relation. In this regime and in the presence of an inhomogeneous flow the density fluctuations are governed by the massive Klein-Gordon equation on the acoustic metric and thus propagate as massive scalar fields on a curved spacetime. We finally demonstrate that in the non-relativistic limit the phonon modes behave as self-gravitating quantum particles with an effective Schrödinger-Newton dynamics, although with a finite-range gravitational interaction and a non-zero cosmological constant. Our photon-fluid represents a viable alternative to BEC models for "emergent-gravity" scenarios and offers a promising setting for analogue simulations of quantum gravity phenomenology and semiclassical gravity.

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