标题： 双组分玻色-爱因斯坦凝聚体中的类随机引力现象：声锥涨落 显示英文标题

标题： Analogue stochastic gravity phenomena in two-component Bose-Einstein condensates: Sound cone fluctuations

摘要： 我们研究了在具有原子超精细态之间拉比跃迁的可调二元玻色-爱因斯坦凝聚体系统中零温冷原子凝聚体的性质。 我们利用这个系统来考察可调量子气体中的量子涨落对声子传播的影响。 我们表明该系统可以用一个无能隙声子和有能隙模式耦合的两场模型来表示，它们类似于粒子物理中的Goldstone和Higgs粒子。 然后我们进一步消去有能隙的模式，使用闭合时间路径形式给出一个有效的纯声子理论。 特别地，我们关注由于声速度量（由有能隙模式的量子涨落诱导）变化引起的声锥涨落。 这些涨落可以被解释为诱导了一种随机时空，因此被视为可能源于量子引力效应的光锥涨落的类比现象。 涨落的影响可以通过声波传播时间的变化来显示。 我们提出了相关的实验建议以讨论实验观测的可能性。 显示英文摘要

摘要： We investigate the properties of the condensates of cold atoms at zero temperature in the tunable binary Bose-Einstein condensate system with a Rabi transition between atomic hyperfine states. We use this system to examine the effect of quantum fluctuations in a tunable quantum gas on phonon propagation. We show that the system can be represented by a coupled two-field model of a gapless phonon and a gapped mode, which are analogous to the Goldstone and Higgs particles in particle physics. We then further trace out the gapped modes to give an effective purely phononic theory using closed-time-path formalism. In particular, we are interested in the sound cone fluctuations due to the variation of the speed-of-sound acoustic metric, induced by quantum fluctuations of the gapped modes. These fluctuations can be interpreted as inducing a stochastic space-time, and thus are regarded as analogue phenomena of light cone fluctuations presumably arising from quantum gravity effects. The effects of fluctuations can be displayed in the variation in the travel time of sound waves. We suggest the relevant experiments to discuss the possibility of experimental observations.