论文标题
在模型模型中黑色和白孔地平线的形成动力学
Formation dynamics of black- and white-hole horizons in an analogue gravity model
论文作者
论文摘要
我们研究了限制在（准）一维陷阱中的bose气体中的声层的形成动力学。该系统是模拟重力范式的最有希望的实现之一，并且已经成功地研究了实验。利用一维，硬核，玻色模型（Tonks-Girardeau气体）的精确解决方案，我们表明，通过打开台阶电位，可以根据流体的初始速度来形成声音（黑洞状）地平线或黑色/白孔对。我们的模拟从未暗示形成孤立的白孔地平线，尽管在分析上发现了具有这些特性的动力学方程的稳定固定解。此外，我们表明，基于毛比特人方程的半经典动力学仅在完全亚音速流的情况下符合精确的解决方案，而表现出超音速过渡的固定溶液从未动态地达到。
We investigate the formation dynamics of sonic horizons in a Bose gas confined in a (quasi) one-dimensional trap. This system is one of the most promising realizations of the analogue gravity paradigm and has already been successfully studied experimentally. Taking advantage of the exact solution of the one-dimensional, hard-core, Bose model (Tonks-Girardeau gas) we show that, by switching on a step potential, either a sonic (black-hole-like) horizon or a black/white hole pair may form, according to the initial velocity of the fluid. Our simulations never suggest the formation of an isolated white-hole horizon, although a stable stationary solution of the dynamical equations with those properties is analytically found. Moreover, we show that the semiclassical dynamics, based on the Gross-Pitaevskii equation, conforms to the exact solution only in the case of fully subsonic flows while a stationary solution exhibiting a supersonic transition is never reached dynamically.
