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.

中文翻译：

---

模拟重力模型中黑洞和白洞层位的形成动力学

我们调查限制在（准）一维陷阱中的玻色气体中声层的形成动力学。该系统是模拟重力范式最有前途的实现之一，并且已经通过实验成功地进行了研究。利用一维，硬核Bose模型（Tonks–Girardeau气体）的精确解，我们显示出通过打开阶跃电势，可以是声波，类似黑洞的视界或黑/白根据流体的初始速度可以形成一对孔。我们的仿真从未提出过形成孤立的白洞视界的方法，尽管已经找到了具有这些性质的动力学方程的稳定的固定解。此外，我们证明了基于Gross–Pitaevskii方程的半经典动力学，