Quantum De Laval Nozzle: Stability And Quantum Dynamics Of Sonic Horizons In A Toroidally Trapped Bose Gas Containing A superflow.
Quantum De Laval Nozzle: Stability And Quantum Dynamics Of Sonic Horizons In A Toroidally Trapped Bose Gas Containing A superflow.
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DOI：
10.1103/physreva.76.023617
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发表时间：
2007-05
影响因子：
2.9
通讯作者：
P. Jain;Ashton S. Bradley;C. Gardiner
中科院分区：
文献类型：
--
作者：
P. Jain;Ashton S. Bradley;C. Gardiner
我们研究了一个实验上可实现的包含稳定的黑洞-白洞声学视界的玻色-爱因斯坦凝聚体--量子de拉瓦尔喷管。我们用数值方法获得了稳定的流动配置，并使用Bogoliubov理论评估了它们的稳定性，发现在流体动力学和非流体动力学机制中，存在与引力霍金效应类似的正能量和负能量准粒子对的产生相关的动态不稳定区域。动力学不稳定性的形式是Bogoliubov模式的共振对之间的双模压缩相互作用。我们用截断Wigner方法研究了动力学不稳定流的演化，证实了低缠绕数下类似Hawking效应的双模压缩态图像。
We study an experimentally realizable system containing stable black hole–white hole acoustic horizons in toroidally trapped Bose-Einstein condensates—the quantum de Laval nozzle. We numerically obtain stationary flow configurations and assess their stability using Bogoliubov theory, finding both in hydrodynamic and nonhydrodynamic regimes there exist dynamically unstable regions associated with the creation of positive and negative energy quasiparticle pairs in analogy with the gravitational Hawking effect. The dynamical instability takes the form of a two mode squeezing interaction between resonant pairs of Bogoliubov modes. We study the evolution of dynamically unstable flows using the truncated Wigner method, which confirms the two mode squeezed state picture of the analogue Hawking effect for low winding number.