论文标题
在光学晶格中的一维骨化超氟中的深色孤子的半经典动力学
Semiclassical dynamics of a dark soliton in a one-dimensional bosonic superfluid in an optical lattice
论文作者
论文摘要
我们研究了截短的Wigner近似中的光学晶格中的一维bose气体中深色孤子的量子动力学。先前的工作表明，在没有量子波动的情况下，深色孤子的动力稳定性显着取决于其相扭结是否位于晶格位点还是两个相邻位点的链接。它还表明，无论相键位位置如何，深色孤子在强量子波动方面都是不稳定的。为了弥合经典和强量子方案之间的差距，我们研究了弱量子波动方案中深色孤子的动力稳定性。我们发现，随着量子波动的强度的增加，动力稳定性的位置依赖性逐渐降低，并最终消失。即使存在抛物线诱捕电位，也是孤子稳定性的经典到量子交叉。我们建议，可以将跨界行为用于实验诊断深色孤子的不稳定性是由于量子波动引起的还是经典的动力学不稳定性。
We study quantum dynamics of a dark soliton in a one-dimensional Bose gas in an optical lattice within the truncated Wigner approximation. A previous work has revealed that in the absence of quantum fluctuations, dynamical stability of the dark soliton significantly depends on whether its phase kink is located at a lattice site or a link of two neighboring sites. It has also shown that the dark soliton is unstable in a regime of strong quantum fluctuations regardless of the phase-kink position. To bridge the gap between the classical and strongly quantum regimes, we investigate the dynamical stability of the dark soliton in a regime of weak quantum fluctuations. We find that the position dependence of the dynamical stability gradually diminishes and eventually vanishes as the strength of quantum fluctuations increases. This classical-to-quantum crossover of the soliton stability remains even in the presence of a parabolic trapping potential. We suggest that the crossover behavior can be used for experimentally diagnosing whether the instability of a dark soliton is due to quantum fluctuations or classical dynamical instability.
