论文标题
一维玻色气中的多量子暗孤子
Multi-Quantum Dark Solitons in One-Dimensional Bose Gas
论文作者
论文摘要
量子和经典的集成系统共享共同的数学结构，其中出现的现象是相互关联的。普遍出现在经典的集成系统中的孤子也出现在量子集成系统中。在这里，我们考虑在具有排斥的三角功能相互作用的一维bose气体中的量子 - 古典对应关系，而当前与多羽状孤子相对应的量子状态。使用精确的方法，我们计算多量化的深色孤子状态中密度曲线的时间演变。在密度曲线中观察到像经典深色孤子一样行为的局部孤立波。我们观察到量子深孤子的碰撞，并表明它们表现出经典孤子的特性：由于相互作用而导致的散射和位置变化的稳定性。
Quantum and classical integrable systems share common mathematical structures, and the phenomena appearing in them are interrelated. Solitons, which universally appear in classical integrable systems, also appear in quantum integrable systems. Here, we consider quantum-classical correspondence in a one-dimensional Bose gas with repulsive delta-function interaction and present quantum states corresponding to multi-dark solitons. Using an exact method, we compute the time evolution of the density profile in the multi-quantum dark soliton states. Localized solitary waves that behave like classical dark solitons are observed in the density profile. We observe collisions of quantum dark solitons and show that they exhibit the properties of classical solitons: stability against scatterings and position shifts due to interactions.
