超冷原子在光晶格中形成的量子纠缠暗孤子
Quantum Entangled Dark Solitons Formed by Ultracold Atoms in Optical Lattices
摘要：
受光晶格中玻色-爱因斯坦凝聚体实验的启发，我们在玻色-哈伯德哈密顿量的背景下研究了暗孤子初始条件的量子演化。在我们的分析中使用了一组广泛的量子测量，包括冯诺依曼和广义量子熵，量子耗尽和对关联函数。我们发现，量子效应导致孤子填充。此外，孤子-孤子碰撞变得非弹性，与平均场论的预测形成强烈对比。这些特征表明，光晶格中暗孤子的寿命和碰撞特性提供了量子效应的清晰信号。
英文摘要：
Inspired by experiments on Bose-Einstein condensates in optical lattices, we study the quantum evolution of dark soliton initial conditions in the context of the Bose-Hubbard Hamiltonian. An extensive set of quantum measures is utilized in our analysis, including von Neumann and generalized quantum entropies, quantum depletion, and the pair correlation function. We find that quantum effects cause the soliton to fill in. Moreover, soliton-soliton collisions become inelastic, in strong contrast to the predictions of mean-field theory. These features show that the lifetime and collision properties of dark solitons in optical lattices provide clear signals of quantum effects.
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