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arXiv 1202.3400quant-phcond-mat.quant-gasphysics.atom-ph
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光晶格上强相互作用系统中孤子的量子动力学

Quantum Dynamics of Solitons in Strongly Interacting Systems on Optical Lattices

Chester P. Rubbo, Indubala I. Satija, William P. Reinhardt, Radha Balakrishnan, Ana Maria Rey, Salvatore R. Manmana

发表信息：
Phys. Rev. A 85, 053617 (2012)
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摘要：

强相互作用玻色子的平均场动力学由具有最近邻吸引的硬核玻色子描述，已被证明支持两种类型的孤子：一种是Gross-Pitaevskii（GP型），其中冷凝部分保持黑暗，一种是新的非Gross-Pitaevskii型（非GP型），其特征在于冷凝部分变亮。在这里，我们使用自适应含时密度矩阵重整化群方法研究了量子涨落对这些孤子的影响，该方法考虑了强关联的影响。我们用局域观测量作为密度、凝聚密度和关联函数以及纠缠熵来表征初态的稳定性。我们发现这两个物种的孤子是稳定的量子演化下的一个有限的持续时间，他们的容忍量子波动增强的孤子的宽度增加。我们描述了在原子玻色-爱因斯坦凝聚体、极化简并费米气体和光晶格上的极性分子系统中可能的实验实现。

英文摘要：

Mean-field dynamics of strongly interacting bosons described by hard core bosons with nearest-neighbor attraction has been shown to support two species of solitons: one of Gross-Pitaevskii (GP-type) where the condensate fraction remains dark and a novel non-Gross-Pitaevskii-type (non-GP-type) characterized by brightening of the condensate fraction. Here we study the effects of quantum fluctuations on these solitons using the adaptive time-dependent density matrix renormalization group method, which takes into account the effect of strong correlations. We use local observables as the density, condensate density and correlation functions as well as the entanglement entropy to characterize the stability of the initial states. We find both species of solitons to be stable under quantum evolution for a finite duration, their tolerance to quantum fluctuations being enhanced as the width of the soliton increases. We describe possible experimental realizations in atomic Bose Einstein Condensates, polarized degenerate Fermi gases, and in systems of polar molecules on optical lattices.

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