Ballistic quench-induced correlation waves in ultracold gases
Ballistic quench-induced correlation waves in ultracold gases
复制标题
超冷气体中弹道淬灭引起的相关波
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
J. Bohn
中科院分区：
文献类型：
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作者：
J. Corson;J. Bohn
本文研究了一对散射长度迅速变化的粒子的波包动力学。短程相互作用在零程极限中建模，其中猝灭通过在消失粒子分离处切换波函数的边界条件来完成。这产生了一个相关波，它迅速传播到非零粒子间距。我们已经得出了普遍的，这个过程中，导致一个简单的相空间图片的猝灭诱导散射的分析结果。直觉上，关联波的强度与系统的初始接触有关。我们发现，在一个空间维度，${k}^{\ensuremath{-}4}$尾部的动量分布包含一个弹道的贡献，并不源于短程对相关，和一个类似的结论可以保持在其他维度取决于淬火协议。我们研究了一维光晶格中的猝灭诱导输运，发现半经典处理可以给出输运概率的定量准确估计。
We investigate the wave-packet dynamics of a pair of particles that undergoes a rapid change of scattering length. The short-range interactions are modeled in the zero-range limit, where the quench is accomplished by switching the boundary condition of the wave function at vanishing particle separation. This generates a correlation wave that propagates rapidly to nonzero particle separations. We have derived universal, analytic results for this process that lead to a simple phase-space picture of the quench-induced scattering. Intuitively, the strength of the correlation wave relates to the initial contact of the system. We find that, in one spatial dimension, the ${k}^{\ensuremath{-}4}$ tail of the momentum distribution contains a ballistic contribution that does not originate from short-range pair correlations, and a similar conclusion can hold in other dimensionalities depending on the quench protocol. We examine the resultant quench-induced transport in an optical lattice in one dimension, and a semiclassical treatment is found to give quantitatively accurate estimates for the transport probabilities.