论文标题
谐波相互作用粒子的两体淬灭动力学
Two-body quench dynamics of harmonically trapped interacting particles
论文作者
论文摘要
我们考虑在三维各向同性陷阱中一对相互作用原子的量子演变，其中相互作用强度从一个值淬灭到另一个值。使用静态问题的精确解，我们能够评估时间依赖性可观察到的物品，例如初始状态和最终状态之间的重叠以及两个原子之间的分离的期望值。如果将相互作用从非相互作用制度淬灭到强烈相互作用的制度，反之亦然，我们能够获得分析结果。在检查初始状态和最终状态之间的重叠时，我们表明，当相互作用从非相互作用到强烈相互作用方案时，早期时间依赖动力学与单个杂质多体型限制的理论工作一致。当系统从强烈的与非相互作用方向淬灭时，我们可以预测两个原子之间的分离中的较大振荡，这是由于相互作用电位的零范围性质引起的对数差异引起的。
We consider the quantum evolution of a pair of interacting atoms in a three dimensional isotropic trap where the interaction strength is quenched from one value to another. Using exact solutions of the static problem we are able to evaluate time-dependent observables such as the overlap between initial and final states and the expectation value of the separation between the two atoms. In the case where the interaction is quenched from the non-interacting regime to the strongly interacting regime, or vice versa, we are able to obtain analytic results. Examining the overlap between the initial and final states we show that when the interaction is quenched from the non-interacting to strongly interacting regimes the early time dependence dynamics are consistent with theoretical work in the single impurity many-body limit. When the system is quenched from the strongly to non-interacting regime we predict large oscillations in the separation between the two atoms, which arises from a logarithmic divergence due to the zero-range nature of the interaction potential.
