Probing the out-of-equilibrium dynamics of two interacting atoms
Probing the out-of-equilibrium dynamics of two interacting atoms
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DOI：
10.1103/physreva.94.063620
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发表时间：
2016-12-19
影响因子：
2.9
通讯作者：
Fogarty, Thomas
中科院分区：
文献类型：
--
作者：
Keller, Tim;Fogarty, Thomas
我们研究了在一维谐波阱中两个相互作用的原子被一个紧钉的杂质原子猝灭后的失平衡动力学。我们使用一种近似变分计算称为拉格朗日网格法来求解作为粒子间相互作用和杂质淬火强度函数的薛定谔方程。我们通过计算洛施密特回波来研究非平衡动力学，它量化了系统在淬灭后的不可逆性，而它在长时间后的概率分布可以用来识别不同的动力学状态。这些量与描述完整动力谱的谱函数有关，我们通过对参数空间的彻底检查表明存在不同的散射状态和集体振荡。这项工作证明了这些动力学是如何强烈地依赖于原子之间的相互作用强度的，并且可以调整以观察在少体系统中正交突变的建立。
We study the out-of-equilibrium dynamics of two interacting atoms in a one-dimensional harmonic trap after a quench by a tightly pinned impurity atom. We make use of an approximate variational calculation called the Lagrange-mesh method to solve the Schrodinger equation as a function of interparticle interaction and impurity quench strength. We investigate the out-of-equilibrium dynamics by calculating the Loschmidt echo which quantifies the irreversibility of the system following the quench, while its probability distribution after long times can be used to identify distinct dynamical regimes. These quantities are related to the spectral function which describes the full dynamical spectrum, and we show through a thorough examination of the parameter space the existence of distinct scattering states and collective oscillations. This work demonstrates how these dynamics are strongly dependent on the interaction strength between the atoms and may be tuned to observe the establishment of the orthogonality catastrophe in few-body systems.