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arXiv 1608.03038quant-phcond-mat.quant-gas
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探索两个相互作用原子的非平衡动力学

Probing the out-of-equilibrium dynamics of two interacting atoms

Tim Keller, Thomás Fogarty

摘要:

研究了一维谐振子势阱中相互作用原子被紧钉扎杂质原子猝灭后的非平衡动力学。我们利用一种称为拉格朗日网格法的近似变分计算来求解薛定谔方程作为粒子间相互作用和杂质猝灭强度的函数。我们调查的平衡动力学通过计算的Loschlavian回声量化的不可逆性的系统后,淬火,而它的概率分布后,很长一段时间可以用来识别不同的动力学制度。这些量与描述全动力学谱的谱函数有关,我们通过对参数空间的深入研究表明了不同散射态和集体振荡的存在。这项工作表明,这些动力学是如何强烈依赖于原子之间的相互作用强度,并可能被调整,以达到在少体系统的正交性灾难。

英文摘要:

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 Schrödinger equation as a function of inter-particle 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 reach the orthogonality catastrophe in few-body systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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