Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent Hartree method for bosons

Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent Hartree method for bosons
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超冷原子混合物的非平衡量子动力​​学:玻色子的多层多构型时间相关Hartree方法

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发表时间:
2013
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通讯作者:
P. Schmelcher
P. Schmelcher
中科院分区:
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作者:
S. Krönke;Lushuai Cao;O. Vendrell;P. Schmelcher

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发展并应用了多层多组态含时Hartree方法,该方法是研究多粒子玻色子系统非平衡量子动力学的一种从头算方法.它的多层特征允许定制的波函数animals描述内和物种间的相关性准确和有效。为了证明有益的缩放和效率的方法,我们探讨了相关的隧道动力学的两个物种的排斥内和物种间的相互作用,其中第三个物种消失的物种间的相互作用是弱耦合。前两个物种的种群不平衡可以具有时间平衡的特征,并且它们的时间演化显著地依赖于与第三物种的耦合。第一种和第二种玻色子表现出聚束的趋势,其强度可以通过它们与第三种玻色子的耦合来影响。
We develop and apply the multi-layer multi-configuration time-dependent Hartree method for bosons, which represents an ab initio method for investigating the non-equilibrium quantum dynamics of multi-species bosonic systems. Its multi-layer feature allows for tailoring the wave function ansatz to describe intra- and inter-species correlations accurately and efficiently. To demonstrate the beneficial scaling and efficiency of the method, we explored the correlated tunneling dynamics of two species with repulsive intra- and inter-species interactions, to which a third species with vanishing intra-species interaction was weakly coupled. The population imbalances of the first two species can feature a temporal equilibration and their time evolution significantly depends on the coupling to the third species. Bosons of the first and second species exhibit a bunching tendency, whose strength can be influenced by their coupling to the third species.