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arXiv 1809.01889cond-mat.quant-gasquant-ph
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一维囚禁玻色气体中杂质动力学的有效途径

Effective approach to impurity dynamics in one-dimensional trapped Bose gases

S. I. Mistakidis, A. G. Volosniev, N. T. Zinner, P. Schmelcher

摘要:

研究了玻色-杂质相互作用强度突变后,一维囚禁玻色气体中杂质原子的时间演化。我们的重点是由于谐波约束的不均匀性的影响。这些效应可以通过有效的单体模型来描述,其中质量和弹性常数都被重新归一化。这与经典的重整化相反,它只处理质量。我们提出了一个有效的单粒子哈密顿量,并应用多层多组态含时Hartree方法研究了它的有效性。数值结果表明,有效质量小于杂质质量,这意味着它不能直接提取的几何不变模型。

英文摘要:

We investigate a temporal evolution of an impurity atom in a one-dimensional trapped Bose gas following a sudden change of the boson-impurity interaction strength. Our focus is on the effects of inhomogeneity due to the harmonic confinement. These effects can be described by an effective one-body model where both the mass and the spring constant are renormalized. This is in contrast to the classic renormalization, which addresses only the mass. We propose an effective single-particle Hamiltonian and apply the multilayer multiconfiguration time-dependent Hartree method for bosons to explore its validity. Numerical results suggest that the effective mass is smaller than the impurity mass, which means that it cannot straightforwardly be extracted from translationally invariant models.

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