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

Effective approach to impurity dynamics in one-dimensional trapped Bose gases
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一维俘获玻色气体中杂质动力学的有效方法

DOI:
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发表时间:
2018
期刊:
影响因子:
2.9
通讯作者:
P. Schmelcher
P. Schmelcher
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Mistakidis;A. Volosniev;N. Zinner;P. Schmelcher

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研究了一维囚禁玻色气体中杂质原子的猝灭动力学。我们的重点是探讨由于谐波约束一般存在于当前的冷原子实验的不均匀性的影响。我们表明,不均匀性可以考虑一个有效的单体模型的质量和弦常数重整化。这与经典的重正化只处理质量相反。提出了一种有效的单粒子哈密顿量,并利用玻色子的多层多组态含时Hartree方法对其有效性进行了研究。数值模拟表明,存在两个参数的制度,我们称之为“混相”和“不混相”。我们的单体描述对前者是有效的,但必须修改后的政权。重要的是,事实证明,“极化子”的质量小于杂质质量,这意味着它不能直接从几何不变模型中提取出来。
We investigate the quench dynamics of impurity atoms in a one-dimensional trapped Bose gas. Our focus is to explore the effects of inhomogeneity due to the harmonic confinement generally present in current cold-atom experiments. We show that inhomogeneity can be taken into account by an effective one-body model where both the mass and the string constant are renormalized. This is in contrast to the classic renormalization which addresses only the mass. We propose an effective single particle Hamiltonian and use the multi-layer multi-configuration time-dependent Hartree method for bosons to explore its validity. The numerical simulations reveal that there exist two parameter regimes, which we call the `miscible phase' and `immiscible phase'. Our one-body description is valid for the former but must be modified for the latter regime. Importantly, it turns out that the mass of the `polaron' is smaller than the impurity mass, which means that it cannot straightforwardly be extracted from translationally-invariant models.
DOI: 10.1209/0295-5075/82/30004
发表时间: 2008-05-01
期刊: EPL
影响因子: 1.8
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