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arXiv 2006.09771cond-mat.quant-gas
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玻色-玻色混合物中排斥极化子的呼吸模

Breathing modes of repulsive polarons in Bose-Bose mixtures

Abdelaali Boudjemaa, Nadia Guebli, Mohammed Sekmane, Sofyan Khlifa-Karfa

摘要:

本文研究了准一维双组分玻色-爱因斯坦凝聚体中的杂质原子。通过数值求解耦合的Gross-Pitaevskii方程,研究了杂质和玻色物质之间的排斥耦合对系统平衡的影响。我们的研究结果表明,杂质的存在可能会导致一个不可混溶的相变由于杂质和两个冷凝物的相互作用。在Bogoliubov-de Gennes方程的范围内,我们计算了由于不同类型的相互作用引起的量子涨落。本文采用变分法和数值方法,在混溶情形下,深入讨论了均匀和非均匀二元凝聚体中谐波捕获杂质的呼吸模式和时间演化。我们特别表明,自陷,可折叠性和被困玻色混合物的不均匀性可能会强烈修改的低位激发和杂质的动力学性质。均匀玻色混合物中声子的存在引起杂质宽度呼吸振荡的阻尼。

英文摘要:

We consider impurity atoms embedded in a two-component Bose-Einstein condensate in a quasi-one dimensional regime. We study the effects of repulsive coupling between the impurities and Bose species on the equilibrium of the system for both miscible and immiscible mixtures by numerically solving the underlying coupled Gross-Pitaevskii equations. Our results reveal that the presence of impurities may lead to a miscible-immiscible phase transition due to the interaction of the impurities and the two condensates. Within the realm of the Bogoliubov-de Gennes equations we calculate the quantum fluctuations due to the different types of interactions. The breathing modes and the time evolution of harmonically trapped impurities in both homogeneous and inhomogeneous binary condensates are deeply discussed in the miscible case using variational and numerical means. We show in particular that the self-trapping, the miscibility and the inhomogeneity of the trapped Bose mixture may strongly modify the low-lying excitations and the dynamical properties of impurities. The presence of phonons in the homogeneous Bose mixture gives rise to the damping of breathing oscillations of impurities width.

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