Bose polaron in spherical trap potentials: Spatial structure and quantum depletion
Abstract
We investigate how the presence of a localized impurity in a Bose-Einstein condensate of trapped cold atoms that interact with each other weakly and repulsively affects the profile of the condensed and excited components at zero temperature. By solving the Gross-Pitaevskii and Bogoliubov-de Gennes equations, we find that an impurity-boson contact attraction (repulsion) causes both components to change in spatial structure in such a way as to be enhanced (suppressed) around the impurity, while slightly declining (growing) in a far region from the impurity. Such behavior of the quantum depletion of the condensate can be understood by decomposing the impurity-induced change in the profile of the excited component with respect to the radial and azimuthal quantum number. A significant role of the centrifugal potential and the "hole" excitation level is thus clarified.
Cite
@article{arxiv.1904.08799,
title = {Bose polaron in spherical trap potentials: Spatial structure and quantum depletion},
author = {Junichi Takahashi and Ryosuke Imai and Eiji Nakano and Kei Iida},
journal= {arXiv preprint arXiv:1904.08799},
year = {2019}
}
Comments
9 pages, 7 figures