Charged Bose condensate screening of hydrogenic impurities in two and three dimensions

Abstract

We study screening effects of a three- and two-dimensional charged Bose condensate on the binding energy of a hydrogenic impurity. Many-body effects are taken into account via a local-field correction. The variational method and the matrix diagonalization method are used to calculate the energies of the ground state and of excited states as functions of the condensate density. With increasing boson density the binding energies decrease and vanish at a critical density. For a given density, Bose condensate screening is found to be more efficient than electron screening and the binding energies vanish at a lower density than for electron screening.

Effect of an Impurity on Grey Soliton Dynamics in Cigar-Shaped Bose-Einstein Condensate

“…The dispersion relation is shown in Fig. (3), which also shows the same for that of the pure grey soliton for comparison. The solid line depicts the dispersion of the grey soliton in presence of an impurity, whereas, the dotted line is for pure grey soliton.…”

“…Akin to the Gross-Pitaevskii (GP) equation for Bose-Einstein condensate (BEC), these mean-field equations are well suited for describing the defect-BEC dynamics in a trap. On the theoretical side, a number of works explored the phenomenological features of BEC-impurity complex [3][4][5][6][7]. The dynamics of the BEC, trapped in an optical lattice, in presence of a localized impurity has been investigated [8].…”