Collective excitation of Bose-Einstein condensate of Bose atoms with Pöschl-Teller interaction

Abstract

We investigate the collective excitations of Bose atoms in the condensate phase with finite-range interactions, modeled using the Pöschl-Teller (PT) potential to explicitly account for the finite interaction range. Utilizing Bogoliubov theory, we derive the excitation spectrum and examine its dependence on interaction parameters. Our analysis reveals that the emergence and disappearance of the roton minima are directly influenced by the range of the PT interaction. Furthermore, we calculate the static structure factor and find enhanced correlations in the low-momentum regime, with their nature controlled by the characteristics of the PT potential. We have examined the interaction dependence of sound velocity and compressibility in detail.