Collective Excitation of Quantum Droplet with Different Ranges of the Interaction of P\"oschl-Teller Potential

TL;DR

This paper investigates quantum droplets with P"oschl-Teller interactions, analyzing how varying the interaction range and strength affects density profiles and collective excitations, revealing the emergence of a zero-momentum gap and suppression of roton and phonon modes.

Contribution

It introduces a detailed study of quantum droplets with adjustable P"oschl-Teller interactions, highlighting the impact on excitation spectra and density variations, which is novel in the context of long-range interactions.

Findings

Long-range PT interactions suppress roton and phonon modes.

A zero-momentum gap increases with interaction range and strength.

Density profiles vary significantly with PT parameters.

Abstract

In this article, we studied quantum droplet with the P\"oschl-Teller (PT) interaction potential between the Bose atoms. The Gross-Pitaevskii (GP) equation governs the system. The range and strength of the PT interaction can be adjusted. First, we studied the quantum droplet's density variation for various PT interaction parameters by the imaginary-time split-step Crank-Nicolson (CN) method. We then used the Bogoliubov theory to examine the collective excitation spectra. We observed that sharp roton forms and phonon modes are missing during long-range interactions. There is a gap at the zero momentum zone due to the long-range PT interaction, which increases with the range and strength of the interaction.