Non local interactions in bose einstein condensates

Abstract

Bose Einstein Condensates BECs are treated theoretically using the mean field Gross Pitaevskii GP equation Instead of using the local 948 function psueudopotential toaccount for the symmetric s wave scattering between bosons we take an extended pseudopotential to account for the finite range of inter boson interactions Such a pseudopotential would give corrections on top of the GP equation with local interactions We first propose the energy functional for such correction terms added to the local GP equation We then study the effect of finite range of interactions on the vortex solution soliton solution and the excitation spectrum in a BEC We see that the additional length scaleemerging from the range of the inter Boson interactions plays a significant role in the aforementioned excitations newline newline