Bose-condensed atomic systems with nonlocal interaction potentials

TL;DR

This paper discusses a method for accurately describing Bose-Einstein condensates with nonlocal interactions, emphasizing the importance of regularizing nonintegrable potentials like dipolar interactions to avoid unphysical results.

Contribution

It introduces a regularization approach for nonintegrable interaction potentials in Bose-Einstein condensates, ensuring well-defined Fourier transforms and physically meaningful descriptions.

Findings

Regularization of nonintegrable potentials is necessary for accurate modeling.

Unregularized potentials lead to ill-defined Fourier transforms and unphysical conclusions.

The method improves the theoretical description of dipolar Bose-Einstein condensates.

Abstract

The general approach for describing systems with Bose-Einstein condensate, where atoms interact through nonlocal pair potentials, is presented. A special attention is paid to nonintegrable potentials, such as the dipolar interaction potential. The potentials that are not absolutely integrable can have not well defined Fourier transforms. Using formally such not defined Fourier transforms leads to unphysical conclusions. For making the Fourier transform well defined, the interaction potential has to be regularized. This is illustrated by the example of dipolar interactions.