One-dimensional description of a Bose-Einstein condensate in a rotating closed-loop waveguide

TL;DR

This paper develops a method to simplify the three-dimensional Schrödinger equation for atoms in a rotating waveguide into an effective one-dimensional form, considering atomic interactions, and explores applications to optical tweezer-based waveguides.

Contribution

It introduces a general reduction procedure for the Schrödinger equation in rotating waveguides, including atomic interactions, and discusses applications to optical tweezer-based atomic waveguides.

Findings

Effective 1D equation derived for rotating waveguides

Inclusion of mean-field atomic interactions in the model

Application to optical tweezer-based atomic waveguides

Abstract

We propose a general procedure for reducing the three-dimensional Schrodinger equation for atoms moving along a strongly confining atomic waveguide to an effective one-dimensional equation. This procedure is applied to the case of a rotating closed-loop waveguide. The possibility of including mean-field atomic interactions is presented. Application of the general theory to characterize a new concept of atomic waveguide based on optical tweezers is finally discussed.