Rydberg dressing of a one-dimensional Bose-Einstein condensate

TL;DR

This paper investigates how Rydberg dressing affects a one-dimensional Bose-Einstein condensate, demonstrating advantages of 1D geometry and modeling the interaction effects both analytically and numerically.

Contribution

It provides a detailed analysis of Rydberg dressing in 1D BECs, including experimental considerations and an effective model for the modified interactions.

Findings

Rydberg dressing modifies the effective s-wave scattering length.

1D geometry enhances observation of Rydberg dressing effects.

Analytical and numerical models agree under realistic conditions.

Abstract

We study the influence of Rydberg dressed interactions in a one-dimensional (1D) Bose-Einstein Condensate (BEC). We show that a 1D geometry offers several advantages over 3D for observing BEC Rydberg dressing. The effects of dressing are studied by investigating collective BEC dynamics after a rapid switch-off of the Rydberg dressing interaction. The results can be interpreted as an effective modification of the s-wave scattering length. We include this modification in an analytical model for the 1D BEC, and compare it to numerical calculations of Rydberg dressing under realistic experimental conditions.