An effective quasi-one-dimensional description of a spin-1 atomic condensate

TL;DR

This paper develops an effective quasi-one-dimensional non-polynomial Schrödinger equation for spin-1 atomic condensates, enabling accurate and efficient modeling of their dynamics in tight confinement, validated by comparison with full 3D simulations.

Contribution

It extends the NPSE approach to spin-1 condensates, providing a new simplified model that accurately captures their dynamics across interaction regimes.

Findings

Excellent agreement with 3D simulations

Effective tool for experimental analysis

Applicable to both weak and strong interactions

Abstract

Within the mean field theory we extend the effective quasi-1D non-polynomial Schr\"{o}dinger equation (NPSE) approach to the description of a spin-1 atomic condensate in a tight radial confinement geometry for both weak and strong atom-atom interactions. Detailed comparisons with full time dependent 3D numerical simulations show excellent agreement as in the case of a single component scalar condensate, demonstrating our result as an efficient and effective tool for the understanding of spin-1 condensate dynamics observed in several recent experiments.