Optimization as a route towards observing the Einstein-de Haas effect in a rubidium condensate

TL;DR

This paper proposes an optimized magnetic field control method to facilitate the experimental observation of the Einstein-de Haas effect in rubidium Bose-Einstein condensates, overcoming previous magnetic field precision challenges.

Contribution

It introduces a numerical optimization approach for magnetic fields that enables the transfer of atoms between Zeeman states, making the Einstein-de Haas effect observable in rubidium condensates.

Findings

Significant atom transfer achieved with optimized magnetic fields.

Magnetic fields of tens of milligauss can induce the effect.

Proposed experimental scheme for observing the effect.

Abstract

The main obstacle in experimental realization of the Einstein-de Haas effect in a Bose-Einstein condensate is necessity of a very precise control of the extremely small (of the order of tens of $\mu$G) external magnetic field. In this paper we numerically study the response of a rubidium condensate to an optimized time-dependent magnetic field. We find a significant transfer of atoms from the initial maximally polarized state to the next Zeeman component at magnetic fields of the order of tens of milligauss. We propose an experiment in which such an optimization scheme could enable the observation of the Einstein-de Haas effect in a rubidium atom condensate.