The spin evolution of spin-3 $^{52}$Cr Bose-Einstein condensate

TL;DR

This paper presents a theoretical study of the spin evolution in a small Bose-Einstein condensate of spin-3 $^{52}$Cr atoms, focusing on the effects of initial state choices and approximations to evaluate interaction parameters.

Contribution

It introduces a theoretical approach that goes beyond mean field theory to analyze spin dynamics in a small, carefully prepared $^{52}$Cr BEC, reducing common approximation errors.

Findings

Numerical results help estimate the unknown interaction strength $g_0$.

The study demonstrates the impact of initial state symmetry on spin evolution.

The approach minimizes deviations from single-mode and dipole approximations.

Abstract

The spin evolution of a Bose-Einstein condensate starting from a mixture of two or three groups of $^{52}$Cr (spin-3) atoms in an optical trap has been studied theoretically. The initial state is so chosen that the system does not distinguish up and down. In this choice, the deviation caused by the single-mode approximation is reduced. Moreover, since the particle number is given very small (N=20), the deviation caused by the neglect of the long-range dipole force is also reduced. Making use of these two simplifications, a theoretical calculation beyond the mean field theory is performed. The numerical results are help to evaluate the unknown strength $g_0$.