Spin squeezing in dipolar spinor condensates

TL;DR

This paper investigates how dipolar interactions influence spin squeezing in spin-1 Bose-Einstein condensates, demonstrating the potential to generate highly squeezed states through dynamical evolution within a mean-field framework.

Contribution

It introduces a detailed analysis of dipolar effects on spin squeezing in spinor condensates, highlighting the dynamical generation of squeezed states and their scaling behavior.

Findings

Dipolar interactions enable dynamical spin squeezing in spinor condensates.

Maximum squeezing approaches the two-axis countertwisting limit.

Scaling of squeezing with system size is partially explained by Gaussian and frozen spin approximations.

Abstract

We study the effect of dipolar interactions on the level of squeezing in spin-1 Bose-Einstein condensates by using the single mode approximation. We limit our consideration to the $\mathfrak{su}(2)$ Lie subalgebra spanned by spin operators. The biaxial nature of dipolar interactions allows for dynamical generation of spin-squeezed states in the system. We analyze the phase portraits in the reduced mean-filed space in order to determine positions of unstable fixed points. We calculate numerically spin squeezing parameter showing that it is possible to reach the strongest squeezing set by the two-axis countertwisting model. We partially explain scaling with the system size by using the Gaussian approach and the frozen spin approximation.