Spin squeezing with short-range spin-exchange interactions

TL;DR

This paper explores how many-body spin squeezing can be achieved in systems with short-range interactions, revealing regimes where significant squeezing is possible even with interactions that decay rapidly with distance.

Contribution

It demonstrates that spin squeezing comparable to infinite-range interactions can occur in short-range XXZ models, extending the understanding of collective quantum behavior.

Findings

Significant spin squeezing is achievable with short-range interactions in certain regimes.

Optimal squeezing can grow with system size even for interactions decaying faster than the spatial dimension.

Predictions are validated using the discrete truncated Wigner approximation and are experimentally testable.

Abstract

We investigate many-body spin squeezing dynamics in an XXZ model with interactions that fall off with distance $r$ as $1/r^\alpha$ in $D=2$ and $3$ spatial dimensions. In stark contrast to the Ising model, we find a broad parameter regime where spin squeezing comparable to the infinite-range $\alpha=0$ limit is achievable even when interactions are short-ranged, $\alpha>D$. A region of "collective" behavior in which optimal squeezing grows with system size extends all the way to the $\alpha\to\infty$ limit of nearest-neighbor interactions. Our predictions, made using the discrete truncated Wigner approximation (DTWA), are testable in a variety of experimental cold atomic, molecular, and optical platforms.