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26 April 2024
 
  » arxiv » 2006.0723

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Spin squeezing with short-range spin-exchange interactions
Michael A. Perlin ; Chunlei Qu ; Ana Maria Rey ;
Date 1 Jun 2020
AbstractWe 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 $alpha oinfty$ limit of nearest-neighbor interactions, where achievable squeezing is primarily limited by the coherence time of a system. We identify the boundary between collective and Ising-limited squeezing behaviors with a dynamical phase transition between regions of parametrically distinct entanglement growth. Our predictions are testable in a variety of experimental cold atomic, molecular, and optical platforms.
Source arXiv, 2006.0723
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