TY - JOUR AU - Michael Perlin AU - Chunlei Qu AU - Ana Maria Rey AB - We investigate many-body spin squeezing dynamics in an XXZ model with interactions that fall off with distance r as 1/rα 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 α=0 limit is achievable even when interactions are short-ranged, α>D. A region of ``collective'' behavior in which optimal squeezing grows with system size extends all the way to the α→∞ 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. BT - Physical Review Letters DA - 2020-11 DO - 10.1103/PhysRevLett.125.223401 IS - 22 N2 - We investigate many-body spin squeezing dynamics in an XXZ model with interactions that fall off with distance r as 1/rα 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 α=0 limit is achievable even when interactions are short-ranged, α>D. A region of ``collective'' behavior in which optimal squeezing grows with system size extends all the way to the α→∞ 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. PY - 2020 SE - 223401 EP - 223401 T2 - Physical Review Letters TI - Spin squeezing with short-range spin-exchange interactions VL - 125 ER -