Towards spin-squeezing in two-dimensional ensembles of solid-state defects

ORAL  · Invited

Abstract

Generating spin-squeezed states in quantum simulators with power-law interactions is a key experimental challenge with limited theoretical guidance. While numerical evidence suggests it should be possible to achieve spin squeezing with sufficiently long-range (but still energetically extensive) XXZ Hamiltonians, the precise requirements remain unclear. We conjecture an explanation for the "squeezing phase diagram" of long-range XXZ models. While squeezing in such models is dynamically generated by time evolution from simple product states, our explanation is intimately connected to the presence of finite-temperature equilibrium order in the Hamiltonian. Using a variety of numerical methods, we test our conjecture in one-dimensional models and find necessary and sufficient conditions for spin squeezing. We discuss the implications of these conditions for realizing spin-squeezing in a two-dimensional ensemble of solid-state defects coupled via magnetic dipole-dipole interactions.

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Presenters

  • Emily J Davis

    • University of California, Berkeley

Authors

  • Emily J Davis

    • University of California, Berkeley

  • Maxwell B Block

    • University of California, Berkeley

  • Bingtian Ye

    • University of California, Berkeley

  • Sabrina Chern

    • University of California, Berkeley

  • Weijie Wu

    • University of California, Berkeley

  • Simon A Meynell

    • University of California, Santa Barbara

  • Lillian Hughes

    • University of California, Santa Barbara

  • Francisco Machado

    • University of California, Berkeley

  • Zilin Wang

    • University of California, Berkeley

  • Thomas Mittiga

    • University of California, Berkeley

  • William K Schenken

    • University of California, Santa Barbara

  • Maxime Joos

    • University of California, Santa Barbara

  • Bryce H Kobrin

    • University of California, Berkeley

  • Yuanqi Lyu

    • University of California, Berkeley

  • Dolev Bluvstein

    • Harvard University

  • Soonwon Choi

    • University of California, Berkeley
    • Massachusetts Institute of Technology

  • Chong Zu

    • University of California, Berkeley

  • Ania C Jayich

    • University of California, Santa Barbara
    • University of California Santa Barbara
    • Department of Physics, University of California Santa Barbara, Santa Barbara, California 93106, USA

  • Norman Y Yao

    • University of California, Berkeley