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  • Letter
  • Open Access

Spin squeezing with itinerant dipoles: A case for shallow lattices

David Wellnitz1,2,*, Mikhail Mamaev1,2, Thomas Bilitewski3, and Ana Maria Rey1,2

  • 1JILA, National Institute of Standards and Technology and Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
  • 2Center for Theory of Quantum Matter, University of Colorado, Boulder, Colorado 80309, USA
  • 3Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078, USA

  • *Corresponding author: david.wellnitz@colorado.edu
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Phys. Rev. Research 6, L012025 – Published 7 February, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L012025

Abstract

Entangled spin squeezed states generated via dipolar interactions in lattice models provide unique opportunities for quantum enhanced sensing and are now within reach of current experiments. A critical question in this context is which parameter regimes offer the best prospects under realistic conditions. Light scattering in deep lattices can induce significant decoherence and strong Stark shifts, while shallow lattices face motional decoherence as a fundamental obstacle. Here we analyze the interplay between motion and spin squeezing in itinerant fermionic dipoles in one dimensional chains using exact matrix product state simulations. We demonstrate that shallow lattices can achieve more than 5 dB of squeezing, outperforming deep lattices by up to more than 3 dB, even in the presence of low filling, loss, and decoherence. We relate this finding to SU(2)-symmetric superexchange interactions, which keep spins aligned and protect collective correlations. We show that the optimal regime is achieved for small repulsive off-site interactions, with a trade-off between maximal squeezing and optimal squeezing time.

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Phys. Rev. Research 6, L012025– Published 7 February, 2024
  • Received 4 January 2023
  • Revised 11 October 2023
  • Accepted 2 January 2024
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