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  • Letter
  • Open Access

Extracting off-diagonal order from diagonal basis measurements

Bo Xiao1,*, Javier Robledo Moreno1,2,†, Matthew Fishman1, Dries Sels1,2, Ehsan Khatami3, and Richard Scalettar4

  • *Present address: Quantum Science Center, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA; bxiao@flatironinstitute.org
  • †jrm874@nyu.edu
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Phys. Rev. Research 6, L022064 – Published 17 June, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L022064

Abstract

Quantum gas microscopy has developed into a powerful tool to explore strongly correlated quantum systems. However, discerning phases with topological or off-diagonal long range order requires the ability to extract these correlations from site-resolved measurements. Here, we show that a multiscale complexity measure can pinpoint the transition to and from the bond ordered wave phase of the one-dimensional extended Hubbard model with an off-diagonal order parameter, sandwiched between diagonal charge and spin density wave phases, using only diagonal descriptors. We study the model directly in the thermodynamic limit using the recently developed variational uniform matrix product states algorithm, and draw our samples from degenerate ground states related by global spin rotations, emulating the projective measurements that are accessible in experiments. Our results will have important implications for the study of exotic phases using optical lattice experiments.

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Phys. Rev. Research 6, L022064– Published 17 June, 2024
  • Received 14 October 2022
  • Revised 11 November 2023
  • Accepted 28 March 2024
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