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.
| Original language | English |
|---|---|
| Article number | L022064 |
| Journal | Physical Review Research |
| Volume | 6 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2024 |
Funding
Acknowledgments. We are indebted to A. Millis for carefully reading the manuscript. We would like to thank B. Kloss, A. Sandvik, M. Stoudenmire, S. Trebst, and S. White for insightful discussions. Flatiron Institute is a division of the Simons Foundation. B.X. acknowledge support from the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Science Center during the publication process. The work of E.K. and R.S. was supported by the Grant DE-SC-0022311, funded by the US Department of Energy, Office of Science. D.S. was supported by AFOSR Grant FA9550-21-1-0236.