Publication Date
4-1-2024
Document Type
Article
Publication Title
Physical Review Research
Volume
6
Issue
2
DOI
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.
Funding Number
DE-SC-0022311
Funding Sponsor
U.S. Department of Energy
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Physics and Astronomy
Recommended Citation
Bo Xiao, Javier Robledo Moreno, Matthew Fishman, Dries Sels, Ehsan Khatami, and Richard Scalettar. "Extracting off-diagonal order from diagonal basis measurements" Physical Review Research (2024). https://doi.org/10.1103/PhysRevResearch.6.L022064
