Extracting Off-Diagonal Order from Diagonal Basis Measurements
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910559853608960 |
|---|---|
| author | Xiao, Bo Moreno, Javier Robledo Fishman, Matthew Sels, Dries Khatami, Ehsan Scalettar, Richard |
| author_facet | Xiao, Bo Moreno, Javier Robledo Fishman, Matthew Sels, Dries Khatami, Ehsan Scalettar, Richard |
| contents | 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 multi-scale 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_10565 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Extracting Off-Diagonal Order from Diagonal Basis Measurements Xiao, Bo Moreno, Javier Robledo Fishman, Matthew Sels, Dries Khatami, Ehsan Scalettar, Richard Strongly Correlated Electrons Quantum Gases 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 multi-scale 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. |
| title | Extracting Off-Diagonal Order from Diagonal Basis Measurements |
| topic | Strongly Correlated Electrons Quantum Gases |
| url | https://arxiv.org/abs/2209.10565 |