Slow thermalization of exact quantum many-body scar states under perturbations
Quantum many-body scar states are exceptional finite energy density eigenstates in an otherwise thermalizing system that do not satisfy the eigenstate thermalization hypothesis. We investigate the fate of exact many-body scar states under perturbations. At small system sizes, deformed scar states de...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-07-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033044 |
| _version_ | 1797211315760005120 |
|---|---|
| author | Cheng-Ju Lin Anushya Chandran Olexei I. Motrunich |
| author_facet | Cheng-Ju Lin Anushya Chandran Olexei I. Motrunich |
| author_sort | Cheng-Ju Lin |
| collection | DOAJ |
| description | Quantum many-body scar states are exceptional finite energy density eigenstates in an otherwise thermalizing system that do not satisfy the eigenstate thermalization hypothesis. We investigate the fate of exact many-body scar states under perturbations. At small system sizes, deformed scar states described by perturbation theory survive. However, we argue for their eventual thermalization in the thermodynamic limit from the finite-size scaling of the off-diagonal matrix elements. Nevertheless, we show numerically and analytically that the nonthermal properties of the scars survive for a parametrically long time in quench experiments. We present a rigorous argument that lower bounds the thermalization time for any scar state as t^{*}∼O(λ^{−1/(1+d)}), where d is the spatial dimension of the system and λ is the perturbation strength. |
| first_indexed | 2024-04-24T10:24:32Z |
| format | Article |
| id | doaj.art-1be882c4e2324c3c8b9e1375d51f9390 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:24:32Z |
| publishDate | 2020-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-1be882c4e2324c3c8b9e1375d51f93902024-04-12T16:56:52ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303304410.1103/PhysRevResearch.2.033044Slow thermalization of exact quantum many-body scar states under perturbationsCheng-Ju LinAnushya ChandranOlexei I. MotrunichQuantum many-body scar states are exceptional finite energy density eigenstates in an otherwise thermalizing system that do not satisfy the eigenstate thermalization hypothesis. We investigate the fate of exact many-body scar states under perturbations. At small system sizes, deformed scar states described by perturbation theory survive. However, we argue for their eventual thermalization in the thermodynamic limit from the finite-size scaling of the off-diagonal matrix elements. Nevertheless, we show numerically and analytically that the nonthermal properties of the scars survive for a parametrically long time in quench experiments. We present a rigorous argument that lower bounds the thermalization time for any scar state as t^{*}∼O(λ^{−1/(1+d)}), where d is the spatial dimension of the system and λ is the perturbation strength.http://doi.org/10.1103/PhysRevResearch.2.033044 |
| spellingShingle | Cheng-Ju Lin Anushya Chandran Olexei I. Motrunich Slow thermalization of exact quantum many-body scar states under perturbations Physical Review Research |
| title | Slow thermalization of exact quantum many-body scar states under perturbations |
| title_full | Slow thermalization of exact quantum many-body scar states under perturbations |
| title_fullStr | Slow thermalization of exact quantum many-body scar states under perturbations |
| title_full_unstemmed | Slow thermalization of exact quantum many-body scar states under perturbations |
| title_short | Slow thermalization of exact quantum many-body scar states under perturbations |
| title_sort | slow thermalization of exact quantum many body scar states under perturbations |
| url | http://doi.org/10.1103/PhysRevResearch.2.033044 |
| work_keys_str_mv | AT chengjulin slowthermalizationofexactquantummanybodyscarstatesunderperturbations AT anushyachandran slowthermalizationofexactquantummanybodyscarstatesunderperturbations AT olexeiimotrunich slowthermalizationofexactquantummanybodyscarstatesunderperturbations |