Spectral statistics of a minimal quantum glass model
Glasses have the interesting feature of being neither integrable nor fully chaotic. They thermalize quickly within a subspace but thermalize much more slowly across the full space due to high free energy barriers which partition the configuration space into sectors. Past works have examined the Rose...
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| Format: | Article |
| Language: | English |
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SciPost
2023-09-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.15.3.084 |
| _version_ | 1797690555601256448 |
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| author | Richard Barney, Michael Winer, Christopher L. Baldwin, Brian Swingle, Victor Galitski |
| author_facet | Richard Barney, Michael Winer, Christopher L. Baldwin, Brian Swingle, Victor Galitski |
| author_sort | Richard Barney, Michael Winer, Christopher L. Baldwin, Brian Swingle, Victor Galitski |
| collection | DOAJ |
| description | Glasses have the interesting feature of being neither integrable nor fully chaotic. They thermalize quickly within a subspace but thermalize much more slowly across the full space due to high free energy barriers which partition the configuration space into sectors. Past works have examined the Rosenzweig-Porter (RP) model as a minimal quantum model which transitions from localized to chaotic behavior. In this work we generalize the RP model in such a way that it becomes a minimal model which transitions from glassy to chaotic behavior, which we term the "Block Rosenzweig-Porter" (BRP) model. We calculate the spectral form factors of both models at all timescales larger than the inverse spectral width. Whereas the RP model exhibits a crossover from localized to ergodic behavior at the Thouless timescale, the new BRP model instead crosses over from glassy to fully chaotic behavior, as seen by a change in the steepness of the ramp of the spectral form factor. |
| first_indexed | 2024-03-12T02:01:02Z |
| format | Article |
| id | doaj.art-2e4fad75aa2b4cec8a00f35e38722d9c |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-12T02:01:02Z |
| publishDate | 2023-09-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-2e4fad75aa2b4cec8a00f35e38722d9c2023-09-07T14:01:55ZengSciPostSciPost Physics2542-46532023-09-0115308410.21468/SciPostPhys.15.3.084Spectral statistics of a minimal quantum glass modelRichard Barney, Michael Winer, Christopher L. Baldwin, Brian Swingle, Victor GalitskiGlasses have the interesting feature of being neither integrable nor fully chaotic. They thermalize quickly within a subspace but thermalize much more slowly across the full space due to high free energy barriers which partition the configuration space into sectors. Past works have examined the Rosenzweig-Porter (RP) model as a minimal quantum model which transitions from localized to chaotic behavior. In this work we generalize the RP model in such a way that it becomes a minimal model which transitions from glassy to chaotic behavior, which we term the "Block Rosenzweig-Porter" (BRP) model. We calculate the spectral form factors of both models at all timescales larger than the inverse spectral width. Whereas the RP model exhibits a crossover from localized to ergodic behavior at the Thouless timescale, the new BRP model instead crosses over from glassy to fully chaotic behavior, as seen by a change in the steepness of the ramp of the spectral form factor.https://scipost.org/SciPostPhys.15.3.084 |
| spellingShingle | Richard Barney, Michael Winer, Christopher L. Baldwin, Brian Swingle, Victor Galitski Spectral statistics of a minimal quantum glass model SciPost Physics |
| title | Spectral statistics of a minimal quantum glass model |
| title_full | Spectral statistics of a minimal quantum glass model |
| title_fullStr | Spectral statistics of a minimal quantum glass model |
| title_full_unstemmed | Spectral statistics of a minimal quantum glass model |
| title_short | Spectral statistics of a minimal quantum glass model |
| title_sort | spectral statistics of a minimal quantum glass model |
| url | https://scipost.org/SciPostPhys.15.3.084 |
| work_keys_str_mv | AT richardbarneymichaelwinerchristopherlbaldwinbrianswinglevictorgalitski spectralstatisticsofaminimalquantumglassmodel |