From integrability to chaos in quantum Liouvillians
The dynamics of open quantum systems can be described by a Liouvillian, which in the Markovian approximation fulfills the Lindblad master equation. We present a family of integrable many-body Liouvillians based on Richardson-Gaudin models with a complex structure of the jump operators. Making use of...
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| Format: | Article |
| Language: | English |
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SciPost
2022-05-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.5.2.026 |
| _version_ | 1817981441761345536 |
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| author | Álvaro Rubio-García, Rafael A. Molina, Jorge Dukelsky |
| author_facet | Álvaro Rubio-García, Rafael A. Molina, Jorge Dukelsky |
| author_sort | Álvaro Rubio-García, Rafael A. Molina, Jorge Dukelsky |
| collection | DOAJ |
| description | The dynamics of open quantum systems can be described by a Liouvillian, which in the Markovian approximation fulfills the Lindblad master equation. We present a family of integrable many-body Liouvillians based on Richardson-Gaudin models with a complex structure of the jump operators. Making use of this new region of integrability, we study the transition to chaos in terms of a two-parameter Liouvillian. The transition is characterized by the spectral statistics of the complex eigenvalues of the Liouvillian operators using the nearest neighbor spacing distribution and by the ratios between eigenvalue distances. |
| first_indexed | 2024-04-13T23:07:02Z |
| format | Article |
| id | doaj.art-220c218100d346f19b254a4448377c8b |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-04-13T23:07:02Z |
| publishDate | 2022-05-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-220c218100d346f19b254a4448377c8b2022-12-22T02:25:40ZengSciPostSciPost Physics Core2666-93662022-05-015202610.21468/SciPostPhysCore.5.2.026From integrability to chaos in quantum LiouvilliansÁlvaro Rubio-García, Rafael A. Molina, Jorge DukelskyThe dynamics of open quantum systems can be described by a Liouvillian, which in the Markovian approximation fulfills the Lindblad master equation. We present a family of integrable many-body Liouvillians based on Richardson-Gaudin models with a complex structure of the jump operators. Making use of this new region of integrability, we study the transition to chaos in terms of a two-parameter Liouvillian. The transition is characterized by the spectral statistics of the complex eigenvalues of the Liouvillian operators using the nearest neighbor spacing distribution and by the ratios between eigenvalue distances.https://scipost.org/SciPostPhysCore.5.2.026 |
| spellingShingle | Álvaro Rubio-García, Rafael A. Molina, Jorge Dukelsky From integrability to chaos in quantum Liouvillians SciPost Physics Core |
| title | From integrability to chaos in quantum Liouvillians |
| title_full | From integrability to chaos in quantum Liouvillians |
| title_fullStr | From integrability to chaos in quantum Liouvillians |
| title_full_unstemmed | From integrability to chaos in quantum Liouvillians |
| title_short | From integrability to chaos in quantum Liouvillians |
| title_sort | from integrability to chaos in quantum liouvillians |
| url | https://scipost.org/SciPostPhysCore.5.2.026 |
| work_keys_str_mv | AT alvarorubiogarciarafaelamolinajorgedukelsky fromintegrabilitytochaosinquantumliouvillians |