Anomalous universal adiabatic dynamics: The case of the Fredkin model
When a system is driven across a second-order quantum phase transition, the number of defects which are produced scales with the speed of the variation of the tuning parameter according to a universal law described by the Kibble-Zurek mechanism. We study a possible breakdown of this prediction provi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.L012048 |
| _version_ | 1797210542281064448 |
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| author | Gianluca Francica Luca Dell'Anna |
| author_facet | Gianluca Francica Luca Dell'Anna |
| author_sort | Gianluca Francica |
| collection | DOAJ |
| description | When a system is driven across a second-order quantum phase transition, the number of defects which are produced scales with the speed of the variation of the tuning parameter according to a universal law described by the Kibble-Zurek mechanism. We study a possible breakdown of this prediction proving that the number of defects can exhibit another universal scaling law which is still related only to the critical exponents z and ν, but differs from the Kibble-Zurek result. Finally, we provide an example, the deformed Fredkin spin chain, where this violation of the standard adiabatic dynamics can occur. |
| first_indexed | 2024-04-24T10:12:15Z |
| format | Article |
| id | doaj.art-d5b6e5b1981044309a86abbfd3ccf74e |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:12:15Z |
| publishDate | 2023-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-d5b6e5b1981044309a86abbfd3ccf74e2024-04-12T17:29:35ZengAmerican Physical SocietyPhysical Review Research2643-15642023-03-0151L01204810.1103/PhysRevResearch.5.L012048Anomalous universal adiabatic dynamics: The case of the Fredkin modelGianluca FrancicaLuca Dell'AnnaWhen a system is driven across a second-order quantum phase transition, the number of defects which are produced scales with the speed of the variation of the tuning parameter according to a universal law described by the Kibble-Zurek mechanism. We study a possible breakdown of this prediction proving that the number of defects can exhibit another universal scaling law which is still related only to the critical exponents z and ν, but differs from the Kibble-Zurek result. Finally, we provide an example, the deformed Fredkin spin chain, where this violation of the standard adiabatic dynamics can occur.http://doi.org/10.1103/PhysRevResearch.5.L012048 |
| spellingShingle | Gianluca Francica Luca Dell'Anna Anomalous universal adiabatic dynamics: The case of the Fredkin model Physical Review Research |
| title | Anomalous universal adiabatic dynamics: The case of the Fredkin model |
| title_full | Anomalous universal adiabatic dynamics: The case of the Fredkin model |
| title_fullStr | Anomalous universal adiabatic dynamics: The case of the Fredkin model |
| title_full_unstemmed | Anomalous universal adiabatic dynamics: The case of the Fredkin model |
| title_short | Anomalous universal adiabatic dynamics: The case of the Fredkin model |
| title_sort | anomalous universal adiabatic dynamics the case of the fredkin model |
| url | http://doi.org/10.1103/PhysRevResearch.5.L012048 |
| work_keys_str_mv | AT gianlucafrancica anomalousuniversaladiabaticdynamicsthecaseofthefredkinmodel AT lucadellanna anomalousuniversaladiabaticdynamicsthecaseofthefredkinmodel |