On thermalization in the SYK and supersymmetric SYK models
Abstract The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum chaos is often seen as a strong indication that th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2018)142 |
| _version_ | 1828156645846286336 |
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| author | Nicholas Hunter-Jones Junyu Liu Yehao Zhou |
| author_facet | Nicholas Hunter-Jones Junyu Liu Yehao Zhou |
| author_sort | Nicholas Hunter-Jones |
| collection | DOAJ |
| description | Abstract The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum chaos is often seen as a strong indication that the ansatz holds true. In this paper, we address the thermalization of energy eigenstates in the Sachdev-Ye-Kitaev model, a maximally chaotic model of strongly-interacting Majorana fermions. We numerically investigate eigenstate thermalization for specific few-body operators in the original SYK model as well as its N $$ \mathcal{N} $$ = 1 supersymmetric extension and find evidence that these models satisfy ETH. We discuss the implications of ETH for a gravitational dual and the quantum information-theoretic properties of SYK it suggests. |
| first_indexed | 2024-04-11T23:14:38Z |
| format | Article |
| id | doaj.art-b28f0b9b16cb41c7bc88b8ea3d360665 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T23:14:38Z |
| publishDate | 2018-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b28f0b9b16cb41c7bc88b8ea3d3606652022-12-22T03:57:40ZengSpringerOpenJournal of High Energy Physics1029-84792018-02-012018212410.1007/JHEP02(2018)142On thermalization in the SYK and supersymmetric SYK modelsNicholas Hunter-Jones0Junyu Liu1Yehao Zhou2Institute for Quantum Information and Matter, California Institute of TechnologyWalter Burke Institute for Theoretical Physics, California Institute of TechnologyPerimeter Institute for Theoretical PhysicsAbstract The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum chaos is often seen as a strong indication that the ansatz holds true. In this paper, we address the thermalization of energy eigenstates in the Sachdev-Ye-Kitaev model, a maximally chaotic model of strongly-interacting Majorana fermions. We numerically investigate eigenstate thermalization for specific few-body operators in the original SYK model as well as its N $$ \mathcal{N} $$ = 1 supersymmetric extension and find evidence that these models satisfy ETH. We discuss the implications of ETH for a gravitational dual and the quantum information-theoretic properties of SYK it suggests.http://link.springer.com/article/10.1007/JHEP02(2018)1422D GravityAdS-CFT CorrespondenceBlack HolesRandom Systems |
| spellingShingle | Nicholas Hunter-Jones Junyu Liu Yehao Zhou On thermalization in the SYK and supersymmetric SYK models Journal of High Energy Physics 2D Gravity AdS-CFT Correspondence Black Holes Random Systems |
| title | On thermalization in the SYK and supersymmetric SYK models |
| title_full | On thermalization in the SYK and supersymmetric SYK models |
| title_fullStr | On thermalization in the SYK and supersymmetric SYK models |
| title_full_unstemmed | On thermalization in the SYK and supersymmetric SYK models |
| title_short | On thermalization in the SYK and supersymmetric SYK models |
| title_sort | on thermalization in the syk and supersymmetric syk models |
| topic | 2D Gravity AdS-CFT Correspondence Black Holes Random Systems |
| url | http://link.springer.com/article/10.1007/JHEP02(2018)142 |
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