Universal constraints on energy flow and SYK thermalization
Abstract We study the dynamics of a quantum system in thermal equilibrium that is suddenly coupled to a bath at a different temperature, a situation inspired by a particular black hole evaporation protocol. We prove a universal positivity bound on the integrated rate of change of the system energy w...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2024)034 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850129833251569664 |
|---|---|
| author | Ahmed Almheiri Alexey Milekhin Brian Swingle |
| author_facet | Ahmed Almheiri Alexey Milekhin Brian Swingle |
| author_sort | Ahmed Almheiri |
| collection | DOAJ |
| description | Abstract We study the dynamics of a quantum system in thermal equilibrium that is suddenly coupled to a bath at a different temperature, a situation inspired by a particular black hole evaporation protocol. We prove a universal positivity bound on the integrated rate of change of the system energy which holds perturbatively in the system-bath coupling. Applied to holographic systems, this bound implies a particular instance of the averaged null energy condition. We also study in detail the particular case of two coupled SYK models in the limit of many fermions using the Schwinger-Keldysh non-equilibrium formalism. We solve the resulting Kadanoff-Baym equations both numerically and analytically in various limits. In particular, by going to low temperature, this setup enables a detailed study of the evaporation of black holes in JT gravity. |
| format | Article |
| id | doaj-art-1ea9d002e26e4e8c872740c807f63114 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-1ea9d002e26e4e8c872740c807f631142025-08-20T02:32:52ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024814310.1007/JHEP08(2024)034Universal constraints on energy flow and SYK thermalizationAhmed Almheiri0Alexey Milekhin1Brian Swingle2Institute for Advanced StudyPhysics Department, Princeton UniversityCondensed Matter Theory Center, Maryland Center for Fundamental Physics, Joint Institute for Quantum Information and Computer Science, and Department of Physics, University of MarylandAbstract We study the dynamics of a quantum system in thermal equilibrium that is suddenly coupled to a bath at a different temperature, a situation inspired by a particular black hole evaporation protocol. We prove a universal positivity bound on the integrated rate of change of the system energy which holds perturbatively in the system-bath coupling. Applied to holographic systems, this bound implies a particular instance of the averaged null energy condition. We also study in detail the particular case of two coupled SYK models in the limit of many fermions using the Schwinger-Keldysh non-equilibrium formalism. We solve the resulting Kadanoff-Baym equations both numerically and analytically in various limits. In particular, by going to low temperature, this setup enables a detailed study of the evaporation of black holes in JT gravity.https://doi.org/10.1007/JHEP08(2024)034Black HolesField Theories in Lower DimensionsQuantum Dissipative Systems |
| spellingShingle | Ahmed Almheiri Alexey Milekhin Brian Swingle Universal constraints on energy flow and SYK thermalization Journal of High Energy Physics Black Holes Field Theories in Lower Dimensions Quantum Dissipative Systems |
| title | Universal constraints on energy flow and SYK thermalization |
| title_full | Universal constraints on energy flow and SYK thermalization |
| title_fullStr | Universal constraints on energy flow and SYK thermalization |
| title_full_unstemmed | Universal constraints on energy flow and SYK thermalization |
| title_short | Universal constraints on energy flow and SYK thermalization |
| title_sort | universal constraints on energy flow and syk thermalization |
| topic | Black Holes Field Theories in Lower Dimensions Quantum Dissipative Systems |
| url | https://doi.org/10.1007/JHEP08(2024)034 |
| work_keys_str_mv | AT ahmedalmheiri universalconstraintsonenergyflowandsykthermalization AT alexeymilekhin universalconstraintsonenergyflowandsykthermalization AT brianswingle universalconstraintsonenergyflowandsykthermalization |