Holographic open quantum systems: toy models and analytic properties of thermal correlators
Abstract We present a unified picture of open quantum systems, the theory of a system probing a noisy thermal environment, distilling lessons learnt from previous holographic analyses. Our treatment is applicable both when the system is coupled to short-lived (Markovian), and long-lived (non-Markovi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2023)153 |
| _version_ | 1797795931030028288 |
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| author | R. Loganayagam Mukund Rangamani Julio Virrueta |
| author_facet | R. Loganayagam Mukund Rangamani Julio Virrueta |
| author_sort | R. Loganayagam |
| collection | DOAJ |
| description | Abstract We present a unified picture of open quantum systems, the theory of a system probing a noisy thermal environment, distilling lessons learnt from previous holographic analyses. Our treatment is applicable both when the system is coupled to short-lived (Markovian), and long-lived (non-Markovian) environmental degrees of freedom. The thermal environment is modeled using an asymptotically AdS black hole, and the systems of interest are simple probe field theories. The effective stochastic dynamics of the system is governed by real-time thermal correlators, which we compute using the gravitational Schwinger-Keldysh (grSK) geometry. We describe the structure of arbitrary tree-level contact and exchange Witten diagrams in the grSK geometry. In particular, we argue, that all such diagrams reduce to integrals supported on a single copy of the exterior of the black hole. The integrand is obtained as a multiple discontinuity of a function comprising ingoing boundary-bulk propagators, monodromy functions which appear as radial Boltzmann weights, and vertex factors. These results allow us to deduce the analytic structure of real-time thermal n-point functions in holographic CFTs. We illustrate the general statements by a two-dimensional toy model, dual to fields in the BTZ background, which we argue captures many of the essential features of generic open holographic QFTs. |
| first_indexed | 2024-03-13T03:25:28Z |
| format | Article |
| id | doaj.art-a945fb32d70b43f28fa1539fc2489c0d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:28Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a945fb32d70b43f28fa1539fc2489c0d2023-06-25T11:05:38ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023314610.1007/JHEP03(2023)153Holographic open quantum systems: toy models and analytic properties of thermal correlatorsR. Loganayagam0Mukund Rangamani1Julio Virrueta2International Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchCenter for Quantum Mathematics and Physics (QMAP) Department of Physics & Astronomy, University of CaliforniaCenter for Quantum Mathematics and Physics (QMAP) Department of Physics & Astronomy, University of CaliforniaAbstract We present a unified picture of open quantum systems, the theory of a system probing a noisy thermal environment, distilling lessons learnt from previous holographic analyses. Our treatment is applicable both when the system is coupled to short-lived (Markovian), and long-lived (non-Markovian) environmental degrees of freedom. The thermal environment is modeled using an asymptotically AdS black hole, and the systems of interest are simple probe field theories. The effective stochastic dynamics of the system is governed by real-time thermal correlators, which we compute using the gravitational Schwinger-Keldysh (grSK) geometry. We describe the structure of arbitrary tree-level contact and exchange Witten diagrams in the grSK geometry. In particular, we argue, that all such diagrams reduce to integrals supported on a single copy of the exterior of the black hole. The integrand is obtained as a multiple discontinuity of a function comprising ingoing boundary-bulk propagators, monodromy functions which appear as radial Boltzmann weights, and vertex factors. These results allow us to deduce the analytic structure of real-time thermal n-point functions in holographic CFTs. We illustrate the general statements by a two-dimensional toy model, dual to fields in the BTZ background, which we argue captures many of the essential features of generic open holographic QFTs.https://doi.org/10.1007/JHEP03(2023)153AdS-CFT CorrespondenceNon-Equilibrium Field TheoryThermal Field Theory |
| spellingShingle | R. Loganayagam Mukund Rangamani Julio Virrueta Holographic open quantum systems: toy models and analytic properties of thermal correlators Journal of High Energy Physics AdS-CFT Correspondence Non-Equilibrium Field Theory Thermal Field Theory |
| title | Holographic open quantum systems: toy models and analytic properties of thermal correlators |
| title_full | Holographic open quantum systems: toy models and analytic properties of thermal correlators |
| title_fullStr | Holographic open quantum systems: toy models and analytic properties of thermal correlators |
| title_full_unstemmed | Holographic open quantum systems: toy models and analytic properties of thermal correlators |
| title_short | Holographic open quantum systems: toy models and analytic properties of thermal correlators |
| title_sort | holographic open quantum systems toy models and analytic properties of thermal correlators |
| topic | AdS-CFT Correspondence Non-Equilibrium Field Theory Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP03(2023)153 |
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