Thermal pseudo-entropy
Abstract In this work, we develop a generalisation of the thermal entropy to complex inverse temperatures, which we call the thermal pseudo-entropy. We show that this quantity represents the pseudo-entropy of the transition matrix between Thermofield Double states at different times. We have studied...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)003 |
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| _version_ | 1832595030991175680 |
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| author | Pawel Caputa Bowen Chen Tadashi Takayanagi Takashi Tsuda |
| author_facet | Pawel Caputa Bowen Chen Tadashi Takayanagi Takashi Tsuda |
| author_sort | Pawel Caputa |
| collection | DOAJ |
| description | Abstract In this work, we develop a generalisation of the thermal entropy to complex inverse temperatures, which we call the thermal pseudo-entropy. We show that this quantity represents the pseudo-entropy of the transition matrix between Thermofield Double states at different times. We have studied its properties in various quantum mechanical setups, Schwarzian theory, Random Matrix Theories, and 2D CFTs, including symmetric orbifolds. Our findings indicate a close relationship between the averaged thermal pseudo-entropy and the spectral form factor, which is instrumental in distinguishing chaotic and integrable models. Moreover, we have observed a logarithmic scaling of this quantity in models with a continuous spectrum, with a universal coefficient that is sensitive to the scaling of the density of states near the edge of the spectrum. Lastly, we found the connection between the real and imaginary parts of the thermal pseudo-entropy through the Kramers-Kronig relations. |
| format | Article |
| id | doaj-art-2d5744ba7f3745889306e8d4b3e59d6b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-2d5744ba7f3745889306e8d4b3e59d6b2025-01-19T12:07:05ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113910.1007/JHEP01(2025)003Thermal pseudo-entropyPawel Caputa0Bowen Chen1Tadashi Takayanagi2Takashi Tsuda3The Oscar Klein Centre and Department of Physics, Stockholm UniversityFaculty of Physics, University of WarsawCenter for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityCenter for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityAbstract In this work, we develop a generalisation of the thermal entropy to complex inverse temperatures, which we call the thermal pseudo-entropy. We show that this quantity represents the pseudo-entropy of the transition matrix between Thermofield Double states at different times. We have studied its properties in various quantum mechanical setups, Schwarzian theory, Random Matrix Theories, and 2D CFTs, including symmetric orbifolds. Our findings indicate a close relationship between the averaged thermal pseudo-entropy and the spectral form factor, which is instrumental in distinguishing chaotic and integrable models. Moreover, we have observed a logarithmic scaling of this quantity in models with a continuous spectrum, with a universal coefficient that is sensitive to the scaling of the density of states near the edge of the spectrum. Lastly, we found the connection between the real and imaginary parts of the thermal pseudo-entropy through the Kramers-Kronig relations.https://doi.org/10.1007/JHEP01(2025)003Non-Equilibrium Field TheoryConformal and W SymmetryAdS-CFT Correspondence |
| spellingShingle | Pawel Caputa Bowen Chen Tadashi Takayanagi Takashi Tsuda Thermal pseudo-entropy Journal of High Energy Physics Non-Equilibrium Field Theory Conformal and W Symmetry AdS-CFT Correspondence |
| title | Thermal pseudo-entropy |
| title_full | Thermal pseudo-entropy |
| title_fullStr | Thermal pseudo-entropy |
| title_full_unstemmed | Thermal pseudo-entropy |
| title_short | Thermal pseudo-entropy |
| title_sort | thermal pseudo entropy |
| topic | Non-Equilibrium Field Theory Conformal and W Symmetry AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP01(2025)003 |
| work_keys_str_mv | AT pawelcaputa thermalpseudoentropy AT bowenchen thermalpseudoentropy AT tadashitakayanagi thermalpseudoentropy AT takashitsuda thermalpseudoentropy |