Brickwall one-loop determinant: spectral statistics & Krylov complexity
Abstract We investigate quantum chaotic features of the brickwall model, which is obtained by introducing a stretched horizon — a Dirichlet wall placed outside the event horizon — within the BTZ geometry. This simple yet effective model has been shown to capture key properties of quantum black holes...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)154 |
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| author | Hyun-Sik Jeong Arnab Kundu Juan F. Pedraza |
| author_facet | Hyun-Sik Jeong Arnab Kundu Juan F. Pedraza |
| author_sort | Hyun-Sik Jeong |
| collection | DOAJ |
| description | Abstract We investigate quantum chaotic features of the brickwall model, which is obtained by introducing a stretched horizon — a Dirichlet wall placed outside the event horizon — within the BTZ geometry. This simple yet effective model has been shown to capture key properties of quantum black holes and is motivated by the stringy fuzzball proposal. We analyze the dynamics of both scalar and fermionic probe fields, deriving their normal mode spectra with Gaussian-distributed boundary conditions on the stretched horizon. By interpreting these normal modes as energy eigenvalues, we examine spectral statistics, including level spacing distributions, the spectral form factor, and Krylov state complexity as diagnostics for quantum chaos. Our results show that the brickwall model exhibits features consistent with random matrix theory across various ensembles as the standard deviation of the Gaussian distribution is varied. Specifically, we observe Wigner-Dyson distributions, a linear ramp in the spectral form factor, and a characteristic peak in Krylov complexity, all without the need for a classical interior geometry. We also demonstrate that non-vanishing spectral rigidity alone is sufficient to produce a peak in Krylov complexity, without requiring Wigner-Dyson level repulsion. Finally, we identify signatures of integrability at extreme values of the Dirichlet boundary condition parameter. |
| format | Article |
| id | doaj-art-abc7dc8a813e46d68a0ee2223c8a9c74 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-abc7dc8a813e46d68a0ee2223c8a9c742025-08-20T02:30:48ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025513410.1007/JHEP05(2025)154Brickwall one-loop determinant: spectral statistics & Krylov complexityHyun-Sik Jeong0Arnab Kundu1Juan F. Pedraza2Instituto de Física Teórica UAM/CSICSaha Institute of Nuclear PhysicsInstituto de Física Teórica UAM/CSICAbstract We investigate quantum chaotic features of the brickwall model, which is obtained by introducing a stretched horizon — a Dirichlet wall placed outside the event horizon — within the BTZ geometry. This simple yet effective model has been shown to capture key properties of quantum black holes and is motivated by the stringy fuzzball proposal. We analyze the dynamics of both scalar and fermionic probe fields, deriving their normal mode spectra with Gaussian-distributed boundary conditions on the stretched horizon. By interpreting these normal modes as energy eigenvalues, we examine spectral statistics, including level spacing distributions, the spectral form factor, and Krylov state complexity as diagnostics for quantum chaos. Our results show that the brickwall model exhibits features consistent with random matrix theory across various ensembles as the standard deviation of the Gaussian distribution is varied. Specifically, we observe Wigner-Dyson distributions, a linear ramp in the spectral form factor, and a characteristic peak in Krylov complexity, all without the need for a classical interior geometry. We also demonstrate that non-vanishing spectral rigidity alone is sufficient to produce a peak in Krylov complexity, without requiring Wigner-Dyson level repulsion. Finally, we identify signatures of integrability at extreme values of the Dirichlet boundary condition parameter.https://doi.org/10.1007/JHEP05(2025)154AdS-CFT CorrespondenceBlack HolesBlack Holes in String TheoryModels of Quantum Gravity |
| spellingShingle | Hyun-Sik Jeong Arnab Kundu Juan F. Pedraza Brickwall one-loop determinant: spectral statistics & Krylov complexity Journal of High Energy Physics AdS-CFT Correspondence Black Holes Black Holes in String Theory Models of Quantum Gravity |
| title | Brickwall one-loop determinant: spectral statistics & Krylov complexity |
| title_full | Brickwall one-loop determinant: spectral statistics & Krylov complexity |
| title_fullStr | Brickwall one-loop determinant: spectral statistics & Krylov complexity |
| title_full_unstemmed | Brickwall one-loop determinant: spectral statistics & Krylov complexity |
| title_short | Brickwall one-loop determinant: spectral statistics & Krylov complexity |
| title_sort | brickwall one loop determinant spectral statistics krylov complexity |
| topic | AdS-CFT Correspondence Black Holes Black Holes in String Theory Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP05(2025)154 |
| work_keys_str_mv | AT hyunsikjeong brickwalloneloopdeterminantspectralstatisticskrylovcomplexity AT arnabkundu brickwalloneloopdeterminantspectralstatisticskrylovcomplexity AT juanfpedraza brickwalloneloopdeterminantspectralstatisticskrylovcomplexity |