Krylov spread complexity as holographic complexity beyond Jackiw-Teitelboim gravity
- Author
- Michal Heller (UGent) , Jacopo Papalini (UGent) and Tim Schuhmann (UGent)
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- Abstract
- One of the important open problems in quantum black hole physics is a dual interpretation of holographic complexity proposals. To date the only quantitative match is the equality between the Krylov spread complexity in the triple-scaled Sachdev-Ye-Kitaev (SYK) model and the complexity = volume proposal in classical Jackiw-Teitelboim gravity. Our Letter utilizes the recent connection between the double-scaled SYK model and sine dilaton gravity to show that the quantitative relation between Krylov spread complexity and complexity = volume extends to finite temperatures and to full quantum regime on the gravity side at disk level. Furthermore, we isolate the first quantum correction to the complexity = volume proposal and propose to view it as a complexity of quantum fields in the bulk. The key lesson from our Letter is that gravity demands to assign complexity also to Euclidean state preparation.
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01KEVJ4468X983B6B150EZ4N39
- MLA
- Heller, Michal, et al. “Krylov Spread Complexity as Holographic Complexity beyond Jackiw-Teitelboim Gravity.” PHYSICAL REVIEW LETTERS, vol. 135, no. 15, 2025, doi:10.1103/spcr-jgm6.
- APA
- Heller, M., Papalini, J., & Schuhmann, T. (2025). Krylov spread complexity as holographic complexity beyond Jackiw-Teitelboim gravity. PHYSICAL REVIEW LETTERS, 135(15). https://doi.org/10.1103/spcr-jgm6
- Chicago author-date
- Heller, Michal, Jacopo Papalini, and Tim Schuhmann. 2025. “Krylov Spread Complexity as Holographic Complexity beyond Jackiw-Teitelboim Gravity.” PHYSICAL REVIEW LETTERS 135 (15). https://doi.org/10.1103/spcr-jgm6.
- Chicago author-date (all authors)
- Heller, Michal, Jacopo Papalini, and Tim Schuhmann. 2025. “Krylov Spread Complexity as Holographic Complexity beyond Jackiw-Teitelboim Gravity.” PHYSICAL REVIEW LETTERS 135 (15). doi:10.1103/spcr-jgm6.
- Vancouver
- 1.Heller M, Papalini J, Schuhmann T. Krylov spread complexity as holographic complexity beyond Jackiw-Teitelboim gravity. PHYSICAL REVIEW LETTERS. 2025;135(15).
- IEEE
- [1]M. Heller, J. Papalini, and T. Schuhmann, “Krylov spread complexity as holographic complexity beyond Jackiw-Teitelboim gravity,” PHYSICAL REVIEW LETTERS, vol. 135, no. 15, 2025.
@article{01KEVJ4468X983B6B150EZ4N39,
abstract = {{One of the important open problems in quantum black hole physics is a dual interpretation of holographic complexity proposals. To date the only quantitative match is the equality between the Krylov spread complexity in the triple-scaled Sachdev-Ye-Kitaev (SYK) model and the complexity = volume proposal in classical Jackiw-Teitelboim gravity. Our Letter utilizes the recent connection between the double-scaled SYK model and sine dilaton gravity to show that the quantitative relation between Krylov spread complexity and complexity = volume extends to finite temperatures and to full quantum regime on the gravity side at disk level. Furthermore, we isolate the first quantum correction to the complexity = volume proposal and propose to view it as a complexity of quantum fields in the bulk. The key lesson from our Letter is that gravity demands to assign complexity also to Euclidean state preparation.}},
articleno = {{151602}},
author = {{Heller, Michal and Papalini, Jacopo and Schuhmann, Tim}},
issn = {{0031-9007}},
journal = {{PHYSICAL REVIEW LETTERS}},
language = {{eng}},
number = {{15}},
pages = {{7}},
title = {{Krylov spread complexity as holographic complexity beyond Jackiw-Teitelboim gravity}},
url = {{http://doi.org/10.1103/spcr-jgm6}},
volume = {{135}},
year = {{2025}},
}
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