Abstract
In this work, we study the information scrambling and the entanglement dynamics in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their dependence on the charge density n. We first derive the effective theory for scramblons in a single cBSYK model, which gives closed-form expressions for the late-time OTOC and operator size. In particular, the result for OTOC is consistent with numerical observations in [1]. We then study the entanglement dynamics in cBSYK chains. We derive the density dependence of the entanglement velocity for both Rényi entropies and the Von Neumann entropy, with a comparison to the butterfly velocity. We further consider adding repeated measurements and derive the effective theory of the measurement induced transition which shows U(2)L ⊗ U(2)R symmetry for non-interacting models.
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Acknowledgments
We thank Xiao Chen, Yingfei Gu, and Chunxiao Liu for helpful discussions on related topics.
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Zhang, P. Information scrambling and entanglement dynamics of complex Brownian Sachdev-Ye-Kitaev models. J. High Energ. Phys. 2023, 105 (2023). https://doi.org/10.1007/JHEP04(2023)105
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DOI: https://doi.org/10.1007/JHEP04(2023)105