Title: Codimension-Zero Holographic Complexity and Spectral Three-Point Correlators

Speaker:  阮善明 研究员(北京大学)

     阮善明，北京大学物理学院理论物理研究所研究员、助理教授、博士生导师。2014年本科毕业于兰州大学，2017年硕士毕业于中国科学院理论物理研究所，2021年博士毕业于加拿大圆周理论物理研究所和滑铁卢大学。2021年至2025年，先后在日本京都大学基础物理研究所和比利时布鲁塞尔自由大学从事博士后研究。主要研究方向为黑洞物理、全息对偶与量子引力等，在 Physical Review Letters、 Journal of High Energy Physics 国际学术期刊发表论文20余篇。

Abstract:

    Holographic complexity is expected to capture the linear growth of black hole interiors, with quantumcorrections ultimately leading to a late-time saturation. We develop a spectral formulation of holographiccomplexity measures associated with codimension-zero bulk regions in the framework of thecomplexity-anything proposal. The corresponding generating function of complexity is governed by three-point correlation functions of the density of states, establishing a direct connection between bulkgeometric observables and nonperturbative Euclidean spacetime wormholes.

    We find that the codimension-zero holographic complexity exhibits a universal time evolution,characterized by an exponentially long regime of linear growth followed by saturation at the Heisenbergtime. The late-time plateau is a direct result of the spectral level repulsion, a generic feature of quantumchaotic systems, thereby providing a universal mechanism for the saturation of holographic complexity.We also develop a complementary operator interpretation, in which Euclidean wormhole correctionsrender the semiclassical basis of fixed-complexity states overcomplete. Constructing a completeorthonormal basis then yields well-defined holographic complexity operators that reproduce the sameuniversal time evolution.

Host: 李伟佳

时间: 2026年10月14日(周三)14:00

地点: 物理学院216