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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 2: Quantum Information and Gravity

MP 2.7: Talk

Monday, March 18, 2024, 12:20–12:40, HL 102

Thermalization of black holes and the SYK model — •Zhuo-Yu Xian¹, Shao-Kai Jian², Jiasheng Liu³, Yuxuan Liu⁴, Yi Ling⁵, and René Meyer¹ — ¹Julius-Maximilians-Universität Würzburg, 97074 Würzburg, Germany — ²Department of Physics and Engineering Physics, Tulane University, New Orleans, Louisiana, 70118, USA — ³Ludwig-Maximilians-Universität München, Geschwister-Scholl-Platz, 1 D-80539 München — ⁴Institute of Quantum Physics, School of Physics, Central South University, Changsha 418003, China — ⁵lnstitute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China

We investigate the evolution of entanglement and Heisenberg operators within open and strongly coupled systems interacting with its environment, in the frameworks of both the doubly holographic model and the Sachdev-Ye-Kitaev (SYK) model. In both cases, the entanglement within the system initially increases as a result of internal interactions; however, it eventually dissipates into the environment. We also study the operator size growth in the Lindbladian SYK model and analytically obtain the suppression of the growth due to the dissipation. The dynamic behaviors of the entanglement and the opeartor size observed in these two models are attributable to the competition between the internal interaction of the system and the external interaction with the environment.

Keywords: the Sachdev-Ye-Kitaev model; black hole; thermalization; entanglement; operator growth