Operator Size Distribution in Large $N$ Quantum Mechanics of Majorana Fermions
Strongly Correlated Electrons
2023-10-11 v1 High Energy Physics - Theory
Quantum Physics
Abstract
Under the Heisenberg evolution in chaotic quantum systems, initially simple operators evolve into complicated ones and ultimately cover the whole operator space. We study the growth of the operator ``size'' in this process, which is related to the out-of-time-order correlator (OTOC). We derive the full time evolution of the size distribution in large quantum mechanics of Majorana fermions. As examples, we apply the formalism to the Brownian SYK model (infinite temperature) and the large SYK model (finite temperature).
Cite
@article{arxiv.2212.04358,
title = {Operator Size Distribution in Large $N$ Quantum Mechanics of Majorana Fermions},
author = {Pengfei Zhang and Yingfei Gu},
journal= {arXiv preprint arXiv:2212.04358},
year = {2023}
}
Comments
14 pages, 4 figures