Operator size distribution in large N quantum mechanics of Majorana fermions
Creators
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1.
Fudan University
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2.
Shanghai Qu Zhi Institute
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3.
California Institute of Technology
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4.
Tsinghua University
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 N quantum mechanics of Majorana fermions. As examples, we apply the formalism to the Brownian SYK model (infinite temperature) and the large q SYK model (finite temperature).
Copyright and License (English)
⃝© The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Acknowledgement (English)
We thank Cheng Peng, Xiao-Liang Qi, Zhenbin Yang, and Shunyu Yao for discussions. We thank Alexei Kitaev for discussion and collaboration on related projects.
Funding (English)
PZ is supported by NSFC under Grant No. 12374477 and the Walter Burke Institute for Theoretical Physics at Caltech. YG is supported by the Simons Foundation through the “It from Qubit” program, NSFC Grant No. 12042505, and Tsinghua University Dushi Program.
Files
JHEP10(2023)018.pdf
Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2212.04358 (arXiv)
Funding
- National Natural Science Foundation of China
- 12374477
- Simons Foundation
- 12042505
- Tsinghua University
- SCOAP3
Dates
- Available
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2023-10-04Published
Caltech Custom Metadata
- Caltech groups
- Institute for Quantum Information and Matter , Walter Burke Institute for Theoretical Physics , Division of Physics, Mathematics and Astronomy (PMA)
- Publication Status
- Published