Towards the Web of Quantum Chaos Diagnostics
High Energy Physics - Theory
2022-02-04 v2 General Relativity and Quantum Cosmology
Quantum Physics
Abstract
We study the connections between three quantities that can be used as diagnostics for quantum chaos, i.e., the out-of-time-order correlator (OTOC), Loschmidt echo (LE), and complexity. We generalize the connection between OTOC and LE for infinite dimensions and extend it for higher-order OTOCs and multi-fold LEs. Novel applications of this intrinsic relation are proposed. We also propose a relationship between a specific circuit complexity and LE by using the inverted oscillator model. These relationships signal a deeper connection between these three probes of quantum chaos.
Keywords
Cite
@article{arxiv.1909.01894,
title = {Towards the Web of Quantum Chaos Diagnostics},
author = {Arpan Bhattacharyya and Wissam Chemissany and S. Shajidul Haque and Bin Yan},
journal= {arXiv preprint arXiv:1909.01894},
year = {2022}
}
Comments
22 pages, 14 figures, 1 appendix. In this version the presentation has been improved, a few arguments have been strengthened, and three figures have been added