2018/07/06 by Ryusuke Hamazaki, Hamazaki, Ryusuke, Kazuya Fujimoto +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.48550/arxiv.1807.02360
6 pages, 4 figures (Supplemental Material: 14 pages, 4 figures)
openalex publication_date 2018/07/06 · arxiv created 2018/12/27 · arxiv updated 2018/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We argue that two distinct probes of quantum chaos, i.e., the growth of noncommutativity of two unequal-time operators and the degree of irreversibility in a time-reversal test, are equivalent for initially localized states. We confirm this for interacting nonintegrable many-body systems and a quantum kicked rotor. Our results show that three-point out-of-time-ordered correlators dominate the growth of the squared commutator for initially localized states, in stark contrast to four-point out-of-time-ordered correlators that have extensively been studied for thermal initial states.