2019/09/30 by Saúl Pilatowsky-Cameo, Jorge Chávez-Carlos, Miguel A. Bastarrachea-Magnani +5 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Chaotic #Classical limit #Exponential function #Exponential growth #Integrable system #Limit (mathematics) #Lyapunov exponent #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Physics #Quantum #Quantum Information and Cryptography #Quantum chaos #Quantum chaos and dynamical systems #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Statistical physics #cond-mat.stat-mech #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physreve.101.010202
published as Phys. Rev. E 101, 010202 (2020) · 12 pages, 4 figures. (As published)
openalex publication_date 2020/01/22 · arxiv created 2020/01/23 · arxiv updated 2020/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Quantum chaos refers to signatures of classical chaos found in the quantum domain. Recently, it has become common to equate the exponential behavior of out-of-time order correlators (OTOCs) with quantum chaos. The quantum-classical correspondence between the OTOC exponential growth and chaos in the classical limit has indeed been corroborated theoretically for some systems and there are several projects to do the same experimentally. The Dicke model, in particular, which has a regular and a chaotic regime, is currently under intense investigation by experiments with trapped ions. We show, however, that for experimentally accessible parameters, OTOCs can grow exponentially also when the Dicke model is in the regular regime. The same holds for the Lipkin-Meshkov-Glick model, which is integrable and also experimentally realizable. The exponential behavior in these cases are due to unstable stationary points, not to chaos.