2019/05/31 by Tibra Ali, Arpan Bhattacharyya, S. Shajidul Haque +3 · 124 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Chaotic #Computer science #Control theory (sociology) #Hamiltonian (control theory) #Lyapunov exponent #Mathematics #Nonlinear Dynamics and Pattern Formation #Physics #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Scrambling #Statistical physics #Synchronization of chaos #hep-th #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physrevd.101.026021
published in Physical review. D/Physical review. D. 101(2) (American Physical Society) · 18 pages, 8 figures, version to appear in Physical Review D
arxiv created 2020/01/14 · openalex publication_date 2020/01/29 · arxiv updated 2020/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a new diagnostic for quantum chaos. We show that the time evolution of complexity for a particular type of target state can provide equivalent information about the classical Lyapunov exponent and scrambling time as out-of-time-order correlators. Moreover, for systems that can be switched from a regular to unstable (chaotic) regime by a tuning of the coupling constant of the interaction Hamiltonian, we find that the complexity defines a new time scale. We interpret this time scale as recording when the system makes the transition from regular to chaotic behavior.