Chaos and Complexity in Quantum Mechanics
arXiv:1905.13534 · doi:10.1103/PhysRevD.101.026021
Abstract
We propose a new diagnostic for quantum chaos. We show that 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 behaviour.
arXiv comment18 pages, 8 figures, version to appear in Physical Review D
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