Chaos and Complexity in Quantum Mechanics
High Energy Physics - Theory
2020-02-05 v4 Chaotic Dynamics
Quantum Physics
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.
Cite
@article{arxiv.1905.13534,
title = {Chaos and Complexity in Quantum Mechanics},
author = {Tibra Ali and Arpan Bhattacharyya and S. Shajidul Haque and Eugene H. Kim and Nathan Moynihan and Jeff Murugan},
journal= {arXiv preprint arXiv:1905.13534},
year = {2020}
}
Comments
18 pages, 8 figures, version to appear in Physical Review D