Chaos and complexity in quantum mechanics
122 Citations•2020•
Tibra Ali, Arpan Bhattacharyya, S. Shajidul Haque
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Abstract
We propose a new diagnostic for quantum chaos. We show that time evolution of\ncomplexity for a particular type of target state can provide equivalent\ninformation about the classical Lyapunov exponent and scrambling time as\nout-of-time-order correlators. Moreover, for systems that can be switched from\na regular to unstable (chaotic) regime by a tuning of the coupling constant of\nthe interaction Hamiltonian, we find that the complexity defines a new time\nscale. We interpret this time scale as recording when the system makes the\ntransition from regular to chaotic behaviour.\n