Quantum Chaos and the Correspondence Principle

Abstract

The correspondence principle is a cornerstone in the entire construction of quantum mechanics. This principle has been recently challenged by the observation of an early-time exponential increase of the out-of-time-ordered correlator (OTOC) in classically non-chaotic systems [E.B. Rozenbaum et al., Phys. Rev. Lett. 125, 014101 (2020)], Here we show that the correspondence principle is restored after a proper treatment of the singular points. Furthermore our results show that the OTOC maintains its role as a diagnostic of chaotic dynamics.

7 pages, 7 figures

References in corpus (2)

• Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
• Timescales in the quench dynamics of many-body quantum systems: Participation ratio vs out-of-time ordered correlator

Cited by in corpus (6)

• Random Matrix Theory of the Isospectral twirling
• From ETH to algebraic relaxation of OTOCs in systems with conserved quantities
• Statistical and dynamical properties of the quantum triangle map
• Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\mathcal{P}\mathcal{T}$-symmetry breaking in a Floquet system
• Quantum information scrambling in two-dimensional Bose-Hubbard lattices
• Out-of-Time-Order-Correlator for van der Waals potential