1. otoc, quantum chaos and the correspondence principle

Giuliano Benenti

Università degli Studi dell'Insubria, Italy

21 January 2021 Thu 4 pm

                                      IBS Center for Theoretical Physics of Complex Systems (PCS), Administrative Office (B349), Theory Wing, 3rd floor

                                      Expo-ro 55, Yuseong-gu, Daejeon, South Korea, 34126 Tel: +82-42-878-8633                     

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. 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.

[1] J. Wang, G. Benenti, G. Casati and W. Wang, Complexity of quantum motion and quantum-classical correspondence: A phase-space approach, Phys. Rev. Res. 2, 043178 (2020).

[2] J. Wang, G. Benenti, G. Casati and W. Wang, Quantum chaos and the correspondence principle, preprint arXiv:2010.10360 [quant-ph].