Study of the double non linear quantum resonances in diatomic molecules

TL;DR

This paper investigates the quantum dynamics of diatomic molecules under resonant electric fields, exploring quantum effects of classical chaos through nonlinear resonance overlaps and quantum-classical correspondence.

Contribution

It introduces a detailed analysis of quantum chaos in diatomic molecules using Schrödinger equation solutions and phase space methods, highlighting quantum-classical similarities.

Findings

Quantum effects due to classical chaos are identified.

Quantum-classical correspondence is observed in phase space.

Nonlinear resonance overlaps influence molecular quantum dynamics.

Abstract

We study the quantum dynamics of diatomic molecule driven by a circularly polarized resonant electric field. We look for a quantum effect due to classical chaos appearing due to the overlapping of nonlinear resonances associated to the vibrational and rotational motion. We solve the Schr\"odinger equation associated with the wave function expanded in term of proper stationary states, $|n>\otimes|lm>$ (vibrational$\otimes$angular momentum states). Looking for quantum-classic correspondence, we consider the Liouville dynamics in the two dimensional phase space defined by the coherent -like state of vibrational states, and it is found some similarities when the quantum dynamics is pictured in terms of number and phase operators.