Quantum remnants in the classical limit

•We investigate the classical limit (CL) of a well known semi classical model.•The study is made by reference to the Bandt Pompe symbolic approach.•The number and type of associated symbols changes as one proceeds towards the CL.•We ascertain which symbols pertaining to the quantum zone remain in the CL.

We analyze here the common features of two dynamical regimes: a quantum and a classical one. We deal with a well known semi-classic system in its route towards the classical limit, together with its purely classic counterpart. We wish to ascertain i) whether some quantum remnants can be found in the classical limit and ii) the details of the quantum-classic transition. The so-called mutual information is the appropriate quantifier for this task. Additionally, we study the Bandt–Pompe's symbolic patterns that characterize dynamical time series (representative of the semi-classical system under scrutiny) in their evolution towards the classical limit.