Quantum manifestations of Nekhoroshev stability

• Basic quantum manifestations of classical Nekhoroshev theory are studied.
• A simple anisochronous convex system with two degrees of freedom is proposed.
• Zones are uncovered in the joint expectation value spectrum of quantized actions.
• The width of the zones is given by the Nekhoroshev resonant normal forms.

We uncover quantum manifestations of classical Nekhoroshev theory of resonant dynamics using a simple quantum system of two coupled angular momenta with conserved equal magnitudes which corresponds to a perturbed classical integrable anisochronous Hamiltonian system.