Single-input perturbative control of a quantum symmetric rotor

TL;DR

This paper develops a perturbative control method for a quantum symmetric rotor driven by an electric field, classifies its controllability, and demonstrates selective rotational state transfer through numerical simulations.

Contribution

It introduces a novel perturbative criterion for controllability of a quantum symmetric rotor and applies it to achieve selective rotational control.

Findings

Classified the controllability of the quantum rotor system.

Demonstrated numerical orientational selective transfer of rotational populations.

Abstract

We consider the Schr\"odinger partial differential equation of a rotating symmetric rigid molecule (symmetric rotor) driven by a z-linearly polarized electric field, as prototype of degenerate infinite-dimensional bilinear control system. By introducing an abstract perturbative criterium, we classify its simultaneous approximate controllability; based on this insight, we numerically perform an orientational selective transfer of rotational population.