Enhancing the controllability of quantum systems via a static field

We provide a sufficient condition for the controllability of a bilinear closed quantum system steered by a static field and a time-varying field, based on the notion of weakly conically connected spectrum. More precisely, we show that if a controlled Hamiltonian with two inputs has a weakly conically connected spectrum, then, freezing one of the two inputs at almost every constant value, the obtained single-input system is controllable. The result is illustrated with two examples, enantio-selective excitation in a chiral molecule and the driven Jaynes-Cummings Hamiltonian.

💡 Research Summary

The paper addresses a fundamental problem in quantum control: how to retain controllability when one of the control fields must remain static, a situation common in realistic laboratory settings where certain electromagnetic fields cannot be rapidly modulated. The authors consider a bilinear closed quantum system with two control inputs, \