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Enhancing the controllability of quantum systems via a static field
Ruikang Liang, Eugenio Pozzoli, Monika Leibscher, Mario Sigalotti, Christiane P. Koch, Ugo Boscain·April 24, 2025
math.OCQuantum Physics
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Abstract
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.