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arXiv · 2504.17303

Enhancing the controllability of quantum systems via a static field

Ruikang Liang·Eugenio Pozzoli·Monika Leibscher·Mario Sigalotti·Christiane P. Koch·Ugo Boscain
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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.

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Ruikang Liang, Eugenio Pozzoli, Monika Leibscher, Mario Sigalotti, Christiane P. Koch, Ugo Boscain. 2025-04-24. Enhancing the controllability of quantum systems via a static field. https://arxiv.org/abs/2504.17303

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