Enhancing the controllability of quantum systems via a static field

• URL: http://arxiv.org/abs/2504.17303v3
• Date: Tue, 06 May 2025 07:57:53 GMT
• Title: Enhancing the controllability of quantum systems via a static field
• Authors: Ruikang Liang, Eugenio Pozzoli, Monika Leibscher, Mario Sigalotti, Christiane P Koch, Ugo Boscain,
• Abstract summary: 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.<n>The result is illustrated with two examples, enantiomer-selective excitation in a chiral molecule and the driven Jaynes--Cummings Hamiltonian.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide a sufficient condition for the controllability of a bilinear closed quantum system based on the notion of static field and 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, enantiomer-selective excitation in a chiral molecule and the driven Jaynes--Cummings Hamiltonian.

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