Enhancing the controllability of quantum systems via a static field

2025/04/24 by Liang, Ruikang, Pozzoli, Eugenio, Leibscher, Monika +3
#FOS: Mathematics #FOS: Physical sciences #Optimization and Control (math.OC) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2504.17303

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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