Enhancing the controllability of quantum systems via a static field
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912867606855680 |
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| author | Liang, Ruikang Pozzoli, Eugenio Leibscher, Monika Sigalotti, Mario Koch, Christiane P. Boscain, Ugo |
| author_facet | Liang, Ruikang Pozzoli, Eugenio Leibscher, Monika Sigalotti, Mario Koch, Christiane P. Boscain, Ugo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Enhancing the controllability of quantum systems via a static field Liang, Ruikang Pozzoli, Eugenio Leibscher, Monika Sigalotti, Mario Koch, Christiane P. Boscain, Ugo Optimization and Control Quantum Physics 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. |
| title | Enhancing the controllability of quantum systems via a static field |
| topic | Optimization and Control Quantum Physics |
| url | https://arxiv.org/abs/2504.17303 |