On the controllability in projections for linear quantum systems
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913311386238976 |
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| author | Chambrion, Thomas Boussaid, Nabile Caponigro, Marco |
| author_facet | Chambrion, Thomas Boussaid, Nabile Caponigro, Marco |
| contents | We present sufficient conditions for the exact controllability in projection of the linear Schr{ö}dinger equations in the case where the spectrum of the free Hamiltonian is pure point. We consider the general case in which the Hamiltonian may be nonlinear with respect to the control. The controllability result applies, in particular, to Schr{ö}dinger equations with a polarizability term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08290 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the controllability in projections for linear quantum systems Chambrion, Thomas Boussaid, Nabile Caponigro, Marco Optimization and Control We present sufficient conditions for the exact controllability in projection of the linear Schr{ö}dinger equations in the case where the spectrum of the free Hamiltonian is pure point. We consider the general case in which the Hamiltonian may be nonlinear with respect to the control. The controllability result applies, in particular, to Schr{ö}dinger equations with a polarizability term. |
| title | On the controllability in projections for linear quantum systems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2404.08290 |