Simple determination of dark states in a general multi-level system
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912765798514688 |
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| author | Zhou, Kaixuan Wu, June Shi, Junheng Byrnes, Tim |
| author_facet | Zhou, Kaixuan Wu, June Shi, Junheng Byrnes, Tim |
| contents | In a multi-level energy system with energy transitions, dark states are eigenstates of a Hamiltonian that consist entirely of ground states, with zero amplitude in the excited states. We present several criteria which allows one to deduce the presence of dark states in a general multi-level system based on the submatrices of the Hamiltonian. The dark states can be shown to be the right-singular vectors of the submatrix that connect the ground states to the excited states. Furthermore, we show a simple way of finding the dark state involving the determinant of a matrix constructed from the same submatrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_16832 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Simple determination of dark states in a general multi-level system Zhou, Kaixuan Wu, June Shi, Junheng Byrnes, Tim Quantum Physics In a multi-level energy system with energy transitions, dark states are eigenstates of a Hamiltonian that consist entirely of ground states, with zero amplitude in the excited states. We present several criteria which allows one to deduce the presence of dark states in a general multi-level system based on the submatrices of the Hamiltonian. The dark states can be shown to be the right-singular vectors of the submatrix that connect the ground states to the excited states. Furthermore, we show a simple way of finding the dark state involving the determinant of a matrix constructed from the same submatrix. |
| title | Simple determination of dark states in a general multi-level system |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2211.16832 |