Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model
In this paper, we uncover the elusive level crossings in a subspace of the asymmetric two-photon quantum Rabi model (tpQRM) when the bias parameter of qubit is an even multiple of the renormalized cavity frequency. Due to the absence of any explicit symmetry in the subspace, this double degeneracy a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033057 |
| _version_ | 1827285734477791232 |
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| author | You-Fei Xie Qing-Hu Chen |
| author_facet | You-Fei Xie Qing-Hu Chen |
| author_sort | You-Fei Xie |
| collection | DOAJ |
| description | In this paper, we uncover the elusive level crossings in a subspace of the asymmetric two-photon quantum Rabi model (tpQRM) when the bias parameter of qubit is an even multiple of the renormalized cavity frequency. Due to the absence of any explicit symmetry in the subspace, this double degeneracy at the crossing points implies the existence of the hidden symmetry. It is found that the number of the doubly degenerate crossing points in the asymmetric tpQRM is comparable to that in asymmetric one-photon QRM in terms of the same order of the constrained conditions. The bias parameter required for the occurrence of level crossings in the asymmetric tpQRM is characteristically different from that at a multiple of the cavity frequency in the asymmetric one-photon QRM, suggesting the different hidden symmetries in the two asymmetric QRMs. |
| first_indexed | 2024-04-24T10:19:42Z |
| format | Article |
| id | doaj.art-ad140d2146cb45b5abfb07c45c33afeb |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:19:42Z |
| publishDate | 2021-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-ad140d2146cb45b5abfb07c45c33afeb2024-04-12T17:11:51ZengAmerican Physical SocietyPhysical Review Research2643-15642021-07-013303305710.1103/PhysRevResearch.3.033057Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi modelYou-Fei XieQing-Hu ChenIn this paper, we uncover the elusive level crossings in a subspace of the asymmetric two-photon quantum Rabi model (tpQRM) when the bias parameter of qubit is an even multiple of the renormalized cavity frequency. Due to the absence of any explicit symmetry in the subspace, this double degeneracy at the crossing points implies the existence of the hidden symmetry. It is found that the number of the doubly degenerate crossing points in the asymmetric tpQRM is comparable to that in asymmetric one-photon QRM in terms of the same order of the constrained conditions. The bias parameter required for the occurrence of level crossings in the asymmetric tpQRM is characteristically different from that at a multiple of the cavity frequency in the asymmetric one-photon QRM, suggesting the different hidden symmetries in the two asymmetric QRMs.http://doi.org/10.1103/PhysRevResearch.3.033057 |
| spellingShingle | You-Fei Xie Qing-Hu Chen Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model Physical Review Research |
| title | Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model |
| title_full | Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model |
| title_fullStr | Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model |
| title_full_unstemmed | Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model |
| title_short | Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model |
| title_sort | double degeneracy associated with hidden symmetries in the asymmetric two photon rabi model |
| url | http://doi.org/10.1103/PhysRevResearch.3.033057 |
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