Scheme for measuring topological transitions in a continuous variable system
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929419744968704 |
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| author | Wang, Bi-Yao Zhang, Hao-Long Yang, Shou-Bang Wu, Fan Yang, Zhen-Biao Zheng, Shi-Biao |
| author_facet | Wang, Bi-Yao Zhang, Hao-Long Yang, Shou-Bang Wu, Fan Yang, Zhen-Biao Zheng, Shi-Biao |
| contents | We propose a scheme for measuring topological properties in a two-photon-driven Kerr-nonlinear resonator (KNR) subjected to a single-photon modulation. The topological properties are revealed through the observation of the Berry curvature and hence the first Chern number, as a nonadiabatic response of the physical observable to the change rate of the control parameter of the modulated drive. The parameter manifold, constructed from the system's Hamiltonian that determines its dynamics constrained in the state space spanned by the even and odd cat states as two basis states, is adjusted so that the degeneracy crossing the manifold indicates a topological transition. The scheme, with such continuous variable states in mesoscpic systems, provides a new perspective for exploration of the geometry and the related topology with complex systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09770 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scheme for measuring topological transitions in a continuous variable system Wang, Bi-Yao Zhang, Hao-Long Yang, Shou-Bang Wu, Fan Yang, Zhen-Biao Zheng, Shi-Biao Quantum Physics We propose a scheme for measuring topological properties in a two-photon-driven Kerr-nonlinear resonator (KNR) subjected to a single-photon modulation. The topological properties are revealed through the observation of the Berry curvature and hence the first Chern number, as a nonadiabatic response of the physical observable to the change rate of the control parameter of the modulated drive. The parameter manifold, constructed from the system's Hamiltonian that determines its dynamics constrained in the state space spanned by the even and odd cat states as two basis states, is adjusted so that the degeneracy crossing the manifold indicates a topological transition. The scheme, with such continuous variable states in mesoscpic systems, provides a new perspective for exploration of the geometry and the related topology with complex systems. |
| title | Scheme for measuring topological transitions in a continuous variable system |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.09770 |