Poincaré disk as a model of squeezed states of a harmonic oscillator
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914749478862848 |
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| author | Chi, Ian Fraas, Martin Tan, Tina |
| author_facet | Chi, Ian Fraas, Martin Tan, Tina |
| contents | Single-mode squeezed states exhibit a direct correspondence with points on the Poincaré disk. In this study, we delve into this correspondence and describe the motions of the disk generated by a quadratic Hamiltonian. This provides a geometric representation of squeezed states and their evolution. We discuss applications in bang-bang and adiabatic control problems involving squeezed states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07905 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Poincaré disk as a model of squeezed states of a harmonic oscillator Chi, Ian Fraas, Martin Tan, Tina Mathematical Physics Quantum Physics Single-mode squeezed states exhibit a direct correspondence with points on the Poincaré disk. In this study, we delve into this correspondence and describe the motions of the disk generated by a quadratic Hamiltonian. This provides a geometric representation of squeezed states and their evolution. We discuss applications in bang-bang and adiabatic control problems involving squeezed states. |
| title | Poincaré disk as a model of squeezed states of a harmonic oscillator |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2404.07905 |