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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.11980 |
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| _version_ | 1866912343724654592 |
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| author | Medina-Dozal, Luis A. Urzúa, Alejandro R. Récamier-Angelini, José |
| author_facet | Medina-Dozal, Luis A. Urzúa, Alejandro R. Récamier-Angelini, José |
| contents | In this work, we make use of Lie algebraic methods to obtain the time evolution operator for an optomechanical system with linear and quadratic couplings between the field and the mechanical oscillator. Firstly, we consider the case of a non-driven system and find its exact time evolution operator, secondly we consider the case of a forced system whose time evolution operator is obtained in an approximate form. We confront our analytical results with a numerical simulation and find a good agreement between them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11980 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Temporal evolution of a forced optomechanical system with linear and quadratic field -- mechanical oscillator couplings Medina-Dozal, Luis A. Urzúa, Alejandro R. Récamier-Angelini, José Quantum Physics In this work, we make use of Lie algebraic methods to obtain the time evolution operator for an optomechanical system with linear and quadratic couplings between the field and the mechanical oscillator. Firstly, we consider the case of a non-driven system and find its exact time evolution operator, secondly we consider the case of a forced system whose time evolution operator is obtained in an approximate form. We confront our analytical results with a numerical simulation and find a good agreement between them. |
| title | Temporal evolution of a forced optomechanical system with linear and quadratic field -- mechanical oscillator couplings |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2412.11980 |