Quench dynamics in the Jaynes-Cummings-Hubbard and Dicke models
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2022
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| _version_ | 1866911861698461696 |
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| author | Hogan, Andrew R. Martin, Andy M. |
| author_facet | Hogan, Andrew R. Martin, Andy M. |
| contents | Both the Jaynes-Cummings-Hubbard (JCH) and Dicke models can be thought of as idealised models of a quantum battery. In this paper we numerically investigate the charging properties of both of these models. The two models differ in how the two-level systems are contained in cavities. In the Dicke model, the $N$ two-level systems are contained in a single cavity, while in the JCH model the two-level systems each have their own cavity and are able to pass photons between them. In each of these models we consider a scenario where the two-level systems start in the ground state and the coupling parameter between the photon and the two-level systems is quenched. Each of these models display a maximum charging power that scales with the size of the battery $N$ and no super charging was found. Charging power also scales with the square root of the average number of photons per two-level system $m$ for both models. Finally, in the JCH model, the power was found to charge inversely with the square root of the photon-cavity coupling $κ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_01355 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quench dynamics in the Jaynes-Cummings-Hubbard and Dicke models Hogan, Andrew R. Martin, Andy M. Quantum Physics Both the Jaynes-Cummings-Hubbard (JCH) and Dicke models can be thought of as idealised models of a quantum battery. In this paper we numerically investigate the charging properties of both of these models. The two models differ in how the two-level systems are contained in cavities. In the Dicke model, the $N$ two-level systems are contained in a single cavity, while in the JCH model the two-level systems each have their own cavity and are able to pass photons between them. In each of these models we consider a scenario where the two-level systems start in the ground state and the coupling parameter between the photon and the two-level systems is quenched. Each of these models display a maximum charging power that scales with the size of the battery $N$ and no super charging was found. Charging power also scales with the square root of the average number of photons per two-level system $m$ for both models. Finally, in the JCH model, the power was found to charge inversely with the square root of the photon-cavity coupling $κ$. |
| title | Quench dynamics in the Jaynes-Cummings-Hubbard and Dicke models |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2210.01355 |