Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase Transition
In this paper, we investigate the effect of the Dicke quantum phase transition on the Berry phase of the two impurity qubits. The two impurity qubits only have dispersive interactions with the optical field of the Dicke quantum system. Therefore, the two impurity qubits do not affect the ground stat...
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| Format: | Article |
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MDPI AG
2022-11-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/9/11/844 |
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| author | Wangjun Lu Cuilu Zhai Yan Liu Yaju Song Jibing Yuan Shiqing Tang |
| author_facet | Wangjun Lu Cuilu Zhai Yan Liu Yaju Song Jibing Yuan Shiqing Tang |
| author_sort | Wangjun Lu |
| collection | DOAJ |
| description | In this paper, we investigate the effect of the Dicke quantum phase transition on the Berry phase of the two impurity qubits. The two impurity qubits only have dispersive interactions with the optical field of the Dicke quantum system. Therefore, the two impurity qubits do not affect the ground state energy of the Dicke Hamiltonian. We find that the Berry phase of the two impurity qubits has a sudden change at the Dicke quantum phase transition point. Therefore, the Berry phase of the two impurity qubits can be used as a phase transition signal for the Dicke quantum phase transition. In addition, the two impurity qubits change differently near the phase transition point at different times. We explain the reason for the different variations by studying the variation of the Berry phase of the two impurity qubits with the phase transition parameters and time. Finally, we investigated the variation of the Berry phases of the two impurity qubits with their initial conditions, and we found that their Berry phases also have abrupt changes with the initial conditions. Since the Dicke quantum phase transition is already experimentally executable, the research in this paper helps to provide a means for manipulating the Berry phase of the two impurity qubits. |
| first_indexed | 2024-03-09T18:44:12Z |
| format | Article |
| id | doaj.art-8945f877936c4863935ad18e725a46cb |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-09T18:44:12Z |
| publishDate | 2022-11-01 |
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| record_format | Article |
| series | Photonics |
| spelling | doaj.art-8945f877936c4863935ad18e725a46cb2023-11-24T06:23:15ZengMDPI AGPhotonics2304-67322022-11-0191184410.3390/photonics9110844Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase TransitionWangjun Lu0Cuilu Zhai1Yan Liu2Yaju Song3Jibing Yuan4Shiqing Tang5Department of Maths and Physics, Hunan Institute of Engineering, Xiangtan 411104, ChinaDepartment of Maths and Physics, Hunan Institute of Engineering, Xiangtan 411104, ChinaCollege of Physics and Electronic Engineering, Hengyang Normal University, Hengyang 421002, ChinaCollege of Physics and Electronic Engineering, Hengyang Normal University, Hengyang 421002, ChinaCollege of Physics and Electronic Engineering, Hengyang Normal University, Hengyang 421002, ChinaCollege of Physics and Electronic Engineering, Hengyang Normal University, Hengyang 421002, ChinaIn this paper, we investigate the effect of the Dicke quantum phase transition on the Berry phase of the two impurity qubits. The two impurity qubits only have dispersive interactions with the optical field of the Dicke quantum system. Therefore, the two impurity qubits do not affect the ground state energy of the Dicke Hamiltonian. We find that the Berry phase of the two impurity qubits has a sudden change at the Dicke quantum phase transition point. Therefore, the Berry phase of the two impurity qubits can be used as a phase transition signal for the Dicke quantum phase transition. In addition, the two impurity qubits change differently near the phase transition point at different times. We explain the reason for the different variations by studying the variation of the Berry phase of the two impurity qubits with the phase transition parameters and time. Finally, we investigated the variation of the Berry phases of the two impurity qubits with their initial conditions, and we found that their Berry phases also have abrupt changes with the initial conditions. Since the Dicke quantum phase transition is already experimentally executable, the research in this paper helps to provide a means for manipulating the Berry phase of the two impurity qubits.https://www.mdpi.com/2304-6732/9/11/844Berry phaseDicke quantum phase transitiontwo impurity qubitsdispersive interactionX-type state |
| spellingShingle | Wangjun Lu Cuilu Zhai Yan Liu Yaju Song Jibing Yuan Shiqing Tang Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase Transition Photonics Berry phase Dicke quantum phase transition two impurity qubits dispersive interaction X-type state |
| title | Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase Transition |
| title_full | Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase Transition |
| title_fullStr | Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase Transition |
| title_full_unstemmed | Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase Transition |
| title_short | Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase Transition |
| title_sort | berry phase of two impurity qubits as a signature of dicke quantum phase transition |
| topic | Berry phase Dicke quantum phase transition two impurity qubits dispersive interaction X-type state |
| url | https://www.mdpi.com/2304-6732/9/11/844 |
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