Quantum phase transition in a quantum Rabi square with next-nearest-neighbor hopping
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916311908483072 |
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| author | Xu, Yilun Sun, Feng-Xao He, Qiongyi Pu, Han Zhang, Wei |
| author_facet | Xu, Yilun Sun, Feng-Xao He, Qiongyi Pu, Han Zhang, Wei |
| contents | We propose a quantum Rabi square model where both the nearest-neighbor and the next-nearest-neighbor photon hopping are allowed among four quantum Rabi systems located at the vertices of a square. By tuning the next-nearest hopping strength, we realize a first-order phase transition between the antiferromagnetic superradiant phase and the frustrated superradiant phase, as well as a second-order phase transition between the normal and the superradiant phases. To understand the emergence of such phases, we show analytically that the effect induced by next-nearest hopping is equivalent to that of an artificial gauge phase. Our findings suggest that the next-nearest-neighbor hopping can serve as an alternative for the gauge phase to realize quantum control in applications of quantum simulation and quantum materials, and that our model represents a basic building block for the frustrated $J_1$-$J_2$ quantum spin model on square lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03612 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum phase transition in a quantum Rabi square with next-nearest-neighbor hopping Xu, Yilun Sun, Feng-Xao He, Qiongyi Pu, Han Zhang, Wei Quantum Physics We propose a quantum Rabi square model where both the nearest-neighbor and the next-nearest-neighbor photon hopping are allowed among four quantum Rabi systems located at the vertices of a square. By tuning the next-nearest hopping strength, we realize a first-order phase transition between the antiferromagnetic superradiant phase and the frustrated superradiant phase, as well as a second-order phase transition between the normal and the superradiant phases. To understand the emergence of such phases, we show analytically that the effect induced by next-nearest hopping is equivalent to that of an artificial gauge phase. Our findings suggest that the next-nearest-neighbor hopping can serve as an alternative for the gauge phase to realize quantum control in applications of quantum simulation and quantum materials, and that our model represents a basic building block for the frustrated $J_1$-$J_2$ quantum spin model on square lattices. |
| title | Quantum phase transition in a quantum Rabi square with next-nearest-neighbor hopping |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.03612 |