Quantum phase transition in a quantum Rabi square with next-nearest-neighbor hopping
- URL: http://arxiv.org/abs/2407.03612v1
- Date: Thu, 4 Jul 2024 03:45:22 GMT
- Title: Quantum phase transition in a quantum Rabi square with next-nearest-neighbor hopping
- Authors: Yilun Xu, Feng-Xao Sun, Qiongyi He, Han Pu, Wei Zhang,
- Abstract summary: We propose a quantum Rabi square model where the nearest-neighbor and the next-nearest-neighbor photon hopping are allowed among four quantum Rabi systems.
By tuning the next-nearest hopping strength, we realize a first-order phase transition between the antiferromagnetic superradiant phase and the frustrated superradiant 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.
- Score: 9.457884028844415
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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