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摘要

采用平均场近似的方法, 分别研究了: Mott绝缘体相-超流体相量子相变, 探索了光的聚束-反聚束行为, 研究了Kerr非线性作用对量子相变与光子统计特征的影响. 研究结果表明, 在Rabi晶格模型中二能级原子和光子相互作用强度 g和格点之间光子跃迁强度 J的增大会使晶格体系从Mott绝缘体相向超流体相转变, 同时, 光子统计行为由聚束转变为反聚束, 而Kerr非线性强度的增大抑制了Mott绝缘体相-超流体相相变, 但促进了光子聚束与反聚束之间的转变.

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Abstract

We use the mean field approximation method to study the quantum phase transitions of the Jaynes-Cummings lattice model and the Rabi lattice model. The effective Hamiltonians are obtained for the JC and Rabi model including the Kerr nonlinear term. Numerically we diagonalized the Hamiltonian matrix and calculated the superfluidity order parameter and the two-photon correlation function by solving the iteration equations. We have explored the Mott insulating-superfluid quantum phase transition, the bunching-antibunching behavior of light, and the effect of Kerr nonlinear term on the quantum phase transition and photon statistical characteristics. Our results show that in the JC lattice model, by increasing J, a quantum phase transition takes place and the system is driven to a superfluid phase. The phase boundaries of the Mott lobes are N-dependent. However the photon will always be in a bunching statistical behavior irrelevant of the coupling strength between the two-level atom and the phonton and the nonlinear Kerr effect. In the Rabi lattice model, the anti-rotating wave term breaks Mott-lobe structure of the phase diagram and the increase of the two-level atom and photon interaction strength gand the photon transition strength Jbetween the lattices drive the system from the Mott insulating phase to the superfluid phase. The photon statistical behavior changes from the bunching to the antibunching one when considering the anti-rotating wave term, which is important in the strongly coupled systems. Most interestingly, the increase of the Kerr nonlinear coefficient will inhibit the Mott insulating phase-superfluid phase transition, but favor the superfluid phase and the transition from the bunching to anti-bunching statistics.

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作者及机构信息

通信作者:高先龙,gaoxl@zjnu.edu.cn

基金项目:国家自然科学基金(批准号: 11774316, 11704093)资助的课题

Authors and contacts

Corresponding author:Gao Xian-Long,gaoxl@zjnu.edu.cn

Funds:Project supported by the National Natural Science Foundation of China (Grant Nos. 11774316, 11704093).

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施引文献

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