Two-component Bose-Hubbard model in an array of cavity polaritons
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We propose a scheme which can realize an extended two-component Bose-Hubbard model using polaritons confined in an array of optical cavities. In addition to the density-dependent interactions, this model also contains nonlinear coupling terms between the two components of the polariton. Using a mean-field calculation, we obtain the phase diagram which shows how these terms affect the transition between the Mott insulator and the superfluid phase. In addition, we employ both a perturbation approach and an exact diagonalization method to gain more insights into the phase diagram.
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Zhang, Yong-Chang, Zhou, Xiang-Fa, Zhou, Xingxiang, et al.. "Two-component Bose-Hubbard model in an array of cavity polaritons." Physical Review A, 91, (2015) American Physical Society: 43633. http://dx.doi.org/10.1103/PhysRevA.91.043633.