Browsing by Author "Zhou, Xingxiang"
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Item Dynamically Manipulating Topological Physics and Edge Modes in a Single Degenerate Optical Cavity(American Physical Society, 2017) Zhou, Xiang-Fa; Luo, Xi-Wang; Wang, Su; Guo, Guang-Can; Zhou, Xingxiang; Pu, Han; Zhou, Zheng-Wei; Rice Center for Quantum MaterialsWe propose a scheme to simulate topological physics within a single degenerate cavity, whose modes are mapped to lattice sites. A crucial ingredient of the scheme is to construct a sharp boundary so that the open boundary condition can be implemented for this effective lattice system. In doing so, the topological properties of the system can manifest themselves on the edge states, which can be probed from the spectrum of an output cavity field. We demonstrate this with two examples: a static Su-Schrieffer-Heeger chain and a periodically driven Floquet topological insulator. Our work opens up new avenues to explore exotic photonic topological phases inside a single optical cavity.Item Two-component Bose-Hubbard model in an array of cavity polaritons(American Physical Society, 2015) Zhang, Yong-Chang; Zhou, Xiang-Fa; Zhou, Xingxiang; Guo, Guang-Can; Pu, Han; Zhou, Zheng-WeiWe 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.Item Two-component polariton condensate in an optical microcavity(American Physical Society, 2014) Zhang, Yong-Chang; Zhou, Xiang-Fa; Guo, Guang-Can; Zhou, Xingxiang; Pu, Han; Zhou, Zheng-Wei; Rice Quantum InstituteWe present a scheme for engineering the extended two-component Bose-Hubbard model using polariton condensate supported by an optical microcavity. Compared to the usual two-component Bose-Hubbard model with only Kerr nonlinearity, our model includes a nonlinear tunneling term which depends on the number difference of the particle in the two modes. In the mean-field treatment, this model is an analog to a nonrigid pendulum with a variable pendulum length whose sign can be also changed. We study the dynamic and groundstate properties of this model and show that there exists a first-order phase transition as the strength of the nonlinear tunneling rate is varied. Furthermore, we propose a scheme to obtain the polariton condensate wave function.