Topological Quantum Phase Transition and Local Topological Order in a Strongly Interacting Light-Matter System

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Abstract

<jats:title>Abstract</jats:title><jats:p>An attempt is made to understand the topological quantum phase transition, emergence of relativistic modes and local topological order of light in a strongly interacting light-matter system. We study this system, in a one dimensional array of nonlinear cavities. Topological quantum phase transition occurs with massless excitation only for the finite detuning process. We present a few results based on the exact analytical calculations along with the physical explanations. We observe the emergence of massive Majorana fermion mode at the topological state, massless Majorana-Weyl fermion mode during the topological quantum phase transition and Dirac fermion mode for the non-topological state. Finally, we study the quantized Berry phase (topological order) and its connection to the topological number (winding number).</jats:p>

Journal

  • Scientific Reports

    Scientific Reports 7 (1), 2017-05-12

    Springer Science and Business Media LLC

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