Poornaprajna Institute of Scientific Research, 4 Sadashivanagar, Bangalore, 5600 80, India.
Sci Rep. 2017 May 12;7(1):1840. doi: 10.1038/s41598-017-01726-z.
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).
尝试理解强相互作用光物质系统中的拓扑量子相变、相对论模式的出现和光的局域拓扑序。我们研究了一维非线性腔阵列中的这个系统。仅在有限的失谐过程中，无质量激发才会发生拓扑量子相变。我们给出了一些基于精确解析计算的结果，并进行了物理解释。我们观察到在拓扑态下出现无质量马约拉纳费米子模式，在拓扑量子相变期间出现无质量马约拉纳-外尔费米子模式，以及在非拓扑态下出现狄拉克费米子模式。最后，我们研究了量子化的Berry 相位（拓扑序）及其与拓扑数（缠绕数）的联系。
