Open AccessTopological Quantum Phase Transition and Local Topological Order in a Strongly Interacting Light-Matter System
Author(s) -
Sujit Sarkar
Publication year - 2017
Publication title -
scientific reports
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.24
H-Index - 213
ISSN - 2045-2322
DOI - 10.1038/s41598-017-01726-z
Subject(s) - topological order , topological degeneracy , physics , symmetry protected topological order , topological quantum number , majorana , topological entropy in physics , topology (electrical circuits) , quantum phase transition , fermion , quantum phases , phase transition , topological quantum computer , dirac (video compression format) , dirac fermion , toric code , quantum mechanics , quantum , mathematics , combinatorics , neutrino
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).