Topological Quantum Phase Transition and Local Topological Order in a Strongly Interacting Light-Matter System
Abstract 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 tr...
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| Format: | article |
| Language: | EN |
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Nature Portfolio
2017
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| Subjects: | |
| Online Access: | https://doaj.org/article/c11db33a2bdf4aa3aa14dc1aa9d9a396 |
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| Summary: | Abstract 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). |
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