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Gain-loss-induced non-Abelian Bloch braids.
- Source :
-
Applied Physics Letters . 9/18/2023, Vol. 123 Issue 12, p1-5. 5p. - Publication Year :
- 2023
-
Abstract
- Onsite gain-loss-induced topological braiding principle of non-Hermitian energy bands is theoretically formulated in multiband lattice models with Hermitian hopping amplitudes. Braid phase transition occurs when the gain-loss parameter is tuned across exceptional point degeneracy. Laboratory realizable effective-Hamiltonians are proposed to realize braid groups B 2 and B 3 of two and three bands, respectively. While B 2 is trivially Abelian, the group B 3 features non-Abelian braiding and energy permutation originating from the collective behavior of multiple exceptional points. Phase diagrams with respect to lattice parameters to realize braid group generators and their non-commutativity are shown. The proposed theory is conducive to synthesizing exceptional materials for applications in topological computation and information processing. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036951
- Volume :
- 123
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Applied Physics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 172304274
- Full Text :
- https://doi.org/10.1063/5.0164009