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Braid operation of exceptional points
Author(s) -
Kim S.W.
Publication year - 2013
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.201200073
Subject(s) - braid , holonomy , computation , braid group , pure mathematics , topology (electrical circuits) , mathematics , algebra over a field , combinatorics , algorithm , materials science , composite material
We review the characteristics of exceptional points (EPs) focusing on their braid operation. First we explain how the braid operation occurs in EPs using 2 × 2 non‐Hermitian matrix, and discuss the physical meaning of the coalescence of eigenvetors at the EP. We also show the relation between EPs and the so‐called exotic holonomy. Finally, we demonstrate a preliminary result on how to exploit the braid operation of EPs for topological quantum computation.