Decays of degeneracies in PT-symmetric ring-shaped lattices
Quantum Physics
2011-09-02 v1 Mathematical Physics
math.MP
Abstract
Non-Hermitian ring-shaped discrete lattices share the appeal with their more popular linear predecessors. Their dynamics controlled by the nearest-neighbor interaction is equally phenomenologically interesting. In comparison, the innovative nontriviality of their topology may be expected to lead to new spectral effects. Some of them are studied here via solvable examples. Main attention is paid to the perturbation-caused removals of spectral degeneracy at exceptional points.
Keywords
Cite
@article{arxiv.1108.0620,
title = {Decays of degeneracies in PT-symmetric ring-shaped lattices},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:1108.0620},
year = {2011}
}
Comments
17 pp, 10 figures