Publication: Geometric phase for non-Hermitian Hamiltonians and its holonomy interpretation
Files
Program
School / College / Institute
College of Sciences
KU-Authors
KU Authors
Co-Authors
Mehri-Dehnavi, Hossein
Publication Date
Language
Type
Embargo Status
NO
Journal Title
Journal ISSN
Volume Title
Alternative Title
Abstract
For an arbitrary possibly non-Hermitian matrix Hamiltonian H that might involve exceptional points, we construct an appropriate parameter space m and line bundle L-n over m such that the adiabatic geometric phases associated with the eigenstates of the initial Hamiltonian coincide with the holonomies of L-n. We examine the case of 2 X 2 matrix Hamiltonians in detail and show that, contrary to claims made in some recent publications, geometric phases arising from encircling exceptional points are generally geometrical and not topological in nature.
Source
Publisher
American Institute of Physics (AIP) Publishing
Subject
Mathematics
Citation
Has Part
Source
Journal of Mathematical Physics
Book Series Title
Edition
DOI
10.1063/1.2968344