Physics counterpart of the PT non-hermitian tight-binding chain
Quantum Physics
2011-06-02 v1 Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
We explore an alternative way of finding the link between a PT non-Hermitian Hamiltonian and a Hermitian one. Based on the analysis of the scattering problem for an imaginary potential and its time reversal process, it is shown that any real-energy eigenstate of a PT tight-binding lattice with on-site imaginary potentials shares the same wave function with a resonant transmission state of the corresponding Hermitian lattice embedded in a chain. It indicates that the PT eigenstate of a PT non-Hermitian Hamiltonian has connection to the resonance transmission state of the extended Hermitian Hamiltonian.
Keywords
Cite
@article{arxiv.1001.3949,
title = {Physics counterpart of the PT non-hermitian tight-binding chain},
author = {L. Jin and Z. Song},
journal= {arXiv preprint arXiv:1001.3949},
year = {2011}
}
Comments
6 pages, 3 figures