Optimal Topological Test for Degeneracies of Real Hamiltonians
Quantum Physics
2007-05-23 v2
Abstract
We consider adiabatic transport of eigenstates of real Hamiltonians around loops in parameter space. It is demonstrated that loops that map to nontrivial loops in the space of eigenbases must encircle degeneracies. Examples from Jahn-Teller theory are presented to illustrate the test. We show furthermore that the proposed test is optimal.
Keywords
Cite
@article{arxiv.quant-ph/0310018,
title = {Optimal Topological Test for Degeneracies of Real Hamiltonians},
author = {Niklas Johansson and Erik Sjöqvist},
journal= {arXiv preprint arXiv:quant-ph/0310018},
year = {2007}
}
Comments
Minor corrections, accepted in Phys. Rev. Lett