Spectral singularities in PT-symmetric Bose-Einstein condensates
Quantum Physics
2013-06-20 v2 Quantum Gases
Chaotic Dynamics
Abstract
We consider the model of a PT-symmetric Bose-Einstein condensate in a delta-functions double-well potential. We demonstrate that analytic continuation of the primarily non-analytic term |psi|^2 psi - occurring in the underlying Gross-Pitaevskii equation - yields new branch points where three levels coalesce. We show numerically that the new branch points exhibit the behaviour of exceptional points of second and third order. A matrix model which confirms the numerical findings in analytic terms is given.
Cite
@article{arxiv.1303.0132,
title = {Spectral singularities in PT-symmetric Bose-Einstein condensates},
author = {W. D. Heiss and H. Cartarius and G. Wunner and J. Main},
journal= {arXiv preprint arXiv:1303.0132},
year = {2013}
}
Comments
15 pages, 9 figures, modifications in Figs. 1 and 2, additions in the text, to be published in J. Phys. A