Bound states in the continuum for an array of quantum emitters
Quantum Physics
2019-08-27 v1
Abstract
We study the existence of bound states in the continuum for a system of n two-level quantum emitters, coupled with a one-dimensional boson field, in which a single excitation is shared among different components of the system. The emitters are fixed and equally spaced. We first consider the approximation of distant emitters, in which one can find degenerate eigenspaces of bound states corresponding to resonant values of energy, parametrized by a positive integer. We then consider the full form of the eigenvalue equation, in which the effects of the finite spacing and the field dispersion relation become relevant, yielding also nonperturbative effects. We explicitly solve the cases n=3 and n=4.
Keywords
Cite
@article{arxiv.1904.13004,
title = {Bound states in the continuum for an array of quantum emitters},
author = {Paolo Facchi and Davide Lonigro and Saverio Pascazio and Francesco V. Pepe and Domenico Pomarico},
journal= {arXiv preprint arXiv:1904.13004},
year = {2019}
}
Comments
16 pages, 12 figures