Quantum Popov robust stability analysis of an optical cavity containing a saturated Kerr medium
Quantum Physics
2013-04-22 v1 Systems and Control
Optimization and Control
Abstract
This paper applies results on the robust stability of nonlinear quantum systems to a system consisting an optical cavity containing a saturated Kerr medium. The system is characterized by a Hamiltonian operator which contains a non-quadratic term involving a quartic function of the annihilation and creation operators. A saturated version of the Kerr nonlinearity leads to a sector bounded nonlinearity which enables a quantum small gain theorem to be applied to this system in order to analyze its stability. Also, a non-quadratic version of a quantum Popov stability criterion is presented and applied to analyze the stability of this system.
Keywords
Cite
@article{arxiv.1304.5384,
title = {Quantum Popov robust stability analysis of an optical cavity containing a saturated Kerr medium},
author = {Ian R. Petersen},
journal= {arXiv preprint arXiv:1304.5384},
year = {2013}
}
Comments
A shortened version will appear in the Proceedings of the 2013 European Control Conference