@inproceedings{c6ea892a3a4d4dafbfb2073b7fb85230,
title = "Quantum Popov robust stability analysis of an optical cavity containing a saturated Kerr medium",
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 non-linearity 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.",
author = "Petersen, {Ian R.}",
year = "2013",
doi = "10.23919/ecc.2013.6669492",
language = "English",
isbn = "9783033039629",
series = "2013 European Control Conference, ECC 2013",
publisher = "IEEE Computer Society",
pages = "2707--2711",
booktitle = "2013 European Control Conference, ECC 2013",
address = "United States",
note = "2013 12th European Control Conference, ECC 2013 ; Conference date: 17-07-2013 Through 19-07-2013",
}