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Quantum Popov robust stability analysis of an optical cavity containing a saturated Kerr medium

Petersen, Ian


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...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Conference paper
Source: 2013 European Control Conference, ECC 2013
Access Rights: Open Access


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