Cross-Kerr nonlinearity : a stability analysis
Abstract
We analyse the combined e ect of the radiation-pressure and cross-Kerr nonlinearity on the stationary
solution of the dynamics of a nanomechanical resonator interacting with an electromagnetic cavity.
Within this setup, we show how the optical bistability picture induced by the radiation-pressure force is modi ed
by the presence of the cross-Kerr interaction term. More speci cally, we show how the optically bistable
region, characterising the pure radiation-pressure case, is reduced by the presence of a cross-Kerr coupling
term. At the same time, the upper unstable branch is extended by the presence of a moderate cross-Kerr term,
while it is reduced for larger values of the cross-Kerr coupling.
Main Authors
Format
Articles
Research article
Published
2015
Series
Subjects
Publication in research information system
Publisher
De Gruyter
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201512284131Use this for linking
Review status
Peer reviewed
ISSN
2299-3290
DOI
https://doi.org/10.1515/nsmmt-2015-0002
Language
English
Published in
Nanoscale Systems : Mathematical Modeling, Theory and Applications
Citation
- Sarala, R., & Massel, F. (2015). Cross-Kerr nonlinearity : a stability analysis. Nanoscale Systems : Mathematical Modeling, Theory and Applications, 4(1). https://doi.org/10.1515/nsmmt-2015-0002
License
Copyright© 2015 Roope Sarala and Francesco Massel, published by De Gruyter Open.
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.