6533b822fe1ef96bd127d6e4

RESEARCH PRODUCT

Cross-Kerr nonlinearity: a stability analysis

Francesco MasselRoope Sarala

subject

Physicsradiation-pressureQuantum PhysicsCondensed Matter - Mesoscale and Nanoscale PhysicsBistabilitylcsh:MathematicsDynamics (mechanics)Physics::OpticsFOS: Physical scienceslcsh:QA1-939Stability (probability)Molecular physicsOptical bistabilityTerm (time)mesoscale and nanoscale physicsNonlinear systemCoupling (physics)General Relativity and Quantum Cosmology42.50.Wk 81.07.Oj 05.45.-aElectromagnetic cavitycross-Kerr nonlinearityMesoscale and Nanoscale Physics (cond-mat.mes-hall)kvanttifysiikkaQuantum Physics (quant-ph)

description

We analyse the combined effect 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 modified by the presence of the cross-Kerr interaction term. More specifically, 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.

https://dx.doi.org/10.48550/arxiv.1509.00964