Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5):056202. doi: 10.1103/PhysRevE.83.056202. Epub 2011 May 02.

Quantum entanglement between a nonlinear nanomechanical resonator and a microwave field.

Physical review. E, Statistical, nonlinear, and soft matter physics

Charles P Meaney, Ross H McKenzie, G J Milburn

PMID: 21728625 DOI: 10.1103/PhysRevE.83.056202

Abstract

We consider a theoretical model for a nonlinear nanomechanical resonator coupled to a superconducting microwave resonator. The nanomechanical resonator is driven parametrically at twice its resonance frequency, while the superconducting microwave resonator is driven with two tones that differ in frequency by an amount equal to the parametric driving frequency. We show that the semiclassical approximation of this system has an interesting fixed-point bifurcation structure. In the semiclassical dynamics a transition from stable fixed points to limit cycles is observed as one moves from positive to negative detuning. We show that signatures of this bifurcation structure are also present in the full dissipative quantum system and further show that the bifurcation structure leads to mixed-state entanglement between the nanomechanical resonator and the microwave cavity in the dissipative quantum system that is a maximum close to the semiclassical bifurcation. Quantum signatures of the semiclassical limit cycles are presented.

© 2011 American Physical Society

Publication Types

• Journal Article
• Research Support, Non-U.S. Gov't