Quantum entanglement between a nonlinear nanomechanical resonator and a microwave field

Meaney, Charles P., McKenzie, Ross H. and Milburn, G. J. (2011) Quantum entanglement between a nonlinear nanomechanical resonator and a microwave field. Physical Review E, 83 5: 056202.1-056202.13. doi:10.1103/PhysRevE.83.056202

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Author Meaney, Charles P.
McKenzie, Ross H.
Milburn, G. J.
Title Quantum entanglement between a nonlinear nanomechanical resonator and a microwave field
Journal name Physical Review E   Check publisher's open access policy
ISSN 1539-3755
Publication date 2011-05
Sub-type Article (original research)
DOI 10.1103/PhysRevE.83.056202
Open Access Status File (Publisher version)
Volume 83
Issue 5
Start page 056202.1
End page 056202.13
Total pages 13
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
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.
Keyword Phase-transition
Mechanical resonator
Ground state
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Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Centre for Quantum Computer Technology Publications
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Citation counts: TR Web of Science Citation Count  Cited 6 times in Thomson Reuters Web of Science Article | Citations
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