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Entangling a nanomechanical resonator with a microwave field

Andrew K. Ringsmuth, Gerard J Milburn

Published Mar 1, 2007• 6 citations
OpenAlex

Abstract

We show how the coherent oscillations of a nanomechanical resonator can be entangled with a microwave cavity in the form of a superconducting coplanar resonator. Dissipation is included and realistic values for experimental parameters are estimated.

Related papers

Entangling a nanomechanical resonator with a microwave field

Andrew K. Ringsmuth, Gerard J Milburn

We show how the coherent oscillations of a nanomechanical resonator can be entangled with a microwave cavity in the form of a superconducting coplanar resonator. Dissipation is included and realistic values for experimental parameters are estimated.

arXiv:quant-ph/0703003•Journal of Modern Optics•Sep 10, 2007•8 citations

A Scheme to Entangle Nanomechanical Resonators and Microwave Cavities

P. Tombesi, David Vitali, Andrew C. Doherty +2 more

A scheme able to entangle at the steady state a nanomechanical resonator with a microwave cavity mode of a driven superconducting coplanar waveguide is proposed. The nanomechanical resonator is capacitively coupled with the central conductor of the waveguide and stationary entanglement is achievable up to temperatures of tens of milliKelvin. Although not easy to reach experimentally it would provide a viable way to entangling many nano resonators via a common cavity field.

International Conference on Quantum, Nano and Micro Technologies (ICQNM)•Feb 1, 2008•0 citations

Entangling a nanomechanical resonator and a superconducting microwave cavity

David Vitali, P. Tombesi, M. J. Woolley +2 more

We propose a scheme able to entangle at the steady state a nanomechanical resonator with a microwave cavity mode of a driven superconducting coplanar waveguide. The nanomechanical resonator is capacitively coupled with the central conductor of the waveguide and stationary entanglement is achievable up to temperatures of tens of milliKelvin.

arXiv:0708.1665•Physical Review A•Oct 29, 2007•113 citations

Superconducting microwave cavities as quantum nanomechanical transducers

Gerard J Milburn, M. J. Woolley, Andrew C. Doherty +1 more

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Conference on Lasers and Electro-Optics•May 1, 2008•0 citations

Cladding-Pumped Distributed Feedback Phos-

Vladimir M. Shalaev, Alexander V. Kildishev, Weizhou Cai +17 more

Univ., USA. We show how a superconducting coplanar microwave cavity can be used as a quantum limited displacement transducer for a nanomechanical resonator by demonstrating that nanomechanical squeezing can be detected in the cavity field.

•Jan 1, 2008•0 citations

Quantum entanglement between a nonlinear nanomechanical resonator and a microwave field

Charles P. Meaney, Ross H. McKenzie, Gerard J Milburn

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.

arXiv:1010.4094•Physical Review E•May 2, 2011•14 citations
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.