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Title: Controllable coupling between a nanomechanical resonator and a coplanar-waveguide resonator via a superconducting flux qubit
Authors: Xiong, W
Jin, DY
Jing, J
Lam, CH 
You, JQ
Issue Date: Sep-2015
Source: Physical review. A, Atomic, molecular, and optical physics, Sept. 2015, v. 92, no. 3, 032318
Abstract: We study a tripartite quantum system consisting of a coplanar-waveguide (CPW) resonator and a nanomechanical resonator (NAMR) connected by a flux qubit, where the flux qubit has a large detuning from both resonators. By a unitary transformation and a second-order approximation, we obtain a strong and controllable (i.e., magnetic-field-dependent) effective coupling between the NAMR and the CPW resonator. Due to the strong coupling, vacuum Rabi splitting can be observed from the voltage-fluctuation spectrum of the CPW resonator. We further study the properties of single-photon transport as inferred from the reflectance or equivalently the transmittance. We show that the reflectance and the corresponding phase-shift spectra both exhibit doublet of narrow spectral features due to vacuum Rabi splitting. By tuning the external magnetic field, the reflectance and the phase shift can be varied from 0 to 1 and -π to π, respectively. The results indicate that this hybrid quantum system can act as a quantum router.
Publisher: American Physical Society
Journal: Physical review. A, Atomic, molecular, and optical physics 
ISSN: 1050-2947
EISSN: 1094-1622
DOI: 10.1103/PhysRevA.92.032318
Rights: ©2015 American Physical Society
The following publication Xiong, W., Jin, D. Y., Jing, J., Lam, C. H., & You, J. Q. (2015). Controllable coupling between a nanomechanical resonator and a coplanar-waveguide resonator via a superconducting flux qubit. Physical Review A, 92(3), 032318 is available at https://doi.org/10.1103/PhysRevA.92.032318.
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