Capacitive Coupling of Two Transmission Line Resonators Mediated by the Phonon Number of a Nanoelectromechanical Oscillator

Detection of quantum features in mechanical systems at the nanoscale constitutes a challenging task, given the weak interaction with other elements and the available technics. Here we describe how the interaction between two monomodal transmission-line resonators (TLRs) mediated by vibrations of a n...

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Bibliographic Details
Published in:arXiv.org 2014-05
Main Authors: O P de Sá Neto, de Oliveira, M C, Nicacio, F, Milburn, G J
Format: Article
Language:English
Subjects:
Conditioning
Demolition
Direct current
Entanglement
Mechanical systems
Phonons
Resonators
Superposition (mathematics)
Transmission lines
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Summary:Detection of quantum features in mechanical systems at the nanoscale constitutes a challenging task, given the weak interaction with other elements and the available technics. Here we describe how the interaction between two monomodal transmission-line resonators (TLRs) mediated by vibrations of a nano-electromechanical oscillator can be described. This scheme is then employed for quantum non-demolition detection of the number of phonons in the nano-electromechanical oscillator through a direct current measurement in the output of one of the TLRs. For that to be possible an undepleted field inside one of the TLR works as a amplifier for the interaction between the mechanical resonator and the remaining TLR. We also show how how the non-classical nature of this system can be used for generation of tripartite entanglement and conditioned mechanical coherent superposition states, which may be further explored for detection processes.
ISSN:2331-8422
DOI:10.48550/arxiv.1405.1010