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Entanglement Between Nanoelectromechanical Systems Mediated by a Transmission Line Resonator

O. P. de Sá Neto

Published Feb 1, 2022• 0 citations
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Abstract

Abstract In this letters, is considered a simple chip composed of three devices, where we have two nanoelectromechanical systems capacitive coupling with a transmission line resonator, in which this interaction is approximated to two nondegenerate parametric oscilator interaction. For Entanglement analysis, we take two identical nanoelectromechanical systems with a thermal initial state.

DOI
10.21203/rs.3.rs-1293209/v1

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We study arrays of mechanical oscillators in the quantum domain and demonstrate how the motions of distant oscillators can be entangled without the need for control of individual oscillators and without a direct interaction between them. These oscillators are thought of as being members of an array of nanoelectromechanical resonators with a voltage being applicable between neighboring resonators. Sudden nonadiabatic switching of the interaction results in a squeezing of the states of the mechanical oscillators, leading to an entanglement transport in chains of mechanical oscillators. We discuss spatial dimensions, Q factors, temperatures and decoherence sources in some detail, and find a distinct robustness of the entanglement in the canonical coordinates in such a scheme. We also briefly discuss the challenging aspect of detection of the generated entanglement.
Detection of quantum features in mechanical systems at the nanoscale constitutes a challenging task, given the weak interaction with other elements and the available technology. Here we describe the interaction between two monomodal transmission-line resonators (TLRs) mediated by vibrations of a nanoelectromechanical oscillator. This scheme is then employed for quantum nondemolition detection of the number of phonons in the nanoelectromechanical 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 TLRs works as an amplifier for the interaction between the mechanical resonator and the remaining TLR. We also show how the nonclassical 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.
A three-level Transmon device, which mediates the capacitive coupling between a resonant transmission line and a nanoelectromechanical system, can be conceptually redefined as a Hamiltonian of a staircase configuration. From this, we solve the steady state of the Transmon level transition operators via the master equation with cascade decays, after which we conduct a detailed analysis of the resulting scattering and absorption spectra. By establishing specific relationships between the relevant coupling and decay constants, we noted the presence of a remarkable transparency window in the spectrum, attributed to the influence of mechanical proof. This distinctive structure is identified as Electromagnetically Induced Transparency, highlighting a peculiar interaction between the devices in the hybrid circuit.