Displacemon electromechanics: how to detect quantum interference in a nanomechanical resonator

Abstract

We introduce the `displacemon' electromechanical architecture that comprises a vibrating nanobeam, e.g. a carbon nanotube, flux coupled to a superconducting qubit. This platform can achieve strong and even ultrastrong coupling enabling a variety of quantum protocols. We use this system to describe a protocol for generating and measuring quantum interference between two trajectories of a nanomechanical resonator. The scheme uses a sequence of qubit manipulations and measurements to cool the resonator, apply an effective diffraction grating, and measure the resulting interference pattern. We simulate the protocol for a realistic system consisting of a vibrating carbon nanotube acting as a junction in a superconducting qubit, and we demonstrate the feasibility of generating a spatially distinct quantum superposition state of motion containing more than $10^6$ nucleons.

12 pages, 7 figures

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• Magnetic-field resilience of 3D transmons with thin-film Al/AlO${}_x$/Al Josephson junctions approaching 1 T
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• Stabilizing quantum coherence against pure dephasing in the presence of quantum feedback at finite temperature
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• Fast Generation of High-Fidelity Mechanical Non-Gaussian States via Additional Amplifier and Photon Subtraction
• Optical Control of Nanomechanical Eigenfrequencies and Brownian Motion in Metamaterials
• Can the displacemon device test objective collapse models?
• Heisenberg-Limited Spin-Mechanical Gravimetry
• Sideband ground-state cooling of graphene with Rydberg atoms via vacuum forces
• Prospects of cooling a mechanical resonator with a transmon qubit in c-QED setup
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• Graphene Josephson Junctions for Engineering Motional Quanta