Quantum limited imaging of a nanomechanical resonator with a spatial mode sorter

• URL: http://arxiv.org/abs/2411.04980v1
• Date: Thu, 07 Nov 2024 18:52:18 GMT
• Title: Quantum limited imaging of a nanomechanical resonator with a spatial mode sorter
• Authors: Morgan Choi, Christian Pluchar, Wenhua He, Saikat Guha, Dalziel Wilson,
• Abstract summary: We explore the use of a spatial mode sorter to image a nanomechanical resonator. We reflect a Gaussian laser beam from a vibrating nanoribbon and pass the reflected beam through a commercial spatial mode demultiplexer. We show that this technique permits readout of the ribbon's torsional vibration with a precision near the quantum limit.
• Score: 0.6384650391969042
• License:
• Abstract: We explore the use of a spatial mode sorter to image a nanomechanical resonator, with the goal of studying the quantum limits of active imaging and extending the toolbox for optomechanical force sensing. In our experiment, we reflect a Gaussian laser beam from a vibrating nanoribbon and pass the reflected beam through a commercial spatial mode demultiplexer (Cailabs Proteus). The intensity in each demultiplexed channel depends on the mechanical mode shapes and encodes information about their displacement amplitudes. As a concrete demonstration, we monitor the angular displacement of the ribbon's fundamental torsion mode by illuminating in the fundamental Hermite-Gauss mode (HG$_{00}$) and reading out in the HG$_{01}$ mode. We show that this technique permits readout of the ribbon's torsional vibration with a precision near the quantum limit. Our results highlight new opportunities at the interface of quantum imaging and quantum optomechanics.

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