Optical coherent feedback control of a mechanical oscillator

• URL: http://arxiv.org/abs/2210.07674v1
• Date: Fri, 14 Oct 2022 09:57:04 GMT
• Title: Optical coherent feedback control of a mechanical oscillator
• Authors: Maryse Ernzer, Manel Bosch Aguilera, Matteo Brunelli, Gian-Luca Schmid, Christoph Bruder, Patrick P. Potts and Philipp Treutlein
• Abstract summary: In quantum physics, measurements not only read out the state of the system, but also modify it irreversibly. A different kind of feedback which coherently processes and feeds back quantum signals without actually measuring the system is possible. Here, we report on the realization of an optical coherent feedback platform to control the motional state of a nanomechanical membrane in an optical cavity.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Feedback is a powerful and ubiquitous technique both in classical and quantum system control. In its standard implementation it relies on measuring the state of a system, classically processing and feeding back the extracted information. In quantum physics, however, measurements not only read out the state of the system, but also modify it irreversibly. A different kind of feedback which coherently processes and feeds back quantum signals without actually measuring the system is possible. This is known as coherent feedback. Here, we report on the realization of an optical coherent feedback platform to control the motional state of a nanomechanical membrane in an optical cavity. The coherent feedback loop consists of a light field interacting twice with the same mechanical mode through different cavity modes, without any measurement taking place. Tuning the optical phase and delay of the feedback loop allows us to control the motional state of the mechanical oscillator, its resonance frequency and damping rate, the latter of which we use to cool the membrane close to the quantum ground state. We present here a theoretical description and experimental realization of this scheme. Our theoretical analysis provides the optimal cooling conditions, showing that this new technique enables ground-state cooling. Experimentally, we show that we can cool the membrane to a state with $\bar{n}_m = 4.89 \pm 0.14 $ phonons ($480\,\mu$K) in a ${20}\,$K environment. This lies below the theoretical limit of cavity dynamical backaction cooling in the unresolved sideband regime. Our feedback scheme is very versatile, offering new opportunities for quantum control in a variety of optomechanical systems.

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