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  Quantum Feedback Cooling of a Mechanical Oscillator Using Variational Measurements:Tweaking Heisenberg's Microscope

Habibi, H., Zeuthen, E., Ghanaatshoar, M., & Hammerer, K. (2016). Quantum Feedback Cooling of a Mechanical Oscillator Using Variational Measurements:Tweaking Heisenberg's Microscope. Journal of Optics, 18(8): 084004. doi:10.1088/2040-8978/18/8/084004.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-3F92-1 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-ECA6-9
Genre: Journal Article

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 Creators:
Habibi, Hojat1, Author
Zeuthen, Emil1, Author
Ghanaatshoar, Majid, Author
Hammerer, Klemens1, Author              
Affiliations:
1Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24010              

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Free keywords: Quantum Physics, quant-ph, Condensed Matter, Mesoscale and Nanoscale Physics, cond-mat.mes-hall
 Abstract: We revisit the problem of preparing a mechanical oscillator in the vicinity of its quantum-mechanical ground state by means of feedback cooling based on continuous optical detection of the oscillator position. In the parameter regime relevant to ground state cooling, the optical back-action and imprecision noise set the bottleneck of achievable cooling and must be carefully balanced. This can be achieved by adapting the phase of the local oscillator in the homodyne detection realizing a so-called variational measurement. The trade-off between accurate position measurement and minimal disturbance can be understood in terms of Heisenberg's microscope and becomes particularly relevant when the measurement and feedback processes happen to be fast within the quantum coherence time of the system to be cooled. This corresponds to the regime of large quantum cooperativity $C_{\text{q}}\gtrsim1$, which was achieved in recent experiments on feedback cooling. Our method provides a simple path to further pushing the limits of current state-of-the-art experiments in quantum optomechanics.

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 Dates: 2016-04-182016-06-032016
 Publication Status: Published in print
 Pages: Article submitted to the special issue on Nano-optomechanics edited by I. Wilson-Rae and J. Sanckey in Journal of Optics
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 Identifiers: arXiv: 1604.05097
DOI: 10.1088/2040-8978/18/8/084004
URI: http://arxiv.org/abs/1604.05097
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Title: Journal of Optics
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Pages: - Volume / Issue: 18 (8) Sequence Number: 084004 Start / End Page: - Identifier: -