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Published September 25, 2012 | Submitted + Published
Journal Article Open

Quantum back-action in measurements of zero-point mechanical oscillations

Abstract

Measurement-induced back-action, a direct consequence of the Heisenberg uncertainty principle, is the defining feature of quantum measurements. We use quantum measurement theory to analyze the recent experiment of Safavi-Naeini et al. [Phys. Rev. Lett. 108 033602 (2012)], and show that the results of this experiment not only characterize the zero-point fluctuation of a near-ground-state nanomechanical oscillator, but also demonstrate the existence of quantum back-action noise—through correlations that exist between sensing noise and back-action noise. These correlations arise from the quantum coherence between the mechanical oscillator and the measuring device, which build up during the measurement process, and are key to improving sensitivities beyond the standard quantum limit.

Additional Information

© 2012 American Physical Society. Received 8 June 2012; published 25 September 2012. We thank A. Schliesser, M. Gorodetsky, and T. Kippenberg for fruitful discussions. F.Ya.K. is supported by the Russian Foundation for Basic Research Grant No. 08-02-00580-a and NSF Grant No. PHY-0967049. H.M., H.Y., and Y.C. are supported by NSF Grants No. PHY-0555406, No. PHY-0956189, and No. PHY-1068881, as well as the David and Barbara Groce Startup Fund at Caltech. The research of A.S.-N. and O.P. has been supported by the DARPA/MTO ORCHID program through a grant from AFOSR, and the Kavli Nanoscience Institute at Caltech. A.S-N. also gratefully acknowledges support from NSERC. We acknowledge funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation.

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Published - PhysRevA.86.033840.pdf

Submitted - 1206.0793v1.pdf

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