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Phys. Rev. A 72, 043826 (2005) [13 pages]

Quantum feedback cooling of a single trapped ion in front of a mirror

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V. Steixner, P. Rabl, and P. Zoller
Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria and Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria

Received 22 June 2005; published 31 October 2005; publisher error corrected 2 November 2005

We develop a theory of quantum feedback cooling of a single ion trapped in front of a mirror. By monitoring the motional sidebands of the light emitted into the mirror mode we infer the position of the ion, and act back with an appropriate force to cool the ion. We derive a feedback master equation along the lines of the quantum feedback theory developed by Wiseman and Milburn, which provides us with cooling times and final temperatures as a function of feedback gain and various system parameters.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.043826
DOI:
10.1103/PhysRevA.72.043826
PACS:
42.50.Lc, 42.50.Vk, 03.65.Ta