Phys. Rev. A 72, 043823 (2005) [13 pages]Quantum-limited velocity readout and quantum feedback cooling of a trapped ion via electromagnetically induced transparencySee Also: Publisher's Note Received 22 June 2005; published 27 October 2005; publisher error corrected 2 November 2005 We discuss continuous observation of the momentum of a single atom by employing the high velocity sensitivity of the index of refraction in a driven Λ-system based on electromagnetically induced transparency. In the ideal limit of unit collection efficiency this provides a quantum-limited measurement with minimal backaction on the atomic motion. A feedback loop, which drives the atom with a force proportional to measured signal, provides a cooling mechanism for the atomic motion. We derive the master equation which describes the feedback cooling and show that in the Lamb-Dicke limit the steady state energies are close to the ground state, limited only by the photon collection efficiency. Outside of the Lamb-Dicke regime the predicted temperatures are well below the Doppler limit. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.043823
DOI:
10.1103/PhysRevA.72.043823
PACS:
42.50.Gy, 42.50.Lc, 42.50.Vk, 03.65.Ta
See AlsoPublisher's Note: P. Rabl, V. Steixner, and P. Zoller, Publisher's Note: Quantum-limited velocity readout and quantum feedback cooling of a trapped ion via electromagnetically induced transparency [Phys. Rev. A 72, 043823 (2005)], Phys. Rev. A 72, 069902 (2005). |
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