Quantum-limited velocity readout and quantum feedback cooling of a trapped ion via electromagnetically induced transparency

Author(s): P. Rabl, V. Steixner, P. Zoller

Journal: Phys. Rev. A

Volume: 72

Page(s): 043823

Year: 2005

DOI Number: 10.1103/PhysRevA.72.043823

Link: Link to publication

Abstract:

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.

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