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Phys. Rev. A 74, 012322 (2006) [21 pages]

Feedback cooling of atomic motion in cavity QED

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Daniel A. Steck1,2, Kurt Jacobs1,3,4, Hideo Mabuchi5, Salman Habib1, and Tanmoy Bhattacharya1
1Theoretical Division (T-8), MS B285, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
2Oregon Center for Optics and Department of Physics, 1274 University of Oregon, Eugene, Oregon 97403-1274, USA
3Centre for Quantum Computer Technology, Centre for Quantum Dynamics, School of Science, Griffith University, Nathan 4111, Australia
4Quantum Science and Technologies Group, Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, Louisiana State University, 202 Nicholson Hall, Tower Drive, Baton Rouge, Louisiana 70803, USA
5Norman Bridge Laboratory of Physics 12-33, California Institute of Technology, Pasadena, California 91125, USA

Received 8 October 2005; published 31 July 2006

We consider the problem of controlling the motion of an atom trapped in an optical cavity using continuous feedback. In order to realize such a scheme experimentally, one must be able to perform state estimation of the atomic motion in real time. While in theory this estimate may be provided by a stochastic master equation describing the full dynamics of the observed system, integrating this equation in real time is impractical. Here we derive an approximate estimation equation for this purpose, and use it as a drive in a feedback algorithm designed to cool the motion of the atom. We examine the effectiveness of such a procedure using full simulations of the cavity QED system, including the quantized motion of the atom in one dimension.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.74.012322
DOI:
10.1103/PhysRevA.74.012322
PACS:
03.67.−a, 02.30.Yy, 32.80.Pj, 42.50.−p
 
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