Feedback cooling of atomic motion in cavity QED
Abstract
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.
 Publication:

Physical Review A
 Pub Date:
 July 2006
 DOI:
 10.1103/PhysRevA.74.012322
 arXiv:
 arXiv:quantph/0509039
 Bibcode:
 2006PhRvA..74a2322S
 Keywords:

 03.67.a;
 02.30.Yy;
 32.80.Pj;
 42.50.p;
 Quantum information;
 Control theory;
 Optical cooling of atoms;
 trapping;
 Quantum optics;
 Quantum Physics
 EPrint:
 22 pages, 17 figures