Feedback cooling of a single trapped ion.

Based on a real-time measurement of the motion of a single ion in a Paul trap, we demonstrate its electromechanical cooling below the Doppler limit by homodyne feedback control (cold damping). The feedback cooling results are well described by a model based on a quantum mechanical master equation.

[1]  M. Pinard,et al.  Cooling of a Mirror by Radiation Pressure , 1999 .

[2]  Quantum feedback cooling of a single trapped ion in front of a mirror (13 pages) , 2005, quant-ph/0506187.

[3]  N V Morrow,et al.  Feedback control of atomic motion in an optical lattice. , 2002, Physical review letters.

[4]  Joseph E. Reiner,et al.  Quantum feedback in a weakly driven cavity QED system , 2004 .

[5]  Milburn,et al.  Quantum theory of optical feedback via homodyne detection. , 1993, Physical review letters.

[6]  J. Raimond,et al.  Manipulating quantum entanglement with atoms and photons in a cavity , 2001 .

[7]  Hideo Mabuchi,et al.  Real-Time Quantum Feedback Control of Atomic Spin-Squeezing , 2004, Science.

[8]  G. Gabrielse,et al.  Feedback cooling of a one-electron oscillator. , 2003, Physical review letters.

[9]  The brownian motion of electrometers , 1953 .

[10]  Stefano Mancini,et al.  Optomechanical Cooling of a Macroscopic Oscillator by Homodyne Feedback , 1998 .

[11]  Stefano Mancini,et al.  Mirror quiescence and high-sensitivity position measurements with feedback , 2001, quant-ph/0111067.

[12]  Hideo Mabuchi,et al.  Quantum feedback control of atomic motion in an optical cavity. , 2003, Physical Review Letters.

[13]  F. Schmidt-Kaler,et al.  Forces between a single atom and its distant mirror image. , 2003, Physical review letters.

[14]  F. Schmidt-Kaler,et al.  Light interference from single atoms and their mirror images , 2001, Nature.

[15]  A. D. Boozer,et al.  Deterministic Generation of Single Photons from One Atom Trapped in a Cavity , 2004, Science.

[16]  Sub-poissonian Light and Photocurrent Shot-noise Suppression in Closed Optoelectronic Loop , 1994 .

[17]  C. Monroe,et al.  Quantum dynamics of single trapped ions , 2003 .

[18]  Kumar,et al.  Semiclassical theory of light detection in the presence of feedback. , 1987, Physical review letters.

[19]  Herbert Walther,et al.  Continuous generation of single photons with controlled waveform in an ion-trap cavity system , 2004, Nature.

[20]  Wolfgang Tittel,et al.  Quantum-noise-limited interferometric measurement of atomic noise: Towards spin squeezing on the Cs clock transition , 2003 .

[21]  Michael L. Roukes,et al.  Putting mechanics into quantum mechanics , 2005 .

[22]  P. Zoller,et al.  Laser-driven atoms in half-cavities , 2002 .

[23]  Suppression of classic and quantum radiation pressure noise by electro-optic feedback. , 1998, Optics letters.

[24]  P. Maunz,et al.  Cavity cooling of a single atom , 2004, Nature.