Feedback cooling of atomic motion in cavity QED (21 pages)

  title={Feedback cooling of atomic motion in cavity QED (21 pages)},
  author={Daniel Steck and Kurt Jacobs and Hideo Mabuchi and Salman Habib and Tanmoy Bhattacharya},
  journal={Physical Review A},
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… Expand
Feedback control of a single atom in an optical cavity
We discuss feedback control of the motion of a single neutral atom trapped inside a high-finesse optical cavity. Based on the detection of single photons from a probe beam transmitted through theExpand
Photon-by-photon feedback control of a single-atom trajectory
The results show that the detected photon flux reflects the atomic motion, and thus mark a step towards the exploration of the quantum trajectory of a single atom at the standard quantum limit. Expand
Quantum filter reduction for measurement-feedback control via unsupervised manifold learning
We derive simple models for the dynamics of a single atom coupled to a cavity field mode in the absorptive bistable parameter regime by projecting the time evolution of the state of the system onto aExpand
Bragg-reflection-based feedback cooling of optically trapped particles
We propose and numerically analyze a new method of cooling for generic polarizable particles. It combines the ideas of cavity self-organization and feedback cooling. In particular, we propose toExpand
Two-photon gateway and feedback control of a single atom in a cavity
This thesis reports on experiments with single atoms strongly coupled to a single mode of a high-finesse optical cavity. In the first part, it is shown that the motion of the atom in an intracavityExpand
Two-photon gateway and real-time feedback control of a single atom in a cavity
This thesis reports on experiments with single atoms strongly coupled to a single mode of a high-finesse optical cavity. In the first part, it is shown that the motion of the atom in an intracavityExpand
Effects of measurement backaction in the stabilization of a bose-einstein condensate through feedback
We apply quantum filtering and control to a particle in a harmonic trap under continuous position measurement, and show that a simple static feedback law can be used to cool the system. The finalExpand
Cavity Optomechanics with Cold Atoms
The mechanical influence on objects due to their interaction with light has been a central topic in atomic physics for decades. Thus, not surprisingly, one finds that many concepts developed toExpand
Applications of Feedback Control in Quantum Systems
We give an introduction to feedback control in quantum systems, as well as an overview of the variety of applications which have been explored to date. This introductory review is aimed primarily atExpand
Demonstration of the approximation of eliminating atomic excited populations in an atom?cavity system
Using the master equation approach to a V-type three-level atom inside a high-finesse single-mode cavity in the strong coupling condition, we demonstrate the approximation of eliminating populationsExpand


Quantum feedback control of atomic motion in an optical cavity.
A feedback algorithm that can cool the atom to the ground state of the optical potential with high efficiency despite the nonlinear nature of this problem is designed. Expand
Feedback on the motion of a single atom in an optical cavity.
We demonstrate feedback on the motion of a single neutral atom trapped in the light field of a high-finesse cavity. Information on the atomic motion is obtained from the transmittance of the cavity.Expand
Collective dynamical cooling of neutral particles in a high-Q optical cavity
We show that an ensemble of two-level atoms commonly coupled to a single, driven, damped high-$Q$ cavity mode could be cooled and trapped via the correlated dynamics of cavity field and the atomicExpand
Quantum feedback in a weakly driven cavity QED system
Quantum feedback in strongly coupled systems can probe a regime where one quantum of excitation is a large fluctuation. We present theoretical and experimental studies of quantum feedback in anExpand
Semiclassical theory of cavity-assisted atom cooling
We present a systematic semiclassical model for the simulation of the dynamics of a single two-level atom strongly coupled to a driven high-finesse optical cavity. From the Fokker-Planck equation ofExpand
Feedback control of atomic motion in an optical lattice.
A real-time feedback scheme to manipulate wave-packet oscillations of atoms in an optical lattice is demonstrated and depending on the feedback loop characteristics, amplification, damping, or an entire alteration of the wave-packed oscillations are found. Expand
Real-Time Cavity QED with Single Atoms
The combination of cold atoms and large coherent coupling enables investigations in a new regime in cavity QED with single-atom trajectories monitored in real time with high signal-to-noise ratio.Expand
Cooling of a single atom in an optical trap inside a resonator
We present detailed discussions of cooling and trapping mechanisms for an atom in an optical trap inside an optical cavity, as relevant to recent experiments. The interference pattern of cavity QEDExpand
Full observation of single-atom dynamics in cavity QED
Abstract.We report the use of broadband heterodyne spectroscopy to perform continuous measurement of the interaction energy Eint between one atom and a high-finesse optical cavity, during individualExpand
Scaling properties of cavity-enhanced atom cooling
We extend an earlier semiclassical model to describe the dissipative motion of N atoms coupled to M modes inside a coherently driven high-finesse cavity. The description includes momentum diffusionExpand