Quantum Feedback Control of Atomic Motion in an Optical Cavity

Abstract

We study quantum feedback cooling of atomic motion in an optical cavity as a prototypical nonlinear quantum control problem. We design 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. An important ingredient is a simplified state-estimation algorithm, necessary for a real-time implementation of the feedback loop. We also describe the critical role of parity dynamics in the cooling process and present a simple theory that predicts the achievable steady-state atomic energies.

5 pages, 4 figures; v2 includes minor corrections (no content change); v3 includes minor wording/figure changes to match published PRL version

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• Feedback-control of quantum systems using continuous state-estimation
• Quantum feedback control and classical control theory
• Adaptive homodyne measurement of optical phase
• Feedback cooling of a nanomechanical resonator
• Bayesian feedback versus Markovian feedback in a two-level atom
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