Control of an atom laser using feedback
arXiv:cond-mat/0310130 · doi:10.1103/PhysRevA.69.013605
Abstract
A generalised method of using feedback to control Bose-Einstein condensates is introduced. The condensates are modelled by the Gross-Pitaevskii equation, so only semiclassical fluctations can be suppressed, and back-action from the measurement is ignored. We show that for any available control, a feedback scheme can be found to reduce the energy while the appropriate moment is still dynamic. We demonstrate these schemes by considering a condensate trapped in a harmonic potential that can be modulated in strength and position. The formalism of our feedback scheme also allows the inclusion of certain types of non-linear controls. If the non-linear interaction between the atoms can be controlled via a Feshbach resonance, we show that the feedback process can operate with a much higher efficiency.
6 pages, 7 figures
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- Feedback control of an interacting Bose-Einstein condensate using phase-contrast imaging
- General limit to non-destructive optical detection of atoms
- Effects of Measurement back-action in the stabilization of a Bose-Einstein condensate through feedback
- Feedback Induced Magnetic Phases in Binary Bose-Einstein Condensates
- Number-Phase Wigner Representation for Scalable Stochastic Simulations of Controlled Quantum Systems
- Feedback cooled Bose-Einstein condensation: near and far from equilibrium
- Stabilizing an atom laser using spatially selective pumping and feedback
- Solution of inverse problem for Gross-Pitaevskii equation with artificial neural networks
- Fundamental Limits of Feedback Cooling Ultracold Atomic Gases
- Multimode feedback cooling of the collective modes of a Bose-Einstein condensate