TY - JOUR
T1 - Robustness of system-filter separation for the feedback control of a quantum harmonic oscillator undergoing continuous position measurement
AU - Szigeti, S. S.
AU - Adlong, S. J.
AU - Hush, M. R.
AU - Carvalho, A. R.R.
AU - Hope, J. J.
PY - 2013/1/23
Y1 - 2013/1/23
N2 - We consider the effects of experimental imperfections on the problem of estimation-based feedback control of a trapped particle undergoing continuous position measurement. These limitations violate the assumption that the estimator (i.e., filter) accurately models the underlying system, thus requiring a separate analysis of the system and filter dynamics. We quantify the parameter regimes for stable cooling and show that the control scheme is robust to detector inefficiency, time delay, technical noise, and miscalibrated parameters. We apply these results to the specific context of a weakly-interacting Bose-Einstein condensate (BEC). Given that this system has previously been shown to be less stable than a feedback-cooled BEC with strong interatomic interactions, this result shows that reasonable experimental imperfections do not limit the feasibility of cooling a BEC by continuous measurement and feedback.
AB - We consider the effects of experimental imperfections on the problem of estimation-based feedback control of a trapped particle undergoing continuous position measurement. These limitations violate the assumption that the estimator (i.e., filter) accurately models the underlying system, thus requiring a separate analysis of the system and filter dynamics. We quantify the parameter regimes for stable cooling and show that the control scheme is robust to detector inefficiency, time delay, technical noise, and miscalibrated parameters. We apply these results to the specific context of a weakly-interacting Bose-Einstein condensate (BEC). Given that this system has previously been shown to be less stable than a feedback-cooled BEC with strong interatomic interactions, this result shows that reasonable experimental imperfections do not limit the feasibility of cooling a BEC by continuous measurement and feedback.
UR - http://www.scopus.com/inward/record.url?scp=84873049172&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.87.013626
DO - 10.1103/PhysRevA.87.013626
M3 - Article
SN - 1050-2947
VL - 87
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 013626
ER -