TY - JOUR
T1 - Optimal trajectories for efficient atomic transport without final excitation
AU - Chen, Xi
AU - Torrontegui, E.
AU - Stefanatos, Dionisis
AU - Li, Jr Shin
AU - Muga, J. G.
PY - 2011/10/12
Y1 - 2011/10/12
N2 - We design optimal harmonic-trap trajectories to transport cold atoms without final excitation, combining an inverse engineering technique based on Lewis-Riesenfeld invariants with optimal control theory. Since actual traps are not really harmonic, we keep the relative displacement between the center of mass of the transport modes and the trap center bounded. Under this constraint, optimal protocols are found according to different physical criteria. The minimum time solution has a "bang-bang" form, and the minimum displacement solution is of "bang-off-bang" form. The optimal trajectories for minimizing the transient energy are also discussed.
AB - We design optimal harmonic-trap trajectories to transport cold atoms without final excitation, combining an inverse engineering technique based on Lewis-Riesenfeld invariants with optimal control theory. Since actual traps are not really harmonic, we keep the relative displacement between the center of mass of the transport modes and the trap center bounded. Under this constraint, optimal protocols are found according to different physical criteria. The minimum time solution has a "bang-bang" form, and the minimum displacement solution is of "bang-off-bang" form. The optimal trajectories for minimizing the transient energy are also discussed.
UR - http://www.scopus.com/inward/record.url?scp=80053977000&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.84.043415
DO - 10.1103/PhysRevA.84.043415
M3 - Article
AN - SCOPUS:80053977000
SN - 1050-2947
VL - 84
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 4
M1 - 043415
ER -