TY - JOUR
T1 - Frictionless atom cooling in harmonic traps
T2 - A time-optimal approach
AU - Stefanatos, Dionisis
AU - Ruths, Justin
AU - Li, Jr Shin
PY - 2010/12/30
Y1 - 2010/12/30
N2 - In this article we formulate frictionless atom cooling in harmonic traps as a time-optimal control problem, permitting imaginary values of the trap frequency for transient time intervals during which the trap becomes an expulsive parabolic potential. We show that the minimum time solution has a "bang-bang" form, where the frequency jumps suddenly at certain instants and then remains constant, and calculate estimates of the minimum cooling time for various numbers of such jumps. A numerical optimization method based on pseudospectral approximations is used to obtain suboptimal realistic solutions without discontinuities, which may be implemented experimentally.
AB - In this article we formulate frictionless atom cooling in harmonic traps as a time-optimal control problem, permitting imaginary values of the trap frequency for transient time intervals during which the trap becomes an expulsive parabolic potential. We show that the minimum time solution has a "bang-bang" form, where the frequency jumps suddenly at certain instants and then remains constant, and calculate estimates of the minimum cooling time for various numbers of such jumps. A numerical optimization method based on pseudospectral approximations is used to obtain suboptimal realistic solutions without discontinuities, which may be implemented experimentally.
UR - http://www.scopus.com/inward/record.url?scp=78650996089&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.82.063422
DO - 10.1103/PhysRevA.82.063422
M3 - Article
AN - SCOPUS:78650996089
SN - 1050-2947
VL - 82
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 063422
ER -