Frictionless atom cooling in harmonic traps: a time-optimal approach

Details Frictionless atom cooling in harmonic traps: a time-optimal approach Frictionless atom cooling in harmonic traps: a time-optimal approach

2010-12-07

arxiv.org/abs/1012.1642v1

Physics

Quantum Physics

This paper has been submitted to Phys. Rev. A since 13/09/2010

Scientific paper

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 trasient time intervals during which the trap becomes an expulsive parabolic potential. We show that the minimum time solution has "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.

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