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

被引：95

作者：

Stefanatos, Dionisis ^{[1
]}

Ruths, Justin ^{[1
]}

Li, Jr-Shin ^{[1
]}

机构：

[1] Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA

来源：

PHYSICAL REVIEW A | 2010年 / 82卷 / 06期

基金：

美国国家科学基金会;

关键词：

All Open Access; Green;

D O I：

10.1103/PhysRevA.82.063422

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.

引用

页数：8

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