Frictionless decompression in minimum time of Bose-Einstein condensates in the Thomas-Fermi regime

被引:17
作者
Stefanatos, Dionisis [1 ]
Li, Jr-Shin [1 ]
机构
[1] Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA
来源
PHYSICAL REVIEW A | 2012年 / 86卷 / 06期
基金
美国国家科学基金会;
关键词
ADIABATICITY; DYNAMICS; GAS;
D O I
10.1103/PhysRevA.86.063602
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper we study a fast adiabatic-like expansion of a one-dimensional Bose-Einstein condensate (BEC) in the Thomas-Fermi regime confined in a harmonic potential, using the theory of time-optimal control. We find that under reasonable assumptions suggested by the experimental setup, the minimum-time expansion occurs when the frequency of the potential changes in a bang-bang form between the permitted values. We calculate the necessary expansion time and compare it with that obtained using the state-of-the-art inverse engineering method under the same constraints. We also show that this minimum time scales logarithmically with the expansion factor for large values of the latter. This work is expected to find applications in areas where efficient manipulation of a BEC is of utmost importance, for example, in atom interferometry with a BEC.
引用
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页数:7
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