Motion of a heavy impurity through a Bose-Einstein condensate

被引:259
作者
Astrakharchik, GE [1 ]
Pitaevskii, LP
机构
[1] Univ Trent, Dipartimento Fis, I-38050 Trento, Italy
[2] Ist Nazl Fis Mat, I-38050 Trento, Italy
[3] Inst Spect, Troitsk 142190, Moscow Region, Russia
[4] PL Kapitza Phys Problems Inst, Moscow 119334, Russia
来源
PHYSICAL REVIEW A | 2004年 / 70卷 / 01期
关键词
D O I
10.1103/PhysRevA.70.013608
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study the motion of a pointlike impurity in a Bose-Einstein condensate at T=0. By solving the Guinier-Preston (GP) equation in a perturbative manner we calculate the induced mass of the impurity and the drag force on the impurity in three-, two-, and one-;dimensional (1D) cases. The relationship between the induced mass and the normal mass of fluid is found, and coincides with the result of the Bogoliubov theory. The drag force appears for the supersonic motion of the impurity. In 1D the drag force is investigated also on the basis of the exact Lieb-Liniger theory, using the dynamic form factor, which has been evaluated by the Haldane method of the calculation of correlation functions. In this theory the force appears for an arbitrarily small velocity of the impurity. The possibility of measuring the form factor in existing experiments is noted.
引用
收藏
页码:013608 / 1
页数:5
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