Motion of a heavy impurity through a Bose-Einstein condensate (5 pages)

By G. Astrakharchik, L. Pitaevskiĭ. 2003

201 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/224df8e3ed4595d216e08cadda68825fd2ffe8cf

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Universal few-body physics and cluster formation (2017, methodology): “y particles, such as the HHL and HHHL and related problems discussed elsewhere in this review. Polarons have received attention in ultracold atom experiments and theory over the past decade or so by (Astrakharchik and Pitaevskii, 2004; Bei-Bing and ShaoLong, 2009; Bruderer et al., 2008; Catani et al”
Superfluid behaviour of a two-dimensional Bose gas (2012, background): “which describes the heating of a 2D superfluid in the presence of a moving point-like defect [16].”