Superfluidity in Dilute Trapped Bose Gases
arXiv:cond-mat/0205570 · doi:10.1103/PhysRevB.66.134529
Abstract
A commonly used theoretical definition of superfluidity in the ground state of a Bose gas is based on the response of the system to an imposed velocity field or, equivalently, to twisted boundary conditions in a box. We are able to carry out this program in the case of a dilute interacting Bose gas in a trap. We prove that a gas with repulsive interactions is 100% superfluid in the dilute limit in which the Gross-Pitaevskii equation is exact. This is the first example in an experimentally realistic continuum model in which superfluidity is rigorously verified.
Revised version; RevTeX4, 6 pages
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