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, and 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.
Original language | English (US) |
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Article number | 134529 |
Pages (from-to) | 1345291-1345296 |
Number of pages | 6 |
Journal | Physical Review B - Condensed Matter and Materials Physics |
Volume | 66 |
Issue number | 13 |
State | Published - Oct 1 2002 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics