Superfluidity in dilute trapped Bose gases
Lieb É, Seiringer R, Yngvason J. 2002. Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics. 66(13).
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Author
Lieb, Élliott;
Seiringer, RobertISTA ;
Yngvason, Jakob
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.
Publishing Year
Date Published
2002-10-01
Journal Title
Physical Review B - Condensed Matter and Materials Physics
Publisher
American Physical Society
Acknowledgement
E.H.L. was partially supported by the U.S. National Science Foundation, Grant No. PHY 98-20650. R.S. was supported by the Austrian Science Fund in the from of an Erwin Schrödinger fellowship.
Volume
66
Issue
13
ISSN
IST-REx-ID
Cite this
Lieb É, Seiringer R, Yngvason J. Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics. 2002;66(13). doi:10.1103/PhysRevB.66.134529
Lieb, É., Seiringer, R., & Yngvason, J. (2002). Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics. American Physical Society. https://doi.org/10.1103/PhysRevB.66.134529
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Superfluidity in Dilute Trapped Bose Gases.” Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2002. https://doi.org/10.1103/PhysRevB.66.134529.
É. Lieb, R. Seiringer, and J. Yngvason, “Superfluidity in dilute trapped Bose gases,” Physical Review B - Condensed Matter and Materials Physics, vol. 66, no. 13. American Physical Society, 2002.
Lieb É, Seiringer R, Yngvason J. 2002. Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics. 66(13).
Lieb, Élliott, et al. “Superfluidity in Dilute Trapped Bose Gases.” Physical Review B - Condensed Matter and Materials Physics, vol. 66, no. 13, American Physical Society, 2002, doi:10.1103/PhysRevB.66.134529.
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arXiv cond-mat/0205570