article published yes Élliott Lieb author Robert Seiringer author 4AFD0470-F248-11E8-B48F-1D18A9856A870000-0002-6781-0521 Jakob Yngvason author 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. American Physical Society2002 eng 0163-1829 cond-mat/020557010.1103/PhysRevB.66.134529 6613 yes 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.” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 66, no. 13, American Physical Society, 2002, doi:<a href="https://doi.org/10.1103/PhysRevB.66.134529">10.1103/PhysRevB.66.134529</a>. É. Lieb, R. Seiringer, and J. Yngvason, “Superfluidity in dilute trapped Bose gases,” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 66, no. 13. American Physical Society, 2002. Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Superfluidity in Dilute Trapped Bose Gases.” <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society, 2002. <a href="https://doi.org/10.1103/PhysRevB.66.134529">https://doi.org/10.1103/PhysRevB.66.134529</a>. Lieb, É., Seiringer, R., &#38; Yngvason, J. (2002). Superfluidity in dilute trapped Bose gases. <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevB.66.134529">https://doi.org/10.1103/PhysRevB.66.134529</a> É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002). Lieb É, Seiringer R, Yngvason J. Superfluidity in dilute trapped Bose gases. <i>Physical Review B - Condensed Matter and Materials Physics</i>. 2002;66(13). doi:<a href="https://doi.org/10.1103/PhysRevB.66.134529">10.1103/PhysRevB.66.134529</a> 23532018-12-11T11:57:10Z2023-07-25T12:05:47Z