---
_id: '2353'
abstract:
- lang: eng
  text: 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.
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.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Élliott
  full_name: Lieb, Élliott
  last_name: Lieb
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jakob
  full_name: Yngvason, Jakob
  last_name: Yngvason
citation:
  ama: 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>
  apa: 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>
  chicago: 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>.
  ieee: 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.
  ista: Lieb É, Seiringer R, Yngvason J. 2002. Superfluidity in dilute trapped Bose
    gases. Physical Review B - Condensed Matter and Materials Physics. 66(13).
  mla: 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>.
  short: É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter
    and Materials Physics 66 (2002).
date_created: 2018-12-11T11:57:10Z
date_published: 2002-10-01T00:00:00Z
date_updated: 2023-07-25T12:05:47Z
day: '01'
doi: 10.1103/PhysRevB.66.134529
extern: '1'
external_id:
  arxiv:
  - cond-mat/0205570
intvolume: '        66'
issue: '13'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/cond-mat/0205570
month: '10'
oa: 1
oa_version: None
publication: Physical Review B - Condensed Matter and Materials Physics
publication_identifier:
  issn:
  - 0163-1829
publication_status: published
publisher: American Physical Society
publist_id: '4573'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Superfluidity in dilute trapped Bose gases
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 66
year: '2002'
...