Superfluidity in dilute trapped Bose gases

Elliott H. Lieb; Robert Seiringer; Jakob Yngvason

doi:10.1007/3-540-27056-6_53

Superfluidity in dilute trapped Bose gases

Elliott H. Lieb, Robert Seiringer, Jakob Yngvason

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

2 Scopus citations

Abstract

A commonly used cheoretical definition of superfluidity in the ground scate 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 ease 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)
Title of host publication	The Stability of Matter
Subtitle of host publication	From Atoms to Stars: Fourth Edition
Publisher	Springer Berlin Heidelberg
Pages	903-908
Number of pages	6
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_53
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1007/3-540-27056-6_53

Cite this

@inbook{a60cdb96e9604ddf98688c2730e3cf36,

title = "Superfluidity in dilute trapped Bose gases",

abstract = "A commonly used cheoretical definition of superfluidity in the ground scate 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 ease 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.",

author = "Lieb, \{Elliott H.\} and Robert Seiringer and Jakob Yngvason",

year = "2005",

doi = "10.1007/3-540-27056-6\_53",

language = "English (US)",

isbn = "3540420835",

pages = "903--908",

booktitle = "The Stability of Matter",

publisher = "Springer Berlin Heidelberg",

}

TY - CHAP

T1 - Superfluidity in dilute trapped Bose gases

AU - Lieb, Elliott H.

AU - Seiringer, Robert

AU - Yngvason, Jakob

PY - 2005

Y1 - 2005

N2 - A commonly used cheoretical definition of superfluidity in the ground scate 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 ease 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.

AB - A commonly used cheoretical definition of superfluidity in the ground scate 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 ease 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.

UR - https://www.scopus.com/pages/publications/84892246839

UR - https://www.scopus.com/inward/citedby.url?scp=84892246839&partnerID=8YFLogxK

U2 - 10.1007/3-540-27056-6_53

DO - 10.1007/3-540-27056-6_53

M3 - Chapter

AN - SCOPUS:84892246839

SN - 3540420835

SN - 9783540222125

SP - 903

EP - 908

BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

Superfluidity in dilute trapped Bose gases

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this