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

1 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

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10.1007/3-540-27056-6_53

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AU - Seiringer, Robert

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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.

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M3 - Chapter

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SP - 903

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BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

Superfluidity in dilute trapped Bose gases

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