Multi-vortex phase transitions in rotating Bose-Einstein condensates

O. K. Vorov; P. Van Isacker; M. S. Hussein; S. Yu Kun; K. Bartschat

doi:10.1063/1.1996873

Multi-vortex phase transitions in rotating Bose-Einstein condensates

O. K. Vorov^*, P. Van Isacker, M. S. Hussein, S. Yu Kun, K. Bartschat

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

We study the lowest energy states of a weakly interacting trapped atomic Bose-Einstein condensate in both quantum and classical cases. An analytic expression for the ground-state wavefunction of a rotating Gross-Pitaevskii condensate of trapped atoms describes the onset of vorticity in an accelerated trap, starting from the vortex entry followed by formation of growing symmetric Wigner molecules. Within a unified picture, it explains the staircase of the angular momentum jumps and the behavior of the bosonic occupancies observed in numerical and variational studies. The similarity of this behavior and mesoscopic superconductors is discussed.

Original language	English
Title of host publication	NUCLEI AND MESOSCOPIC PHYSICS
Subtitle of host publication	Workshop on Nuclei and Mesoscopic Physics, WNMP 2004
Pages	72-83
Number of pages	12
DOIs	https://doi.org/10.1063/1.1996873
Publication status	Published - 8 Jul 2005
Event	NUCLEI AND MESOSCOPIC PHYSICS: Workshop on Nuclei and Mesoscopic Physics, WNMP 2004 - East Lansing, MI, United States Duration: 23 Oct 2004 → 26 Oct 2004

Publication series

Name	AIP Conference Proceedings
Volume	777
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	NUCLEI AND MESOSCOPIC PHYSICS: Workshop on Nuclei and Mesoscopic Physics, WNMP 2004
Country/Territory	United States
City	East Lansing, MI
Period	23/10/04 → 26/10/04

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10.1063/1.1996873

Cite this

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title = "Multi-vortex phase transitions in rotating Bose-Einstein condensates",

abstract = "We study the lowest energy states of a weakly interacting trapped atomic Bose-Einstein condensate in both quantum and classical cases. An analytic expression for the ground-state wavefunction of a rotating Gross-Pitaevskii condensate of trapped atoms describes the onset of vorticity in an accelerated trap, starting from the vortex entry followed by formation of growing symmetric Wigner molecules. Within a unified picture, it explains the staircase of the angular momentum jumps and the behavior of the bosonic occupancies observed in numerical and variational studies. The similarity of this behavior and mesoscopic superconductors is discussed.",

keywords = "Atomic trap, BEC, Gross-Pitaevskii equation, Vortices",

author = "Vorov, {O. K.} and {Van Isacker}, P. and Hussein, {M. S.} and Kun, {S. Yu} and K. Bartschat",

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doi = "10.1063/1.1996873",

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Vorov, OK, Van Isacker, P, Hussein, MS, Kun, SY & Bartschat, K 2005, Multi-vortex phase transitions in rotating Bose-Einstein condensates. in NUCLEI AND MESOSCOPIC PHYSICS: Workshop on Nuclei and Mesoscopic Physics, WNMP 2004. AIP Conference Proceedings, vol. 777, pp. 72-83, NUCLEI AND MESOSCOPIC PHYSICS: Workshop on Nuclei and Mesoscopic Physics, WNMP 2004, East Lansing, MI, United States, 23/10/04. https://doi.org/10.1063/1.1996873

TY - GEN

T1 - Multi-vortex phase transitions in rotating Bose-Einstein condensates

AU - Vorov, O. K.

AU - Van Isacker, P.

AU - Hussein, M. S.

AU - Kun, S. Yu

AU - Bartschat, K.

PY - 2005/7/8

Y1 - 2005/7/8

N2 - We study the lowest energy states of a weakly interacting trapped atomic Bose-Einstein condensate in both quantum and classical cases. An analytic expression for the ground-state wavefunction of a rotating Gross-Pitaevskii condensate of trapped atoms describes the onset of vorticity in an accelerated trap, starting from the vortex entry followed by formation of growing symmetric Wigner molecules. Within a unified picture, it explains the staircase of the angular momentum jumps and the behavior of the bosonic occupancies observed in numerical and variational studies. The similarity of this behavior and mesoscopic superconductors is discussed.

AB - We study the lowest energy states of a weakly interacting trapped atomic Bose-Einstein condensate in both quantum and classical cases. An analytic expression for the ground-state wavefunction of a rotating Gross-Pitaevskii condensate of trapped atoms describes the onset of vorticity in an accelerated trap, starting from the vortex entry followed by formation of growing symmetric Wigner molecules. Within a unified picture, it explains the staircase of the angular momentum jumps and the behavior of the bosonic occupancies observed in numerical and variational studies. The similarity of this behavior and mesoscopic superconductors is discussed.

KW - Atomic trap

KW - BEC

KW - Gross-Pitaevskii equation

KW - Vortices

UR - http://www.scopus.com/inward/record.url?scp=28844483986&partnerID=8YFLogxK

U2 - 10.1063/1.1996873

DO - 10.1063/1.1996873

M3 - Conference contribution

SN - 0735402639

SN - 9780735402638

T3 - AIP Conference Proceedings

SP - 72

EP - 83

BT - NUCLEI AND MESOSCOPIC PHYSICS

T2 - NUCLEI AND MESOSCOPIC PHYSICS: Workshop on Nuclei and Mesoscopic Physics, WNMP 2004

Y2 - 23 October 2004 through 26 October 2004

ER -

Multi-vortex phase transitions in rotating Bose-Einstein condensates

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