Fragmented many-body states of definite angular momentum and stability of attractive three-dimensional condensates

A three-dimensional attractive Bose-Einstein condensate is expected to collapse when the number of the particles N in the ground state or the interaction strength λ0 exceeds a critical value. We study systems of different particle numbers and interaction strength and find that even if the overall gr...

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Main Authors: Tsatsos, Marios (Author) , Streltsov, Alexej Iwanowitsch (Author) , Alon, Ofir E. (Author) , Cederbaum, Lorenz S. (Author)
Format: Article (Journal)
Language:English
Published: 20 September 2010
In: Physical review. A, Atomic, molecular, and optical physics
Year: 2010, Volume: 82, Issue: 3, Pages: 1-17
ISSN:1094-1622
DOI:10.1103/PhysRevA.82.033613
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.82.033613
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.82.033613
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Author Notes:Marios C. Tsatsos, Alexej I. Streltsov, Ofir E. Alon, and Lorenz S. Cederbaum
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Summary:A three-dimensional attractive Bose-Einstein condensate is expected to collapse when the number of the particles N in the ground state or the interaction strength λ0 exceeds a critical value. We study systems of different particle numbers and interaction strength and find that even if the overall ground state is collapsed there is a plethora of fragmented excited states that are still in the metastable region. Utilizing the configuration interaction expansion we determine the spectrum of the ground (“yrast”) and excited many-body states with definite total angular-momentum quantum numbers 0⩽L⩽N and −L⩽ML⩽L, and we find and examine states that survive the collapse. This opens up the possibility of realizing a metastable system with overcritical numbers of bosons in a ground state with angular momentum L≠0. The multiorbital mean-field theory predictions about the existence of fragmented metastable states with overcritical numbers of bosons are verified and elucidated at the many-body level. The descriptions of the total angular momentum within the mean-field and the many-body approaches are compared.
Item Description:Gesehen am 19.01.2024
Physical Description:Online Resource
ISSN:1094-1622
DOI:10.1103/PhysRevA.82.033613