TY - JOUR

T1 - Fragmented many-body states of definite angular momentum and stability of attractive three-dimensional condensates

AU - Tsatsos, Marios C.

AU - Streltsov, Alexej I.

AU - Alon, Ofir E.

AU - Cederbaum, Lorenz S.

PY - 2010/9/20

Y1 - 2010/9/20

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77957125709&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.82.033613

DO - 10.1103/PhysRevA.82.033613

M3 - Article

AN - SCOPUS:77957125709

SN - 1050-2947

VL - 82

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 3

M1 - 033613

ER -