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 -