TY - JOUR
T1 - A geometric wave function for a few interacting bosons in a harmonic trap
AU - Wilson, B.
AU - Foerster, A.
AU - Kuhn, C. C.N.
AU - Roditi, I.
AU - Rubeni, D.
N1 - Funding Information:
The authors acknowledge financial support from CAPES (Proc. 10126-12-0 ), CNPq , and FAPERJ . They also thank I. Brouzos and P. Schmelcher for providing some of their data. A.F. thanks M.T. Batchelor, X.W. Guan and Y. Levin for many helpful discussions. I.R. thanks I.S. Oliveira for an interesting exchange of views.
PY - 2014/3/14
Y1 - 2014/3/14
N2 - We establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a combination of the exact wave function solution for contact interactions and the asymptotic behavior of the harmonic potential solution we obtain the ground state energy, probability density and profiles of a few boson system in a harmonic trap. We are able to access all regimes, ranging from the strongly attractive to the strongly repulsive one with an original and simple formulation.
AB - We establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a combination of the exact wave function solution for contact interactions and the asymptotic behavior of the harmonic potential solution we obtain the ground state energy, probability density and profiles of a few boson system in a harmonic trap. We are able to access all regimes, ranging from the strongly attractive to the strongly repulsive one with an original and simple formulation.
UR - http://www.scopus.com/inward/record.url?scp=84897026936&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2014.02.009
DO - 10.1016/j.physleta.2014.02.009
M3 - Article
AN - SCOPUS:84897026936
SN - 0375-9601
VL - 378
SP - 1065
EP - 1070
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 16-17
ER -