Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-08-29
J. Phys. A 38, 8393 (2005)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
24 pages, 5 figures, accepted for publication on J. Phys. A
Scientific paper
10.1088/0305-4470/38/39/007
We determine the low-energy spectrum and the eigenstates for a two-bosonic mode nonlinear model by applying the In\"{o}n\"{u}-Wigner contraction method to the Hamiltonian algebra. This model is known to well represent a Bose-Einstein condensate rotating in a thin torus endowed with two angular-momentum modes as well as a condensate in a double-well potential characterized by two space modes. We consider such a model in the presence of both an attractive and a repulsive boson interaction and investigate regimes corresponding to different values of the inter-mode tunneling parameter. We show that the results ensuing from our approach are in many cases extremely satisfactory. To this end we compare our results with the ground state obtained both numerically and within a standard semiclassical approximation based on su(2) coherent states.
Buonsante Pierfrancesco
Franco Riccardo
Penna Vittorio
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