Spectral Properties of Coupled Bose-Einstein Condensates

Details Spectral Properties of Coupled Bose-Einstein Condensates Spectral Properties of Coupled Bose-Einstein Condensates

2000-06-28

arxiv.org/abs/cond-mat/0006446v2

Phys. Rev. A 63, 043609-1 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 3 figures; submitted to Phys. Rev. A. The present extended form replaces the first version in the letter format

Scientific paper

10.1103/PhysRevA.63.043609

We investigate the energy spectrum structure of a system of two (identical) interacting bosonic wells occupied by N bosons within the Schwinger realization of the angular momentum. This picture enables us to recognize the symmetry properties of the system Hamiltonian H and to use them for characterizing the energy eigenstates. Also, it allows for the derivation of the single-boson picture which is shown to be the background picture naturally involved by the secular equation for H. After deriving the corresponding eigenvalue equation, we recast it in a recursive N-dependent form which suggests a way to generate the level doublets (characterizing the H spectrum) via suitable inner parameters. Finally, we show how the presence of doublets in the spectrum allows to recover, in the classical limit, the symmetry breaking effect that characterizes the system classically.

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