Spectral properties of coupled Bose-Einstein condensates

Year: 2001

Authors: Franzosi R., Penna V.

Autors Affiliation: Dipartimento di Fisica & Unità INFM, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy

Abstract: 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 that 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 that 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 us to recover, in the classical limit, the symmetry-breaking effect that characterizes the system classically.

Journal/Review: PHYSICAL REVIEW A

Volume: 63 (4)      Pages from: 043609-1  to: 043609-8

KeyWords: Approximation theory; Eigenvalues and eigenfunctions; Electron energy levels; Electron traps; Hamiltonians; Recursive functions; Semiconductor quantum wells; Coupled Bose-Einstein condensates, High energy physics
DOI: 10.1103/PhysRevA.63.043609

Citations: 34
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