Quantum dynamics of coupled bosonic wells within the Bose-Hubbard picture

Year: 2000

Authors: Franzosi R., Penna V., Zecchina R.

Autors Affiliation: Dipartimento di Fisica & Unità INFM, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy; Condensed Matter Section, International Center of Theoretical Physics, Strada Costiera 11, 34100 – Trieste, Italy

Abstract: We relate the quantum dynamics of the Bose-Hubbard model (BHM) to the semiclassical nonlinear equations that describe an array of interacting Bose condensates by implementing a standard variational procedure based on the coherent state method. We investigate the dynamics of the two-site BHM from the purely quantum viewpoint by recasting first the model within a spin picture and using then the related dynamical algebra. The latter allows us to study thoroughly the energy spectrum structure and to interpret quantally the classical symmetries of the two-site dynamics. The energy spectrum is also evaluated through various approximations relying on the coherent state approach.

Journal/Review: INTERNATIONAL JOURNAL OF MODERN PHYSICS B

Volume: 14 (9)      Pages from: 943  to: 961

KeyWords: adsorption; article; dynamics; energy; mathematical analysis; quantum mechanics; spectrum
DOI: 10.1142/S0217979200001011

Citations: 55
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