Quantum Dynamics of Coupled Bosonic Wells within the Bose-Hubbard Picture

Details Quantum Dynamics of Coupled Bosonic Wells within the Bose-Hubbard Picture Quantum Dynamics of Coupled Bosonic Wells within the Bose-Hubbard Picture

2002-05-10

arxiv.org/abs/cond-mat/0205209v1

Int. J. MOd. Phys. B 14 (2000) 943-961

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

22 pages, 7 figures

Scientific paper

10.1142/S0217979200001011

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.

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