Affordable Access

deepdyve-link
Publisher Website

The two-site Bose--Hubbard model

Authors
  • Links, J.
  • Foerster, A.
  • Tonel, A.
  • Santos, G.
Type
Preprint
Publication Date
May 19, 2006
Submission Date
May 19, 2006
Identifiers
DOI: 10.1007/s00023-006-0295-3
arXiv ID: cond-mat/0605486
Source
arXiv
License
Unknown
External links

Abstract

The two-site Bose--Hubbard model is a simple model used to study Josephson tunneling between two Bose--Einstein condensates. In this work we give an overview of some mathematical aspects of this model. Using a classical analysis, we study the equations of motion and the level curves of the Hamiltonian. Then, the quantum dynamics of the model is investigated using direct diagonalisation of the Hamiltonian. In both of these analyses, the existence of a threshold coupling between a delocalised and a self-trapped phase is evident, in qualitative agreement with experiments. We end with a discussion of the exact solvability of the model via the algebraic Bethe ansatz.

Report this publication

Statistics

Seen <100 times