The two-site Bose--Hubbard model

Details The two-site Bose--Hubbard model The two-site Bose--Hubbard model

2006-05-19

arxiv.org/abs/cond-mat/0605486v1

Physics

Condensed Matter

Other Condensed Matter

10 pages, 5 figures, submitted for publication in Annales Henri Poincare

Scientific paper

10.1007/s00023-006-0295-3

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.

Affiliated with

Also associated with

No associations

Rating

The two-site Bose--Hubbard model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The two-site Bose--Hubbard model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The two-site Bose--Hubbard model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-351966