Bose-Hubbard model with attractive interactions

Details Bose-Hubbard model with attractive interactions Bose-Hubbard model with attractive interactions

2005-01-19

arxiv.org/abs/cond-mat/0501470v1

Physics

Condensed Matter

Statistical Mechanics

4 pager, 5 figures, accepted for publication in PRA

Scientific paper

10.1103/PhysRevA.71.023610

We consider the Bose-Hubbard model of atoms in an optical lattice potential when the atom-atom interactions are attractive. If the lowest energy lattice sites are degenerate (such as in the homogeneous case), then, at a critical value of the interaction strength, a phase-coherent condensate becomes unstable to a quantum superposition such that the number distribution of each of the degenerate sites becomes double peaked. In the limit when the interaction dominates, the superposition becomes macroscopic and has the form $|\psi>\propto\sum_{j} e^{i\phi_{j}}\hat{b}^{\dagger N}_{j}|{\rm vac}>$, where $N$ is the total number of atoms and the sum ranges over the energy-degenerate sites.

Affiliated with

Also associated with

No associations

Rating

Bose-Hubbard model with attractive interactions 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 Bose-Hubbard model with attractive interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bose-Hubbard model with attractive interactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-641080