Nonlinear tunneling in two-dimensional lattices

Details Nonlinear tunneling in two-dimensional lattices Nonlinear tunneling in two-dimensional lattices

2007-09-25

arxiv.org/abs/0709.3900v1

Phys. Rev. A 76, 023608 (2007)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevA.76.023608

We present thorough analysis of the nonlinear tunneling of Bose-Einstein condensates in static and accelerating two-dimensional lattices within the framework of the mean-field approximation. We deal with nonseparable lattices considering different initial atomic distributions in the highly symmetric states. For analytical description of the condensate before instabilities are developed, we derive several few-mode models, analyzing both essentially nonlinear and quasi-linear regimes of tunneling. By direct numerical simulations, we show that two-mode models provide accurate description of the tunneling when either initially two states are populated or tunneling occurs between two stable states. Otherwise a two-mode model may give only useful qualitative hints for understanding tunneling but does not reproduce many features of the phenomenon. This reflects crucial role of the instabilities developed due to two-body interactions resulting in non-negligible population of the higher bands. This effect becomes even more pronounced in the case of accelerating lattices. In the latter case we show that the direction of the acceleration is a relevant physical parameter which affects the tunneling by changing the atomic rates at different symmetric states and by changing the numbers of bands involved in the atomic transfer.

Affiliated with

Also associated with

No associations

Rating

Nonlinear tunneling in two-dimensional lattices 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 Nonlinear tunneling in two-dimensional lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear tunneling in two-dimensional lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-626152