Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices

Details Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices

2011-02-16

arxiv.org/abs/1102.3349v1

Physics

Condensed Matter

Quantum Gases

Scientific paper

We investigate theoretically soliton excitations and dynamics of their formation in strongly correlated systems of ultracold bosonic atoms in two and three dimensional optical lattices. We derive equations of nonlinear hydrodynamics in the regime of strong interactions and incommensurate fillings, when atoms can be treated as hard core bosons. When parameters change in one direction only we obtain Korteweg-de Vries type equation away from half-filling and modified KdV equation at half-filling. We apply this general analysis to a problem of the decay of the density step. We consider stability of one dimensional solutions to transverse fluctuations. Our results are also relevant for understanding nonequilibrium dynamics of lattice spin models.

Affiliated with

Also associated with

No associations

Rating

Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical 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 Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-417356