Bose-Einstein condensates in optical lattices: Band-gap structure and solitons

By P. J. Louis, E. Ostrovskaya, C. Savage, Yuri Kivshar. 2002

190 citations recorded by the source corpus.

We analyze the existence and stability of spatially extended (Bloch-type) and localized states of a Bose-Einstein condensate loaded into an optical lattice. In the framework of the Gross-Pitaevskii equation with a periodic potential, we study the band-gap structure of the matter-wave spectrum in both the linear and nonlinear regimes. We demonstrate the existence of families of spatially localized matter-wave gap solitons, and analyze their stability in different band gaps, for both repulsive and attractive atomic interactions.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/685a93c1d866893a86a0cbb667fc5172e1b33dfb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. O. Morsch
2. Markus K. Oberthaler
3. Boris A. Malomed

In Statistical and Nonlinear Physics

1. O. Morsch
2. Markus K. Oberthaler
3. Boris A. Malomed

Citations in the corpus

• Dynamics of Bose-Einstein condensates in optical lattices (2006, methodology): “In the work of Louis et al. 2003 and Ahufinger and Sanpera 2005 it becomes clear that although solitonic solutions do exist, they exhibit structure on the length scale of the periodicity, which in the discussion thus far has not been included.”