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

Pearl J.Y. Louis; Elena A. Ostrovskaya; Craig M. Savage; Yuri S. Kivshar

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

Pearl J.Y. Louis^*, Elena A. Ostrovskaya, Craig M. Savage, Yuri S. Kivshar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

234 Citations (Scopus)

Abstract

The stationary states and stability of the condensate in an optical lattice, in the framework of the Gross-Pitaevskii (GP) equation with a periodic potential were analyzed. It was confirmed that some of the earlier prediction for the condensate structure based on the effective tight-binding model, as well as revealed a number of features not described by the effective discrete models. It was demonstrated that the spectrum of such periodic modes possesses a band-gap structure, which depends on the number of atoms.

Original language	English
Article number	013602
Pages (from-to)	013602/1-013602/9
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	67
Issue number	1
Publication status	Published - Jan 2003

Cite this

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title = "Bose-Einstein condensates in optical lattices: Band-gap structure and solitons",

abstract = "The stationary states and stability of the condensate in an optical lattice, in the framework of the Gross-Pitaevskii (GP) equation with a periodic potential were analyzed. It was confirmed that some of the earlier prediction for the condensate structure based on the effective tight-binding model, as well as revealed a number of features not described by the effective discrete models. It was demonstrated that the spectrum of such periodic modes possesses a band-gap structure, which depends on the number of atoms.",

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AU - Kivshar, Yuri S.

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AB - The stationary states and stability of the condensate in an optical lattice, in the framework of the Gross-Pitaevskii (GP) equation with a periodic potential were analyzed. It was confirmed that some of the earlier prediction for the condensate structure based on the effective tight-binding model, as well as revealed a number of features not described by the effective discrete models. It was demonstrated that the spectrum of such periodic modes possesses a band-gap structure, which depends on the number of atoms.

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

Abstract

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