An effective-mass theory for bright gap solitons in optical lattices

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Title:	An effective-mass theory for bright gap solitons in optical lattices
Authors:	Cheng, S.C.
Contributors:	物理學系
Date:	2005
Issue Date:	2009-10-30 14:42:04 (UTC+8)
Abstract:	A one-band effective-mass (EFM) theory was developed to study, the properties of the localized states of a Bose-Einstein condensate (BEC) in a periodic optical potential with either attractive or repulsive atom interactions. The localized states of the BEC are solitons in the gaps or gap solitons. The analytic solutions of the gap solitons are a Bloch function from periodicity, modulated by a soliton envelope function of the nonlinear Schrodinger equation. The soliton width is determined by the detuning chemical potential from the band edge. The detuning chemical potential in the nonlinear Schrodinger equation indicates that not all the atoms in the condensate are used for forming gap solitons, and that some atoms form the background of nonlinear modes. The background atoms are determined by the chemical potential at the band edge. The gap solitons form on top of the background atoms.
Relation:	CHINESE JOURNAL OF PHYSICS v.43 n.4 Pages: 835-846
Appears in Collections:	[Department of Physics ] journal articles

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