Matter-wave solitons with a periodic, piecewise-constant scattering length

Rodrigues, AS; Kevrekidis, PG; Porter, MA; Frantzeskakis, DJ; Schmelcher, P; Bishop, AR

dc.contributor.author	Rodrigues, AS	en
dc.contributor.author	Kevrekidis, PG	en
dc.contributor.author	Porter, MA	en
dc.contributor.author	Frantzeskakis, DJ	en
dc.contributor.author	Schmelcher, P	en
dc.contributor.author	Bishop, AR	en
dc.date.accessioned	2014-03-01T01:57:27Z
dc.date.available	2014-03-01T01:57:27Z
dc.date.issued	2008	en
dc.identifier.issn	1050-2947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28423
dc.subject.classification	Optics	en
dc.subject.classification	Physics, Atomic, Molecular & Chemical	en
dc.subject.other	BOSE-EINSTEIN CONDENSATE	en
dc.subject.other	OPTICAL LATTICES	en
dc.subject.other	FESHBACH RESONANCES	en
dc.subject.other	DARK SOLITONS	en
dc.subject.other	HAMILTONIAN-SYSTEMS	en
dc.subject.other	ULTRACOLD ATOMS	en
dc.subject.other	SOLITARY WAVES	en
dc.subject.other	NEUTRAL ATOMS	en
dc.subject.other	POTENTIALS	en
dc.subject.other	TRAPS	en
dc.title	Matter-wave solitons with a periodic, piecewise-constant scattering length	en
heal.type	journalArticle	en
heal.identifier.secondary	013611	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	Motivated by recent proposals of "collisionally inhomogeneous" Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and stability properties of bright and dark matter-wave solitons of a BEC characterized by a periodic, piecewise-constant scattering length. We use a "stitching" approach to analytically approximate the pertinent solutions of the underlying nonlinear Schrodinger equation by matching the wave function and its derivatives at the interfaces of the nonlinearity coefficient. To accurately quantify the stability of bright and dark solitons, we adapt general tools from the theory of perturbed Hamiltonian systems. We show that stationary solitons must be centered in one of the constant regions of the piecewise-constant nonlinearity. We find both stable and unstable configurations for bright solitons and show that all dark solitons are unstable, with different instability mechanisms that depend on the soliton location. We corroborate our analytical results with numerical computations.	en
heal.publisher	AMER PHYSICAL SOC	en
heal.journalName	PHYSICAL REVIEW A	en
dc.identifier.isi	ISI:000258180300167	en
dc.identifier.volume	78	en
dc.identifier.issue	1	en