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Families of matter-waves in two-component Bose-Einstein condensates
Family solutions bicomponent nonlinear schrodinger equation linear stability condensate
2014/12/29
We produce several families of solutions for two-component nonlinear Schrödinger/Gross-Pitaevskii equations. These include domain walls and the first example of an antidark or gray soliton in one...
Spontaneous symmetry breaking of photonic and matter waves in two-dimensional pseudopotentials
Spontaneous symmetry breaking photonic matter waves two-dimensional pseudopotentials
2011/7/6
We introduce the two-dimensional Gross-Pitaevskii/nonlinear-Schrodinger (GP/NLS) equation with the self-focusing nonlinearity confined to two identical circles, separated or overlapped. The model can ...
Exact solutions for periodic and solitary matter waves in nonlinear lattices
Exact solutions periodic solitary matter waves nonlinear lattices
2010/12/28
We produce three vast classes of exact periodic and solitonic solutions to the one-dimensional
Gross-Pitaevskii equation (GPE) with the pseudopotential in the form of a nonlinear lattice (NL),induced...
Gravitational Redshift, Equivalence Principle, and Matter Waves
Gravitational Redshift Equivalence Principle Matter Waves
2010/10/27
We review matter wave and clock comparison tests of the gravitational redshift. To elucidate
their relationship to tests of the universality of free fall (UFF), we define scenarios wherein redshift v...
General Formulation of the Scattered Matter Waves by a Quantum Shutter
Edge diffraction Schrö dinger equation Diffraction in time
2010/4/8
The scattering process of matter waves by a quantum shutter is investigated by using the spectrum integral representation. The scattered fields are expressed in terms of the Fresnel function. It is sh...