Condensate bright solitons under transverse confinement
نویسندگان
چکیده
منابع مشابه
Solitons for nearly integrable bright spinor Bose-Einstein condensate
Using the explicit forms of eigenstates for linearized operator related to a matrix version of Nonlinear Schrödinger equation, soliton perturbation theory is developed for the $F=1$ bright spinor Bose-Einstein condensates. A small disturbance of the integrability condition can be considered as a small correction to the integrable equation. By choosing appropriate perturbation, the soli...
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The Bose-Einstein condensate (BEC) of a dilute gas of bosons is well described by the three-dimensional Gross-Pitaevskii equation (3D GPE), that is a nonlinear Schrödinger equation. By imposing a transverse confinement the BEC can travel only in the cylindrical axial direction. We show that in this case the BEC with attractive interaction admits a 3D bright soliton solution which generalizes th...
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We develop a perturbation theory for bright solitons of the F=1 integrable spinor Bose-Einstein condensates BEC model. The formalism is based on using the Riemann-Hilbert problem and provides the means to analytically calculate evolution of the soliton parameters. Both rank-one and rank-two soliton solutions of the model are obtained. We prove equivalence of the rank-one soliton and the ferroma...
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متن کاملBright and Dark Solitons
Departamento de Teoría de la Señal y Comunicaciones e Ingeniería Telemática Universidad de Valladolid, ETSI Telecomunicación, Campus Miguel Delibes s/n 47011 Valladolid, Spain Phone: +34 983 185545, Fax: +34 983 423667, e-mail: [email protected] Joule Physics Laboratory, School of Sciences, Institute of Materials Research University of Salford, Salford M5 4WT, UK Phone: +44 161 295 5079, Fax: +...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2002
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.66.043603