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Bright solitons in coupled defocusing NLS equation supported by coupling: application to Bose-Einstein condensation. (English) Zbl 1195.82017

Summary: We demonstrate the formation of bright solitons in coupled self-defocusing nonlinear Schrödinger (NLS) equation supported by attractive coupling. As an application we use a time-dependent dynamical mean-field model to study the formation of stable bright solitons in two-component repulsive Bose-Einstein condensates (BECs) supported by interspecies attraction in a quasi one-dimensional geometry. When all interactions are repulsive, there cannot be bright solitons. However, bright solitons can be formed in two-component repulsive BECs for a sufficiently attractive interspecies interaction, which induces an attractive effective interaction among bosons of same type.

MSC:

82B26 Phase transitions (general) in equilibrium statistical mechanics
35Q55 NLS equations (nonlinear Schrödinger equations)
35Q51 Soliton equations
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