Tuesday, April 30, 2013

1304.7567 (Daisuke A. Takahashi)

An Integrable Model for Density-Modulated Quantum Condensates    [PDF]

Daisuke A. Takahashi
An integrable model possessing inhomogeneous ground states is proposed. The model is a higher-order analog of the nonlinear Schr\"odinger equation. The inverse scattering theory with the elliptic-functional background is formulated, and the N-soliton solution is obtained as a particular solution. We provide the exact bosonic and fermionic quasiparticle eigenstates and reveal various kinds of dynamics such as dark soliton billiards, dislocations, gray solitons, and envelope solitons.
View original: http://arxiv.org/abs/1304.7567

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