Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions
نویسندگان
چکیده
The cubic nonlinear Schrödinger equation with repulsive nonlinearity and elliptic function potential in two-dimensions models a repulsive dilute gas Bose–Einstein condensate in a lattice potential. A family of exact stationary solutions is presented and its stability is examined using analytical and numerical methods. All stable trivial-phase solutions are off-set from the zero level. Our results imply that a large number of condensed atoms is sufficient to form a stable, periodic condensate.
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Stability of Exact Solutions of the Defocusing Nonlinear Schrr Odinger Equation with Periodic Potential in Two Dimensions
The cubic nonlinear Schrr odinger equation with repulsive nonlinearity and elliptic function potential in two-dimensions models a repulsive dilute gas Bose{Einstein condensate in a lattice potential. A family of exact stationary solutions is presented and its stability is examined using analytical and numerical methods. All stable trivial-phase solutions are oo-set from the zero level. Our resu...
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