Any-order propagation of the nonlinear Schroedinger equation

Details Any-order propagation of the nonlinear Schroedinger equation Any-order propagation of the nonlinear Schroedinger equation

2007-07-27

arxiv.org/abs/0707.4164v1

Physics

Quantum Physics

10 pages, no figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.76.046701

We derive an exact propagation scheme for nonlinear Schroedinger equations. This scheme is entirely analogous to the propagation of linear Schroedinger equations. We accomplish this by defining a special operator whose algebraic properties ensure the correct propagation. As applications, we provide a simple proof of a recent conjecture regarding higher-order integrators for the Gross-Pitaevskii equation, extend it to multi-component equations, and to a new class of integrators.

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