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Open Quantum Systems Decoherence

Any-order propagation of the nonlinear Schroedinger equation

arXiv

Authors: Frederick W. Strauch

Year

2007

Paper ID

49535

Status

Preprint

Abstract Read

~2 min

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Abstract

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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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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We derive an exact propagation scheme for nonlinear Schroedinger equations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.4164 [2] arXiv https://arxiv.org/abs/0707.4164 [3] Publisher https://arxiv.org/abs/0707.4164

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