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Open Quantum Systems Decoherence

Efficient time integration methods for Gross--Pitaevskii equations with rotation term

arXiv
Authors: Philipp Bader, Sergio Blanes, Fernando Casas, Mechthild Thalhammer

Year

2019

Paper ID

15252

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

The objective of this work is the introduction and investigation of favourable time integration methods for the Gross--Pitaevskii equation with rotation term. Employing a reformulation in rotating Lagrangian coordinates, the equation takes the form of a nonlinear Schr{ö}dinger equation involving a space-time-dependent potential. A natural approach that combines commutator-free quasi-Magnus exponential integrators with operator splitting methods and Fourier spectral space discretisations is proposed. Furthermore, the special structure of the Hamilton operator permits the design of specifically tailored schemes. Numerical experiments confirm the good performance of the resulting exponential 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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  • The objective of this work is the introduction and investigation of favourable time integration methods for the Gross--Pitaevskii equation with rotation term.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1910.12097 [2] arXiv https://arxiv.org/abs/1910.12097 [3] Publisher https://arxiv.org/abs/1910.12097

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