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Q: Fachverband Quantenoptik und Photonik

Q 3: Quantum Gases: Bosons I

Q 3.8: Vortrag

Montag, 8. März 2010, 15:45–16:00, E 001

Finding stationary states of the Gross-Pitaevskii equation: A numerical approach — •Parimah Kazemi — Universität Ulm, Institut für Quantenphysik, D-89069 Ulm, DE

The Gross-Pitaevskii equation is the starting point for studying many systems of Bose-Einstein condensates and superfluidity. In this work, we present a new method for the direct minimization of the Gross-Pitaevskii (GP) energy with or without rotation. The minimizers of the Gross-Pitaevskii energy correspond to stationary states. Our minimization is based on a gradient descent method using a new approach to enforce the normalization constraint. The new method is implemented in both finite difference and finite element in two and three dimensional settings and used to compute various complex configurations including those with vortices of rotating Bose-Einstein condensates. The new gradient method shows better numerical performances compared to classical gradient methods, especially when high rotation rates and complex trapping potential are considered