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Mainz 2017 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 31: Poster: Quantum Optics and Photonics I

Q 31.5: Poster

Tuesday, March 7, 2017, 17:00–19:00, P OG1+2

Beyond mean-field dynamics of ultra-cold bosonic atoms in elongated traps — •Valentin Bolsinger1,2, Sven Krönke1,2, and Peter Schmelcher1,21Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany — 2The Hamburg Center for Ultrafast Imaging, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany

We explore numerically the impact of dimensionality on the quantum dynamics of interacting bosons tunneling in a three dimensional double well including particle correlations. Such kind of numerical simulations are very challenging, due to (i) different participating length scales in modeling the short-range interactions in three dimensional traps and (ii) the exponential scaling of complexity with the number of atoms. Also a sketch of our numerical method is given, which is based on the recently developed ab-initio Multi-Layer Multi-Configurational Time- Dependent Hartee method for Bosons (ML-MCTDHB) [J. Chem. Phys. 139, 134103 (2013)], and which uses the fact that in elongated traps strong spatial correlations are suppressed due to the energy scales in the longitudinal and transversal direction. Our implementation has got a linear scaling in the number of grid points in contrast to other methods, using a product grid, with cubic scaling [arXiv:1608.04710].

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