Regensburg 2022 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 39: Pattern Formation and Reaction-Diffusion Systems
DY 39.3: Vortrag
Donnerstag, 8. September 2022, 10:30–10:45, H19
Exploring Bifurcations in Bose-Einstein Condensates via Phase Field Crystal Models — •Alina B. Steinberg1, Fabian Maucher2, Svetlana V. Gurevich1,3, and Uwe Thiele1,3 — 1Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Strasse 9, 48149 Münster, Germany — 2Departament de Física, Universitat de les Illes Balears \& IAC-3, Campus UIB, E-07122 Palma de Mallorca, Spain — 3Center of Nonlinear Science (CeNoS), Westfälische Wilhelms-Universität Münster, Corrensstrasse 2, 48149 Münster, Germany
To facilitate the analysis of pattern formation and phase transitions in Bose-Einstein condensates as well as to unravel analogies we present an explicit approximate mapping from the nonlocal Gross-Pitaevskii equation with cubic nonlinearity to a model of phase field crystal type. This approximation is valid close to the superfluid-supersolid phase transition and permits us to explore the phase transition through the corresponding bifurcation diagrams obtained via numerical path continuation. Additionally the effects of phenomenological higher order nonlinearities are considered. In passing we discuss the importance of localized states as an indicator of a first order character of the phase transition. A. B. Steinberg, F. Maucher, S. V. Gurevich and U. Thiele, Exploring Bifurcations in Bose-Einstein Condensates via Phase Field Crystal Models, http://arxiv.org/abs/2205.15194 (2022)