Dresden 2011 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 57: Poster 3: Quantengase, Ultrakalte Atome, Ultrakalte Moleküle, Materiewellen Optik, Präzisionsmessungen, Metrologie
Q 57.4: Poster
Donnerstag, 17. März 2011, 16:30–19:30, P1
Exact Lieb-Liniger Dynamics — •Jan Zill1, 2, Matthias Kronenwett1, 2, and Thomas Gasenzer1, 2 — 1Institut für Theoretische Physik, Ruprecht-Karls-Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg — 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstr. 1, 64291 Darmstadt
A one-dimensional gas of Bosons with repulsive delta-function interactions is studied. The ground state and the (low lying) excitation spectrum for fixed particle numbers and different interaction strengths are computed numerically via the Bethe-Ansatz and an extended Fermi-Bose mapping. We aim to compute the time evolution of the momentum distribution for weak and strong interaction strength, as well as of other correlation functions. Since the Schrödinger equation is solved exactly, the results can be used as a benchmark for approximative analytical and numerical methods in quantum field theory.