Hannover 2013 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 45: Quantum gases: Bosons II
Q 45.3: Vortrag
Donnerstag, 21. März 2013, 11:30–11:45, F 342
Particles, holes and solitons: a matrix product state approach — •Tobias Osborne1, Damian Draxler2, Jutho Haegeman3, Vid Stojevic2, Laurens Vanderstraeten3, and Frank Verstraete2 — 1Leibniz Universität Hannover, Institute of Theoretical Physics and Riemann center for geometry and physics, Appelstrasse 2, D-30167 Hannover, Germany — 2Vienna Center for Quantum Science, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria — 3Ghent University, Department of Physics and Astronomy, Krijgslaan 281- S9, B-9000 Ghent, Belgium
We introduce a variational method for calculating dispersion relations of translation invariant (1+1)-dimensional quantum field theories. The method is based on continuous matrix product states and can be implemented efficiently. We study the Lieb-Liniger model as a benchmark where, despite criticality, excellent agreement with the exact solution is found, including, clear solitonic effects in Lieb's Type II excitation. In addition, a non-integrable model is studied where a U(1)-symmetry breaking term is added to the Lieb-Liniger Hamiltonian. For this model we find evidence of a non-trivial bound-state excitation in the dispersion relation.