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Q: Fachverband Quantenoptik und Photonik

Q 22: Quantum Gases: Bosons II

Q 22.4: Vortrag

Dienstag, 1. März 2016, 15:15–15:30, e001

Short time propagation in interacting bosonic systems — •Benjamin Geiger, Quirin Hummel, Juan-Diego Urbina, and Klaus Richter — Institut für Theoretische Physik Universität Regensburg, 93040 Regensburg, Germany

In order to investigate general properties of interacting bosonic gases we present a formalism to calculate thermodynamic properties as well as the smoothed density of states by means of short-time propagation and compare our analytical predictions against quantum integrable models that allow for an exact analysis by means of Bethe ansatz techniques. As an essential input of our approach, we were able to construct the many-body propagator for a one-dimensional free bosonic gas with delta interactions of variable strength. Using this propagator we can give short-time approximations for the Lieb-Liniger model and non-integrable systems including external harmonic potentials. Furthermore we can think of using the spatial information and the time dependence of the propagator to calculate e.g. two-point correlations or to investigate quantum quenches.