Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 4: Dynamics in many-body systems: Equilibriation and localization
(Joint session of DY and TT organized by DY)

TT 4.3: Vortrag

Montag, 7. März 2016, 10:00–10:15, H47

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

We present a formalism to calculate thermodynamic properties of interacting bosonic gases as well as the smooth (Weyl) contribution to density of states by means of short-time propagation, and compare its analytical predictions against quantum integrable models. As an essential input of our approach, we were able to construct the many-body propagator for a one-dimensional unconfined 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.