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DY: Fachverband Dynamik und Statistische Physik

DY 23: Quantum Chaos

DY 23.13: Talk

Wednesday, April 2, 2014, 18:15–18:30, ZEU 146

Semiclassical theory of bosonic many-body scattering: a non-perturbative Green’s function approach — •Josef Michl, Thomas Engl, Markus Biberger, Juan-Diego Urbina, and Klaus Richter — Institut für Theoretische Physik, Universität Regensburg, Germany

Semiclassical techniques have so far been applied mainly to single-particle systems. For these systems they provide a powerful toolbox to study interference effects and allow for analytical calculations even in the presence of classical chaos.
Previously, we have succeeded in constructing a semiclassical approximation of the propagator in bosonic Fock state representation which is based on real actions and hence shows interference in Fock space explicitly[1]. This opens the possibility to define semiclassical many-body Green’s functions, the natural objects required to study stationary many-body scattering. The main advantage of such an approach is that it provides a non-perturbative method to address directly the full many-body Green’s function, contrary to standard methods based on Dyson expansions. However, this program requires a proper theory of many-body scattering, beyond the usual picture based on single-particle observables like the current. We present an overview of the conceptual and technical basis of many-body stationary scattering, and show how the many-body semiclassical Green’s function can be used in this context.
[1] Thomas Engl et al., arXiv:1306.3169.