Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Poster - Quanten Systems

DY 26.8: Poster

Dienstag, 8. März 2016, 18:15–21:00, Poster C

Semiclassical Theory for Interacting Many-Body Scattering of Bosons Through Mesoscopic Chaotic Cavities — •Josef Michl, Fabian Stöger, Juan-Diego Urbina, and Klaus Richter — Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany

We report our progress in constructing a theory for mesoscopic scattering of identical particles through open chaotic cavities suitable for studying the interplay between three physical effects: universality of single-particle transport, many-body correlations due to quantum indistinguishability, and the presence of interparticle interactions.

Already at the level of non-interacting particles, indistinguishability alone produces non-trivial combinations of single-particle scattering matrices in the transport of many particles through mesoscopic chaotic cavities, which result in a mesoscopic version of the Hong-Ou-Mandel effect known from quantum optics[1]. Going beyond non-interacting systems, the study of interaction effects requires a proper choice of the underlying single-particle basis for the Fock space. We show, that in the basis of chaotic single-particle scattering states, the many-body Hamiltonian takes a universal form, which is ready to be used within a non-perturbative semiclassical approach based on solutions of mean-field equations, similar to that for Bose-Hubbard systems[2]. We present analytical and numerical results at the level of the diagonal approximation and discuss how to go beyond.

[1] Hong, C. K., Ou, Z. Y., Mandel, L., PRL 18, 2044 (1987)

[2] Engl, T. et al., PRL 112, 140403 (2014)