Hannover 2016 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 27: Poster: Quantum Optics and Photonics II

Q 27.36: Poster

Dienstag, 1. März 2016, 16:30–19:00, Empore Lichthof

Functional Truncated Wigner Method and Beyond: Theory for Many-Body Scattering of Interacting Bosons Through Mesoscopic 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[1], which result in a mesoscopic version of the Hong-Ou-Mandel effect known from quantum optics[2]. 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 single-particle scattering states, the many-body Hamiltonian takes a universal form for open chaotic cavities, which is ready to be used in the non-perturbative framework of a functional truncated Wigner approximation. We present analytical and numerical results for this method, as well as how to go beyond the truncated Wigner approximation.

[1] J. D. Urbina et al., arXiv:1409.1558v1

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