Heidelberg 2015 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 62: Poster: Quantum Optics and Photonics III
Q 62.38: Poster
Thursday, March 26, 2015, 17:00–19:00, C/Foyer
Many-body scattering of atoms through mesoscopic cavities: Universal effects of indistinguishability and interactions — •Josef Michl1, Markus Biberger1, Jack Kuipers2, Juan Diego Urbina1, and Klaus Richter1 — 1Institut für Theoretische Physik, Universität Regensburg, 93053 Regensburg, Germany — 2Computational Biology Group, ETH Zürich, 8092 Zürich, Switzerland
We report progress in constructing a theory for scattering of identical particles through open mesoscopic cavities suitable for studying the interplay between three physical effects: universality of single-particle transport in the presence of chaos, many-body correlations due to quantum indistinguishability similar to the Hong-Ou-Mandel effect in quantum optics, and the presence of interparticle interactions.
Already in the case of non-interacting bosons being transmitted through a chaotic cavity, a mesoscopic version of the Hong-Ou-Mandel profile was obtained because of
non-trivial combinations of single-particle scattering matrices due to the symmetrization principle [1].
Going beyond non-interacting systems, we construct a universal Hamiltonian for open chaotic cavities representing interactions in the basis of single-particle scattering states. For bosonic systems, this Hamiltonian is ready to be used in the non-perturbative framework of a functional truncated Wigner approximation [2]. We apply this idea to investigate how the interplay between interaction effects and correlations due to indistinguishability affects observables like the current.
[1] J. D. Urbina, J. Kuipers, Q. Hummel, K. Richter, arXiv:1409.1558
[2] e.g. B. Opanchuk, P. D. Drummond, J.Math.Phys. 54, 042107(2013)