Regensburg 2016 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 41: Quantum Chaos
DY 41.2: Vortrag
Mittwoch, 9. März 2016, 15:30–15:45, H48
Interplay between chaos and indistinguishability in multiparticle scattering — Juan-Diego Urbina1, Jack Kuipers1, •Klaus Richter1, Quirin Hummel1, and Sho Matsumoto2 — 1Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany — 2Graduate School of Science and Engineering, Kagoshima University, 1-21-35, Korimoto, Kagoshima, Japan
In this presentation we generalize the Hong-Ou-Mandel effect to the mesoscopic regime of complex scattering and to macroscopically occupied incoming wavepackets. This is achieved by a complete enumeration of all processes in terms of interfering many-body paths that allow us to study universal effects due to the interplay between instability of the single-particle classical motion and quantum indistinguishability.
We show how, in the limit of large particle number, one finds a mesoscopic version of the bosonic birthday paradox responsible for a sharp quantum-classical transition. Furthermore, under a scaling that defines the classical-quantum boundary we predict a macroscopic, experimentally accessible Hong-Ou-Mandel profile.
Our results are obtained by a combination of Random Matrix Theory and semiclassical methods, and can be extended to the quantum optics domain, and point towards a mesoscopic implementation of the boson sampling problem of current interest as a possible first realization of a quantum simulator for a certified hard problem.