Erlangen 2018 – scientific programme

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SYAD: Symposium SAMOP Dissertation-Prize 2018

SYAD 1: SAMOP Dissertation-Prize

SYAD 1.4: Invited Talk

Tuesday, March 6, 2018, 12:00–12:30, B Audimax

Statistical signatures of many-particle interference — •Mattia Walschaers — Albert-Ludwigs Universität Freiburg, Freiburg, Germany — KU Leuven, Leuven, Belgium — Laboratoire Kastler Brossel, Sorbonne Université, ENS-PSL, Collège de France, CNRS, Paris, France

The complexity of a quantum system drastically increases with its number of particles, which gives rise to many conceptual, analytical and computational challenges. A well-known source of such hardship is the interaction between particles. Nevertheless, even in absence of such interactions, the particles' indistinguishability as such can already lead to dynamical interference effects which go well beyond mere quantum statistics. Recently, these many-particle interference effects became the centrepiece of the debate on boson sampling, connecting them to a quantum advantage in computation. As a core message, it was explicitly stressed that such interference patterns are computationally intractable. As a consequence, we are confronted with apparent difficulties upon certification of many-particle interferometers. From a complex systems perspective, the lack of deterministic features in a physical system is a common problem which can often be overcome via statistical treatment. In this presentation, we present statistical signatures of different types of many-particle interference by studying correlation functions combined with techniques from random matrix theory. These signatures are an experimentally feasible tool to differentiate between sampling outcomes that result from genuine bosonic interference and alternative distributions.