Regensburg 2016 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 74: Focus Session: Many-Body Interference and Quantum Statistical Physics
(Joint session of DY and TT organized by DY)
TT 74.4: Hauptvortrag
Donnerstag, 10. März 2016, 16:45–17:15, H20
Statistical Signatures of Many-Particle Interference — •Mattia Walschaers — Physikalisches Institut, Albert-Ludwigs-Universitat Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany — Instituut voor Theoretische Fysica, University of Leuven, Celestijnenlaan 200D, B-3001 Heverlee, Belgium
The complexity of a quantum system drastically increases with the number of its constituents, which gives rise to several difficulties, often associated with the interactions between particles. Nevertheless, already the indistinguishability of particles alone can lead to dynamical interference effects which go well beyond mere quantum statistics, even in the absence of interactions. Recently, these many-particle interferences became the centrepiece of the debate on boson sampling, connecting them to quantum simulation. As a core message, it was explicitly stressed that such interference patterns are computationally intractable. As a consequence, we are confronted with apparent difficulties for the certification of many-particle interferometers. However, from a complex systems perspective, the intractability of the deterministic behaviour of a physical system is common place, and motivates a statistical treatment. In this contribution, we present statistical signatures of different types of many-particle interference by studying correlation functions combined with techniques from random matrix theory [1]. We also show how these signatures are altered by varying the degree of indistinguishability of the particles.
[1] M. Walschaers, J. Kuipers, J.-D. Urbina, K. Mayer, M. C. Tichy, K. Richter, and A. Buchleitner, arXiv:1410.8547 (2014).