Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 23: Quantum Chaos

DY 23.1: Talk

Tuesday, March 13, 2018, 10:00–10:15, EB 107

Universal two-point correlations in many-body systems: the Random Wave Model in Fock space — •Juan-Diego Urbina and Klaus Richter — Institute for Theoretical Physics, University of Regensburg, Germany

Forty years after its discovery, Berry’s Random Wave Model with its several modifications and variants is still the most powerful tool to understand the morphology of eigenfunctions in first-quantized chaotic (non-disordered) systems[1]. Surprisingly, the obvious question about how to construct a similarly powerful approach in the realm of interacting many-body quantum systems, with their natural description is Fock space, recieved little attention. Recently, however, this situation has dramatically changed due to the intimate connection between Berry’s ansatz and the so-called eigenstate thermalization hypothesis.

While the first steps into the systematic study of the statistical distribution of Fock-space amplitudes in many-body eigenfunctions have been taken for the unexplored case of clean systems[3], a key element of a possible Random Wave Model in fock space is the universality of the two-point correlator. In this talk, we present the semiclassical theory that predicts such universal behavior and discuss its main features.
See J. D. Urbina and K. Richter, Adv. Phys. (62) 363 (2013) for a recent review.
M. Rigol, V. Dunjko, and M. Olshanii, Nature (452) 854 (2008).
W. Beugeling, A. Baecker, R. Moessner, and M. Haque, arXiv:1710.11433 (2017).