GQFI-UGent-WST Seminar: Brian Swingle "Effective Field Theory of Chaotic Spectral Correlations"
Ensembles of quantum chaotic systems are expected to exhibit random matrix universality in their energy spectrum. The presence of this universality can be diagnosed by looking for a linear in time 'ramp' in the spectral form factor, but for realistic systems this feature is typically only visible after a sufficiently long time. Given the wide prevalence of this random matrix behavior, it is natural to ask for an effective field theory which predicts the ramp and computes corrections to it arising from physical constraints. In this talk, Brian Swingle (Brandeis) presents such an effective theory based on fluctuating hydrodynamics. The theory can also be adapted to describe the effects of spontaneous symmetry breaking on spectral correlations.
The Virtual Seminar Series “GQFI-Ghent University-Warsaw String Theory” (GQFI-UGent-WST) is a joint initiative between the strings/holography groups at the Albert Einstein Institute (AEI) in Potsdam, Ghent University and the University Warsaw. The calendar for upcoming GQFI-UGent-WST seminars can be found here: https://gqfi.aei.mpg.de/node/3.
This talk is primarily based on arXiv:2106.07674 [cond-mat.stat-mech] (https://arxiv.org/abs/2106.07674).
This talk was recorded on November 30th, 2021 at the Albert Einstein Institute in Potsdam-Golm.