Related papers: Haar averaged moments of correlation functions and OTOCs in Floquet systems

Haar averaged moments of correlation functions and OTOCs in Floquet systems

URL: http://arxiv.org/abs/2110.15151v1
Date: Thu, 28 Oct 2021 14:22:43 GMT
Title: Haar averaged moments of correlation functions and OTOCs in Floquet systems
Authors: Ewan McCulloch
Abstract summary: We derive exact expressions for the large $q$ limiting behaviour of a selection of $n$-point correlation functions. We find a general principle that breaks OTOCs into small and easy to calculate pieces, and which can likely be deployed in a more general context.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Scrambling and thermalisation are topics of intense study in both condensed matter and high energy physics. Random unitary dynamics form a simple testing-ground for our theoretical understanding of these processes. In this work, we derive exact expressions for the large $q$ limiting behaviour of a selection of $n$-point correlation functions, out-of-time-ordered correlators (OTOCs), and their moments. In the process we find a general principle that breaks OTOCs into small and easy to calculate pieces, and which can likely be deployed in a more general context.

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