Propagation of two-particle correlations across the chaotic phase for interacting bosons

TL;DR

This paper investigates how two-particle correlations propagate in one-dimensional interacting bosons, revealing that many-body chaos leads to an effective diffusive behavior and providing a new way to characterize quantum chaos experimentally.

Contribution

It demonstrates that many-body chaos induces diffusion in correlation dynamics and offers an experimentally accessible method to identify quantum chaos in non-integrable systems.

Findings

Chaos induces a diffusion regime in correlation propagation.

Correlation transport distance characterizes many-body quantum chaos.

Results align with spectral chaos indicators.

Abstract

We analyze the propagation of experimentally relevant two-particle correlations for one-dimensional interacting bosons, and give evidence that many-body chaos induces the emergence of an effective diffusive regime for the fully coherent correlation dynamics, characterized by an interaction dependent diffusion coefficient, which we estimate. This result supports very recent experimental observations, and paves the way towards an efficient description of the dynamical behaviour of non-integrable complex many-body systems. Furthermore, we show that the dynamical features within experimentally accessible time scales of a conveniently defined two-particle correlation transport distance provide a direct and unambiguous characterization of many-body quantum chaos in perfect agreement with its spectral identification.