Spreading of correlations and Loschmidt echo after quantum quenches of a Bose gas in the Aubry-Andr\'e potential

TL;DR

This paper investigates how correlations and the Loschmidt echo evolve after quantum quenches in an interacting 1D Bose gas with an Aubry-André potential, using a time-dependent Bogoliubov approach and linked cluster expansion.

Contribution

It introduces a combined method using time-dependent Bogoliubov and linked cluster expansion to analyze post-quench dynamics in an interacting Bose gas with an aperiodic potential.

Findings

Correlation spreading behavior characterized after quenches.

Loschmidt echo decay patterns derived.

Impact of the aperiodic potential on dynamics analyzed.

Abstract

We study the spreading of density-density correlations and the Loschmidt echo, after different sudden quenches in an interacting one dimensional Bose gas on a lattice, also in the presence of a superimposed aperiodic potential. We use a time dependent Bogoliubov approach to calculate the evolution of the correlation functions and employ the linked cluster expansion to derive the Loschmidt echo.