/papers-code-QuenchStructureFactorEntanglement

Code, scripts and data for a publication extracting entanglement from density correlations following a quantum quench.

Primary LanguageJupyter NotebookMIT LicenseMIT

Paper DOI

Measuring post-quench entanglement entropy through density correlations

Adrian Del Maestro, Hatem Barghathi, and Bernd Rosenow

arXiv:2111.06755

Abstract

Following a sudden change of interactions in an integrable system of one-dimensional fermions, we analyze the dependence of the static structure factor on the observation time after the quantum quench. At small waiting times after the quench, we map the system to non-interacting bosons such that we are able to extract their occupation numbers from the Fourier transform of the density-density correlation function, and use these to compute a bosonic entropy from a diagonal ensemble. By comparing this bosonic entropy with the asymptotic steady state entanglement entropy per fermion computed with exact diagonalization we find excellent agreement.

Description

This repository includes links, code, scripts, and data to perform the analysis and generate the figures described in the above paper.

Requirements

The primary data set analyzed in this paper was generated via exact diagonalization. There is a companion paper and repository which provides complimentary detail of the ED and finite size scaling procedure employed here. The analysis of the observation time dependence of the static structure factor is based the results in the data directory.

Support

The creation of these materials was supported in part by the National Science Foundation under Award No. DMR-2041995

Figures

Figure 01: Momentum Dependence of the Post-Quench Static Structure Factor

Figure 02: Waiting Time Dependence of the Post-Quench Static Structure Factor

Figure 03: Boson Occupation Numbers in the Small-Momentum Limit

Figure 04: Comparing the Fermionic and Bosonic Entropy Density