Abstract
Investigating the scrambling of quantum information (also known as quantum chaos) in many-body quantum systems provides valuable insights into the postquench evolution of a system. While various methods are available to understand the chaotic dynamics of these quantum systems, scrambling of mutual information following a quench has recently also emerged as a diagnostic of chaotic dynamics. In this work, we consider a chain of spin-1/2 particles of a finite length 𝐿 evolving with the mixed-field Ising Hamiltonian and impose open boundary conditions. We simulate the time evolution of entanglement entropy and mutual information following a quench from the Néel state in this system using tensor networks and find that the entanglement entropy for nonintegrable systems saturates to a constant value at late times, while it continues to oscillate for integrable systems. We also find that mutual information peaks as a function of distance between intervals decay faster for nonintegrable systems compared to integrable systems, in agreement with the results in literature for XXZ chains. We compare the oscillations in entanglement entropy evolution obtained from simulations in the integrable case with analytic results from the quasiparticle picture and find agreement.
| Original language | English |
|---|---|
| Article number | 014439 |
| Number of pages | 13 |
| Journal | Physical Review B |
| Volume | 111 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 27 Jan 2025 |
Bibliographical note
Funding Information:This work began as part of the bachelor project of Emil Tore M\u00E6rsk Pedersen at Vrije Universiteit Brussel (VUB). Part of the results in this paper were obtained during his bachelor project and were presented in his (unpublished) bachelor project report in 2020. We thank Ben Craps and Charles Rabideau for discussions during the course of the bachelor project. We also thank Diptiman Sen, Nisheeta Desai, and Tanay Nag for helpful comments and questions. Research of S.K. during postdoctoral tenure at VUB was supported by FWO-Vlaanderen Project No. G006918N and by Vrije Universiteit Brussel through the Strategic Research Program High-Energy Physics. Currently, S.K.'s research is supported by Department of Science and Technology's INSPIRE Grant No. DST/INSPIRE/04/2020/001063. E.T.M.P.'s research is currently supported by Novo Nordisk Foundation (Grant No. NNF20OC0059939 \u2018Quantum for Life') and European Research Council (Grant Agreement No. 81876).
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