Current browse context:
cond-mat.dis-nn
Change to browse by:
References & Citations
Condensed Matter > Disordered Systems and Neural Networks
Title: Local Operator Entanglement in Spin Chains
(Submitted on 29 Dec 2020 (v1), last revised 25 Aug 2023 (this version, v5))
Abstract: Understanding how and whether local perturbations can affect the entire quantum system is a fundamental step in understanding non-equilibrium phenomena such as thermalization. This knowledge of non-equilibrium phenomena is applicable for quantum computation, as many quantum computers employ non-equilibrium processes for computations. In this paper, we investigate the evolution of bi- and tripartite operator mutual information of the time-evolution operator and the Pauli spin operators in the one-dimensional Ising model with magnetic field and the disordered Heisenberg model to study the properties of quantum circuits. In the Ising model, the early-time evolution qualitatively follows an effective light cone picture, and the late-time value is well described by Page's value for a random pure state. In the Heisenberg model with strong disorder, we find that many-body localization prevents the information from propagating and being delocalized. We also find an effective Ising Hamiltonian that describes the time evolution of bi- and tripartite operator mutual information for the Heisenberg model in the large disorder regime.
Submission history
From: Eric Mascot [view email][v1] Tue, 29 Dec 2020 05:11:28 GMT (7924kb,D)
[v2] Fri, 15 Jan 2021 01:39:18 GMT (7926kb,D)
[v3] Tue, 19 Jan 2021 02:18:13 GMT (7956kb,D)
[v4] Thu, 24 Aug 2023 04:02:41 GMT (7475kb,D)
[v5] Fri, 25 Aug 2023 01:41:55 GMT (7475kb,D)
Link back to: arXiv, form interface, contact.