We study the time evolution of bi- and tripartite operator mutual information of the time-evolution operator and Pauli's spin operators in the one-dimensional Ising model with magnetic field and the disordered Heisenberg model. 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 many-body localization prevents the information from propagating and being delocalized. We also find an effective Ising Hamiltonian describes the time evolution of bi- and tripartite operator mutual information for the Heisenberg model in the large disorder regime.
- Pub Date:
- December 2020
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Strongly Correlated Electrons;
- High Energy Physics - Theory;
- Quantum Physics
- 31 pages, 13 figures. Submission to SciPost