TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.4.070
TI  - Local operator entanglement in spin chains
PY  - 2023/10/20
UR  - https://www.scipost.org/SciPostPhysCore.6.4.070
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 4
SP  - 070
A1  - Mascot, Eric
AU  - Nozaki, Masahiro
AU  - Tezuka, Masaki
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.6.4.070,
	title={{Local operator entanglement in spin chains}},
	author={Eric Mascot and Masahiro Nozaki and Masaki Tezuka},
	journal={SciPost Phys. Core},
	volume={6},
	pages={070},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.4.070},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.4.070},
}