Quantum information spreading in random spin chains with topological order

TL;DR

This paper investigates quantum information spreading in random spin chains with topological order, revealing how phase transitions affect entanglement dynamics and the limitations of self-duality in information propagation.

Contribution

It introduces analysis of quantum information dynamics in topologically ordered random spin chains, highlighting the role of phase diagrams and stabilizer structures in information spreading.

Findings

TMI reveals nontrivial information spreading behaviors.

Self-duality does not always hold for information dynamics.

Phase diagrams help understand quantum information propagation.

Abstract

Quantum information spreading and scrambling in many-body systems attract interests these days. Tripartite mutual information (TMI) based on operator-based entanglement entropy (EE) is an efficient tool for measuring them. In this paper, we study random spin chains that exhibit phase transitions accompanying nontrivial change in topological properties. In their phase diagrams, there are two types of many-body localized (MBL) states and one thermalized regime intervening these two MBL states. Quench dynamics of the EE and TMI display interesting behaviors providing essential perspective concerning encoding of quantum information. In particular, one of the models is self-dual, but information spreading measured by the TMI does not respect this self-duality. We investigate this phenomenon from the viewpoint of spatial structure of the stabilizers. In general, we find that knowledge of phase diagram corresponding to qubit system is useful for understanding nature of quantum information spreading in that system. Connection between the present work and random circuit of projective measurements and also topological Majorana quantum memory is remarked.