Quantum information spreading in random spin chains with topological order

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.

14 pages, 12 figures, Phys. Rev. B in press

References in corpus (17)

• Many body localization and thermalization in quantum statistical mechanics
• Many body localization in Heisenberg XXZ magnet in a random field
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Many-Body Localization in a Quasiperiodic System
• Critical properties of the measurement-induced transition in random quantum circuits
• Recent progress in many-body localization
• Constructing local integrals of motion in the many-body localized phase
• Slow scrambling in disordered quantum systems
• Entanglement Transition in the Projective Transverse Field Ising Model
• Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
• Many-Body Flatband Localization
• Non-thermalized Dynamics of Flat-Band Many-Body Localization
• Topological order in random interacting Ising-Majorana chains stabilized by many-body localization
• Interplay and competition between disorder and flat band in an interacting Creutz ladder
• Local integrals of motion detection of localization-protected topological order
• Perturbative instability towards delocalization at phase transitions between MBL phases
• Information spreading and scrambling in disorder-free multiple-spin interacting models

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• Scrambling in Ising spin systems with periodic transverse magnetic fields
• Probing the many-body localized spin-glass phase through quench dynamics