Quantum information spreading in random spin chains

Abstract

We study the spreading of quantum correlations and information in a one-dimensional quantum spin chain with critical disorder as encoded in an infinite randomness fixed point. Specifically, we focus on the dynamics after a quantum quench of the Rényi entropies, of the mutual information and of the entanglement negativity in the prototypical XXZ spin chain with random bonds and anisotropy parameters. We provide analytic predictions in the scaling regime based on real-space renormalization group methods. We support these findings through numerical simulations in the non-interacting limit, where we can access the scaling regime.

15 pages, 7 figures

References in corpus (20)

• Many body localization and thermalization in quantum statistical mechanics
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• Integrals of motion in the Many-Body localized phase
• General entanglement scaling laws from time evolution
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Entanglement negativity after a global quantum quench
• Quantum criticality of hot random spin chains
• Bridging entanglement dynamics and chaos in semiclassical systems
• Entanglement equipartition in critical random spin chains
• Is there slow particle transport in the MBL phase?
• Entanglement spectrum of random-singlet quantum critical points
• Negativity spectrum of one-dimensional conformal field theories
• Signatures of many-body localisation in the dynamics of two-sites entanglement
• Enhanced entanglement negativity in boundary driven monitored fermionic chains
• Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
• Negativity Spectrum in the Random Singlet Phase
• Rényi generalizations of quantum information measures
• Entanglement entropy of the long-range Dyson hierarchical model
• Logarithmic entanglement growth in two-dimensional disordered fermionic systems

Cited by in corpus (4)

• Entanglement negativity in a fermionic chain with dissipative defects: Exact results
• Entanglement negativity in a nonequilibrium steady state
• Measuring out quasi-local integrals of motion from entanglement
• Tracking locality in time evolution of disordered systems