Information propagation through quantum chains with fluctuating disorder

Abstract

We investigate the propagation of information through one-dimensional quantum chains in fluctuating external fields. We find that information propagation is suppressed, but in a quite different way compared to the situation with static disorder. We study two settings: (i) a general model where an unobservable fluctuating field acts as a source of decoherence; (ii) the XX model with both observable and unobservable fluctuating fields. In the first setting we establish a noise threshold below which information can propagate ballistically and above which information is localised. In the second setting we find localisation for all levels of unobservable noise, whilst an observable field can yield diffusive propagation of information.

5 pages, 2 figures

References in corpus (8)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Many body localization in Heisenberg XXZ magnet in a random field
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Lieb-Robinson Bounds and the Exponential Clustering Theorem
• Evenly distributed unitaries: on the structure of unitary designs
• Random Quantum Circuits are Approximate 2-designs
• The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently
• Observations Outside the Light-Cone: Algorithms for Non-Equilibrium and Thermal States

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