Scrambling and many-body localization in the XXZ chain
Niklas Bölter, Stefan Kehrein
Abstract
The tripartite information is an observable-independent measure for scrambling and delocalization of information. Therefore, one can expect that the tripartite information is a good observable-independent indicator for distinguishing between many-body localized and delocalized regimes, which we confirm for the XXZ chain in a random field. Specifically, we find that the tripartite information signal spreads inside a light cone that grows only logarithmically in time in the many-body localized regime, similar to entanglement entropy. We also find that the tripartite information eventually reaches a plateau with an asymptotic value that is suppressed by strong disorder.
Topics & Concepts
ScramblingDelocalized electronObservableQuantum entanglementPhysicsEntropy (arrow of time)Statistical physicsMutual informationQuantum mechanicsPlateau (mathematics)MathematicsStatisticsQuantumMathematical analysisAlgorithmQuantum many-body systemsNeural Networks and Reservoir ComputingQuantum Information and Cryptography