Measurement-Induced Phase Transitions in the Dynamics of Entanglement

Physical Review X American Physical Society (APS) 9:3 (2019) 031009

Authors:

Brian Skinner, Jonathan Ruhman, Adam Nahum

Transport in the sine-Gordon field theory: From generalized hydrodynamics to semiclassics

Physical Review B American Physical Society (APS) 100:3 (2019) 035108

Authors:

Bruno Bertini, Lorenzo Piroli, M谩rton Kormos

Bose-Einstein-like condensation in scalar active matter with diffusivity edge

Physical Review E American Physical Society (APS) 100:1 (2019) 010601

Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder

(2019)

Authors:

Steven H Simon, Bernd Rosenow

Eigenstate correlations, thermalization, and the butterfly effect

Physical Review Letters American Physical Society 122:22 (2019) 220601

Authors:

Amos Chan, Andrea De Luca, John Chalker

Abstract:

We discuss eigenstate correlations for ergodic, spatially extended many-body quantum systems, in terms of the statistical properties of matrix elements of local observables. While the eigenstate thermalization hypothesis (ETH) is known to give an excellent description of these quantities, the phenomenon of scrambling and the butterfly effect imply structure beyond ETH. We determine the universal form of this structure at long distances and small eigenvalue separations for Floquet systems. We use numerical studies of a Floquet quantum circuit to illustrate both the accuracy of ETH and the existence of our predicted additional correlations.