Many-Body Localization Under the Microscope - Julian Leonard

Explore many-body localization through a conference talk delivered at the 2021 Non-Equilibrium Universality in Many-Body Physics KITP Conference. Delve into the experimental challenges, single-atom control, and the interacting Aubry-André model. Examine quantum thermalization, its breakdown, and the absence of transport in many-body localized systems. Investigate the logarithmic growth of entanglement, two-point density correlations, and multi-point quantum correlations. Analyze the stability of MBL, the clean-disorder interface, and avalanche dynamics. Gain insights into thermalization site by site and consider future perspectives in this cutting-edge field of non-equilibrium many-body physics.

Intro
MANY-BODY LOCALIZATION
EXPERIMENTAL CHALLENGES
SINGLE-ATOM CONTROL
PROTOCOL
INTERACTING AUBRY-ANDRÉ MODEL
OUTLINE
QUANTUM THERMALIZATION
BREAKDOWN OF THERMALIZATION
ABSENCE OF TRANSPORT
LOGARITHMIC GROWTH OF ENTANGLEMENT
TWO-POINT DENSITY CORRELATIONS
THERMAL REGIME
QUANTUM CRITICAL REGIME
MULTI-POINT QUANTUM CORRELATIONS
STABILITY OF MBL
A CLEAN-DISORDER INTERFACE
AVALANCHE DYNAMICS
THERMALIZATION SITE BY SITE
OUTLOOK