Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Many-body Systems: Equilibration, Chaos and Localization II (joint session DY/TT)

DY 31.2: Talk

Wednesday, March 18, 2020, 09:45–10:00, HÜL 186

Entanglement clusters in many-body localized systems — •Kevin Hemery, Adam Smith, and Frank Pollmann — Department of Physics, T42, Technische Universität München, James-Franck-Strasse 1, D-85748 Garching, Germany

A complete understanding of the many body localized (MBL)-ergodic transition is still missing. We investigate this phenomenon by analysing the entanglement structure of the eigenstates of the Heisenberg chain in presence of a disordered field. Our method is based on a combination of the two-site mutual information and a graph theory clustering algorithm.

First we test our approach by recovering the scaling behaviour of the number of entangled clusters across the phase transition, which has previously been extracted using the full density matrix. On the MBL side, we access large systems by using the so-called "DMRG-X" algorithm, a variational matrix-product-states based method. We compare our results to predictions drawn from renormalisation group based theories of the thermalisation avalanche.