Gemeinsames TKM-TFP Seminar

  • Datum:

    Montag, 14.00-15.30 Uhr

  • Referent:

    Garst, Mirlin, Rockstuhl, Schmalian, Shnirman

  • Ort:

    10-01

Probing many-body localization with neural networks

Seminar über Theoretische Festkörperphysik

Vortragender:

Frank Schindler

Datum:

16.04.2018 14:00

Ort:

Room 10.01, 10th Floor, Bldg. 30.23, KIT Campus South

Zugehörigkeit:

University of Zurich, Switzerland

Gastgeber:

Dr. Igor Gornyi

Abstract

We show that a simple artificial neural network trained on entanglement spectra of individual states of a many-body quantum system can be used to determine the transition between a many-body localized and a thermalizing regime. Specifically, we study the Heisenberg spin-1/2 chain in a random external field. We employ a multilayer perceptron which is trained on labeled entanglement spectra pertaining to the fully localized and fully thermal regimes. We then apply this network to classify spectra belonging to states in the transition region. For training, we use a cost function that contains, in addition to the usual error and regularization parts, a term that favors a confident classification of the transition region states. The resulting phase diagram is in good agreement with the one obtained by more conventional methods. Furthermore, we analyze the network operation using the dreaming technique.