Erlangen 2018 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 46: Quantum Information (Concepts and Methods) IV

Q 46.8: Vortrag

Mittwoch, 7. März 2018, 15:45–16:00, K 1.019

Artificial Neural Network Representation of Spin Systems in a Quantum Critical Regime — •Stefanie Czischek, Martin Gärttner, and Thomas Gasenzer — Kirchhoff-Institut für Physik, Im Neuenheimer Feld 227, 69120 Heidelberg, Germany

We use the newly developed artificial-neural-network (ANN) representation of quantum spin-1/2 states based on restricted Boltzmann machines to study the dynamical build-up of correlations after sudden quenches in the transverse-field Ising model. We calculate correlation lengths and study their time evolution after sudden quenches from a large initial transverse field to different distances from the quantum critical point. By comparison with exact numerical solutions we show that in the close vicinity of the quantum critical point, where large correlations and volume-law entanglement are found, large network sizes are necessary to capture the exact dynamics. On the other hand we show a high accuracy of the network representation for quenches further away from the quantum critical point even for small network sizes scaling linearly with the system size. In these regimes the ANN representation shows promising results which suggest that the method may be efficiently used for not exactly solvable systems in one or higher dimensions.