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TT: Fachverband Tiefe Temperaturen
TT 40: Dual-Method Approaches to Quantum Many-Body Systems II
TT 40.6: Talk
Tuesday, March 13, 2018, 11:15–11:30, H 3010
Quantum dynamics from classical networks — •Markus Schmitt1,2 and Markus Heyl1 — 1Max-Planck-Institute for the Physics of Complex Systems, Dresden, Germany — 2Institute for Theoretical Physics, Georg-August-Universität Göttingen, Germany
The efficient representation of quantum many-body states with classical resources is a key challenge in quantum many-body theory. In our work [1] we analytically construct classical networks for the description of the quantum dynamics in transverse-field Ising models that can be solved efficiently using Monte Carlo techniques. With this construction we compute transient dynamics of transverse-field Ising models in one, two, and three dimensions. We include a mapping to equivalent artificial neural networks and explore the utility of the obtained network structures for numerical time-evolution using a time-dependent variational principle.
M. Schmitt and M. Heyl, arXiv:1707.06656