SKM 2023 – wissenschaftliches Programm
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MA: Fachverband Magnetismus
MA 40: Poster Magnetism II
MA 40.26: Poster
Donnerstag, 30. März 2023, 14:00–16:00, P2/EG
Variational iPEPS — •Erik Weerda1, Jan Naumann2, Matteo Rizzi2, Jens Eisert1, and Philipp Schmoll1 — 1Institute for Theoretical Physics, University of Cologne, D-50937 Köln, Germany — 2Dahlem Center for Complex Quantum Systems and Institute for Theoretical Physics, Freie Universität Berlin, 14195 Berlin, Germany
Tensor networks capture large classes of ground states of phases of quantum matter faithfully and efficiently. Their manipulation and contraction has remained a challenge over the years, however. For most of the history of projected entangled pair states, ground state simulations of two-dimensional quantum lattice systems using (infinite) projected entangled pair states have relied on what is called a time-evolving block decimation. In recent years, multiple proposals for the variational optimization of the quantum state have been put forward, overcoming accuracy and convergence problems of previously known methods. The incorporation of automatic differentiation in tensor networks algorithms has ultimately enabled a new, flexible way for variational simu- lation of ground states and excited states. In this work, we present and explain the functioning of an efficient, comprehensive and general tensor network library for the simulation of infinite two-dimensional systems using iPEPS, with support of different lattice geometries, flexible unit cells, the use of symmetries and GPU calculations.