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Gradient methods for variational optimization of projected entangled-pair states

Autor(en)
Laurens Vanderstraeten, Jutho Haegeman, Philippe Corboz, Frank Verstraete
Abstrakt

We present a conjugate-gradient method for the ground-state optimization of projected entangled-pair states (PEPS) in the thermodynamic limit, as a direct implementation of the variational principle within the PEPS manifold. Our optimization is based on an efficient and accurate evaluation of the gradient of the global energy functional by using effective corner environments, and is robust with respect to the initial starting points. It has the additional advantage that physical and virtual symmetries can be straightforwardly implemented. We provide the tools to compute static structure factors directly in momentum space, as well as the variance of the Hamiltonian. We benchmark our method on Ising and Heisenberg models, and show a significant improvement on the energies and order parameters as compared to algorithms based on imaginary-time evolution.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Ghent University , University of Amsterdam (UvA)
Journal
Physical Review B
Band
94
Anzahl der Seiten
14
ISSN
1098-0121
DOI
https://doi.org/10.1103/PhysRevB.94.155123
Publikationsdatum
10-2016
Peer-reviewed
Ja
ÖFOS 2012
103025 Quantenmechanik, 103015 Kondensierte Materie
Schlagwörter
ASJC Scopus Sachgebiete
Electronic, Optical and Magnetic Materials, Condensed Matter Physics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/5381d3ab-25eb-418f-b9fe-b0c7d3713564