Time evolution of projected entangled pair states in the single-layer picture

Autor(en)

Iztok Pizorn, Ling Wang, Frank Verstraete

Abstrakt

We propose an efficient algorithm for simulating quantum many-body systems in two spatial dimensions using projected entangled pair states. This is done by approximating the environment, arising in the context of updating tensors in the process of time evolution, using a single-layered tensor network structure. This significantly reduces the computational costs and allows simulations in a larger submanifold of the Hilbert space as bounded by the bond dimension of the tensor network. We present numerical evidence for stability of the method on an antiferromagnetic isotropic Heisenberg model where good agreement is found with the available accurate results.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Journal

Physical Review A

Band

83

Anzahl der Seiten

6

ISSN

1050-2947

DOI

https://doi.org/10.1103/PhysRevA.83.052321

Publikationsdatum

2011

Peer-reviewed

Ja

ÖFOS 2012

103026 Quantenoptik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/7b481d6f-31de-47c4-81b6-ff68b67eefa5