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

Author(s): I. Pižorn, L. Wang, F. Verstraete

Journal: Phys. Rev. A

Volume: 83

Page(s): 6

Year: 2011

DOI Number: 10.1103/PhysRevA.83.052321

Link: Link to publication

Abstract:

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.

Note: http://arxiv.org/abs/1103.2343

File: Link to PDF

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