Fermionic multiscale entanglement renormalization ansatz

Corboz, Philippe and Vidal, Guifre (2009) Fermionic multiscale entanglement renormalization ansatz. Physical Review B, 80 16: 165129-1-165129-12. doi:10.1103/PhysRevB.80.165129

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Author Corboz, Philippe
Vidal, Guifre
Title Fermionic multiscale entanglement renormalization ansatz
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
1550-235X
Publication date 2009-10-29
Year available 2009
Sub-type Article (original research)
DOI 10.1103/PhysRevB.80.165129
Open Access Status File (Publisher version)
Volume 80
Issue 16
Start page 165129-1
End page 165129-12
Total pages 12
Editor P. D. Adams
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Subject 970102 Expanding Knowledge in the Physical Sciences
020603 Quantum Information, Computation and Communication
Abstract In a recent contribution [P. Corboz, G. Evenbly, F. Verstraete, and G. Vidal, arXiv:0904.4151 (unpublished)] entanglement renormalization was generalized to fermionic lattice systems in two spatial dimensions. Entanglement renormalization is a real-space coarse-graining transformation for lattice systems that produces a variational ansatz, the multiscale entanglement renormalization ansatz (MERA), for the ground states of local Hamiltonians. In this paper we describe in detail the fermionic version of the MERA formalism and algorithm. Starting from the bosonic MERA, which can be regarded both as a quantum circuit or in relation to a coarse-graining transformation, we indicate how the scheme needs to be modified to simulate fermions. To confirm the validity of the approach, we present benchmark results for free and interacting fermions on a square lattice with sizes between 6×6 and 162×162 and with periodic boundary conditions. The present formulation of the approach applies to generic tensor network algorithms.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2010 Higher Education Research Data Collection
 
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Created: Sun, 15 Nov 2009, 10:01:05 EST