Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study

Erez Zohar*, Thorsten B. Wahl, Michele Burrello, J. Ignacio Cirac

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

Over the last years, Projected Entangled Pair States have demonstrated great power for the study of many body systems, as they naturally describe ground states of gapped many body Hamiltonians, and suggest a constructive way to encode and classify their symmetries. The PEPS study is not only limited to global symmetries, but has also been extended and applied for local symmetries, allowing to use them for the description of states in lattice gauge theories. In this paper we discuss PEPS with a local, SU(2) gauge symmetry, and demonstrate the use of PEPS features and techniques for the study of a simple family of many body states with a non-Abelian gauge symmetry. We present, in particular, the construction of fermionic PEPS able to describe both two-color fermionic matter and the degrees of freedom of an SU(2) gauge field with a suitable truncation.

Original languageAmerican English
Pages (from-to)84-137
Number of pages54
JournalAnnals of Physics
Volume374
DOIs
StatePublished - 1 Nov 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

Keywords

  • Lattice gauge theories
  • Projected Entangled Pair States
  • Tensor network states

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