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 language | English |
|---|---|
| Journal | Annals of Physics |
| Volume | 374 |
| Pages (from-to) | 84-137 |
| ISSN | 0003-4916 |
| DOIs | |
| Publication status | Published - 1 Nov 2016 |
| Externally published | Yes |
Keywords
- Tensor network states
- Projected Entangled Pair States
- Lattice gauge theories