Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study
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Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study. / Zohar, Erez; Wahl, Thorsten B.; Burrello, Michele; Cirac, J. Ignacio.
In: Annals of Physics, Vol. 374, 01.11.2016, p. 84-137.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study
AU - Zohar, Erez
AU - Wahl, Thorsten B.
AU - Burrello, Michele
AU - Cirac, J. Ignacio
PY - 2016/11/1
Y1 - 2016/11/1
N2 - 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.
AB - 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.
KW - Tensor network states
KW - Projected Entangled Pair States
KW - Lattice gauge theories
U2 - 10.1016/j.aop.2016.08.008
DO - 10.1016/j.aop.2016.08.008
M3 - Journal article
VL - 374
SP - 84
EP - 137
JO - Annals of Physics
JF - Annals of Physics
SN - 0003-4916
ER -
ID: 184607094