Internal structure of gauge-invariant projected entangled pair states

Autor(en)

David Blanik, José Garre-Rubio, András Molnár, Erez Zohar

Abstrakt

Projected entangled pair states (PEPS) are very useful in the description of strongly correlated systems, partly because they allow encoding symmetries, either global or local (gauge), naturally. In recent years, PEPS with local symmetries have increasingly been used in the study of non-perturbative regimes of lattice gauge theories, most prominently as a way to construct variational ansatz states depending only on a small number of parameters and yet capturing the relevant physical properties. For the case of one-dimensional PEPS (matrix product states—MPS) a bidirectional connection was established between the internal structure of the tensor network, i.e. the mathematical properties of the constituent tensors, and the symmetry. In higher dimensions this has only been done for global symmetries, where in the local (gauge) case it is known only how to construct gauge-invariant states, but not what the symmetry implies on the internal structure of the PEPS. In the present work we complete this missing piece and study the internal structure of PEPS with a gauge symmetry. The PEPS we consider consist of matter and gauge field tensors placed on the vertices and edges, respectively, of arbitrary graphs.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation, Institut für Mathematik

Externe Organisation(en)

Instituto de Física Teórica UAM-CSIC, Hebrew University Jerusalem

Journal

Journal of Physics A: Mathematical and Theoretical

Band

58

Anzahl der Seiten

21

ISSN

1751-8113

DOI

https://doi.org/10.48550/arXiv.2410.18947

Publikationsdatum

02-2025

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik, 103024 Quantenfeldtheorie, 103019 Mathematische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Statistical and Nonlinear Physics, Statistics and Probability, Modelling and Simulation, Mathematical Physics, Allgemeine Physik und Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/9f99e284-6347-434f-b933-9e5aa9c84c44