Matrix Product States for Gauge Field Theories

Autor(en)

Boye Buyens, Jutho Haegeman, Karel Van Acoleyen, Henri Verschelde, Frank Verstraete

Abstrakt

The matrix product state formalism is used to simulate Hamiltonian lattice gauge theories. To this end, we define matrix product state manifolds which are manifestly gauge invariant. As an application, we study (1+1)-dimensional one flavor quantum electrodynamics, also known as the massive Schwinger model, and are able to determine very accurately the ground-state properties and elementary one-particle excitations in the continuum limit. In particular, a novel particle excitation in the form of a heavy vector boson is uncovered, compatible with the strong coupling expansion in the continuum. We also study full quantum nonequilibrium dynamics by simulating the real-time evolution of the system induced by a quench in the form of a uniform background electric field.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Ghent University

Journal

Physical Review Letters

Band

113

Anzahl der Seiten

5

ISSN

0031-9007

DOI

https://doi.org/10.1103/PhysRevLett.113.091601

Publikationsdatum

08-2014

Peer-reviewed

Ja

ÖFOS 2012

103024 Quantenfeldtheorie

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/1822ed37-c88d-4887-a2a9-05415e4c8e24