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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