Titel
Gauging Quantum States: From Global to Local Symmetries in Many-Body Systems
Autor*in
Jutho Haegeman
Department of Physics and Astronomy, University of Ghent
Karel Van Acoleyen
Department of Physics and Astronomy, University of Ghent
Norbert Schuch
JARA Institute for Quantum Information, RWTH Aachen
... show all
Abstract
We present an operational procedure to transform global symmetries into local symmetries at the level of individual quantum states, as opposed to typical gauging prescriptions for Hamiltonians or Lagrangians. We then construct a compatible gauging map for operators, which preserves locality and reproduces the minimal coupling scheme for simple operators. By combining this construction with the formalism of projected entangled-pair states (PEPS), we can show that an injective PEPS for the matter fields is gauged into a G-injective PEPS for the combined gauge-matter system, which potentially has topological order. We derive the corresponding parent Hamiltonian, which is a frustration-free gauge-theory Hamiltonian closely related to the Kogut-Susskind Hamiltonian at zero coupling constant. We can then introduce gauge dynamics at finite values of the coupling constant by applying a local filtering operation. This scheme results in a low-parameter family of gauge-invariant states of which we can accurately probe the phase diagram, as we illustrate by studying a Z2 gauge theory with Higgs matter.
Stichwort
Particles and FieldsQuantum PhysicsStrongly Correlated Materials
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
Erschienen in
Titel
Physical Review X
Band
5
Ausgabe
1
Publication
American Physical Society (APS)
Erscheinungsdatum
2015
Zugänglichkeit
Rechte
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