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Entanglement Renormalization for Quantum Fields in Real Space

Autor(en)
Jutho Haegeman, Tobias Osborne, Henri Verschelde, Frank Verstraete
Abstrakt

We show how to construct renormalization group (RG) flows of quantum field theories in real space, as opposed to the usual Wilsonian approach in momentum space. This is achieved by generalizing the multiscale entanglement renormalization ansatz to continuum theories. The variational class of wave functions arising from this RG flow are translation invariant and exhibits an entropy-area law. We illustrate the construction for a free nonrelativistic boson model, and argue that the full power of the construction should emerge in the case of interacting theories.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Ghent University , Gottfried Wilhelm Leibniz Universität Hannover
Journal
Physical Review Letters
Band
110
Anzahl der Seiten
5
ISSN
0031-9007
DOI
https://doi.org/10.1103/PhysRevLett.110.100402
Publikationsdatum
03-2013
Peer-reviewed
Ja
ÖFOS 2012
103025 Quantenmechanik
Schlagwörter
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/52a83b03-d597-490d-9ba2-6babec5475b3