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Continuous Matrix Product States for Quantum Fields

Autor(en)
Frank Verstraete, J. Ignacio Cirac
Abstrakt

We define matrix product states in the continuum limit, without any reference to an underlying lattice parameter. This allows us to extend the density matrix renormalization group and variational matrix product state formalism to quantum field theories and continuum models in 1 spatial dimension. We illustrate our procedure with the Lieb-Liniger model.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Max-Planck-Institut für Quantenoptik
Journal
Physical Review Letters
Band
104
Anzahl der Seiten
4
ISSN
0031-9007
DOI
https://doi.org/10.1103/PhysRevLett.104.190405
Publikationsdatum
05-2010
Peer-reviewed
Ja
ÖFOS 2012
103026 Quantenoptik
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/3d53e86b-def1-49f2-947c-4bb4161d28bf