The continuum limit of a tensor network

Autor(en)

Christoph Brockt, Jutho Haegeman, David Jennings, Tobias J. Osborne, Frank Verstraete

Abstrakt

We argue that the natural way to generalise a tensor network variational class to a continuous quantum system is to use the Feynman path integral to implement a continuous tensor contraction. This approach is illustrated for the case of a recently introduced class of quantum field states known as continuous matrix-product states (cMPS). As an example of the utility of the path-integral representation we argue that the state of a dynamically evolving quantum field admits a natural representation as a cMPS. An argument that all states in Fock space admit a cMPS representation when the number of variational parameters tends to infinity is also provided.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Publikationsdatum

10-2012

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/952f7ad0-bdd8-435a-8f39-e6ce23b5f524