The continuum limit of a tensor network: a path integral representation

Research output: Working paper/Preprint › Preprint

Authors

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

Research Organisations

External Research Organisations

  • University of Vienna
  • Imperial College London
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Details

Original languageEnglish
Publication statusE-pub ahead of print - 19 Oct 2012

Abstract

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.

Keywords

    quant-ph

Cite this

The continuum limit of a tensor network: a path integral representation. / Brockt, Christoph; Haegeman, Jutho; Jennings, David et al.
2012.

Research output: Working paper/Preprint › Preprint

Brockt, C, Haegeman, J, Jennings, D, Osborne, TJ & Verstraete, F 2012 'The continuum limit of a tensor network: a path integral representation'. <http://arxiv.org/abs/1210.5401v1>
Brockt, C., Haegeman, J., Jennings, D., Osborne, T. J., & Verstraete, F. (2012). The continuum limit of a tensor network: a path integral representation. Advance online publication. http://arxiv.org/abs/1210.5401v1
Brockt C, Haegeman J, Jennings D, Osborne TJ, Verstraete F. The continuum limit of a tensor network: a path integral representation. 2012 Oct 19. Epub 2012 Oct 19.
Brockt, Christoph ; Haegeman, Jutho ; Jennings, David et al. / The continuum limit of a tensor network : a path integral representation. 2012.
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