PIRSA:20110034 Conference Quantum Fields and Strings

DOI10.48660/20110034

Conference/School: Tensor Networks: from Simulations to Holography III

Montangero, S. (2020). Unconstrained tree tensor simulations for high-dimensional quantum many-body simulations. Perimeter Institute. https://pirsa.org/20110034

Montangero, Simone. Unconstrained tree tensor simulations for high-dimensional quantum many-body simulations. Perimeter Institute, Nov. 20, 2020, https://pirsa.org/20110034 

@misc{ pirsa_PIRSA:20110034,
  doi = {10.48660/20110034},
  url = {https://pirsa.org/20110034},
  author = {Montangero, Simone},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Unconstrained tree tensor simulations for high-dimensional quantum many-body simulations},
  publisher = {Perimeter Institute},
  year = {2020},
  month = {nov},
  note = {PIRSA:20110034 see, \url{https://pirsa.org}}
}

Abstract

We present some recent results on the development of efficient unconstrained tree tensor networks algorithms and their application to high-dimensional many-body quantum systems. In particular, we present our results on topological two-dimensional systems, two-dimensional Rydberg atom systems, and two- and three-dimensional lattice gauge theories in presence of fermonic matter. Finally, we present their application to the study of open many-body quantum systems and in particular to the computation of the entanglement of formation in critical many-body quantum systems, resulting in the generalization of the Calabrese-Cardy formula to open systems.

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