PIRSA:20110034

Unconstrained tree tensor simulations for high-dimensional quantum many-body simulations

APA

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

MLA

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

BibTex

          @misc{ pirsa_20110034,
            doi = {},
            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.