High-dimensional lattice gauge theory simulations at finite density with unconstrained tree tensor networks
We present some recent developments on the development of efficient unconstrained tree tensor networks algorithms and their application to high-dimensional strongly correlated quantum systems. We present their application to the study of the interacting Hofstadter model and of open many-body quantum systems and, in particular, to the computation of the entanglement of formation in conformal field theories, resulting in the generalization of the Calabrese-Cardy formula to open systems. Finally, we present tensor network simulations of 2+1 and 3+1 dimensional lattice gauge theories at zero and finite densities, and of their confinement properties.
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