4 papers
Variational Monte Carlo simulation with tensor networks of a pure gauge theory in (2+1)d
Patrick Emonts, Mari Carmen Bañuls, J. Ignacio Cirac +1
Variational minimization of tensor network states enables the exploration of low energy states of lattice gauge theories. However, the exact numerical evaluation of high-dimensiona…
Real-time dynamics in 2+1d compact QED using complex periodic Gaussian states
Julian Bender, Patrick Emonts, Erez Zohar +1
We introduce a class of variational states to study ground state properties and real-time dynamics in (2+1)-dimensional compact QED. These are based on complex Gaussian states whic…
Monte Carlo study of the discontinuous quantum phase transition in the transverse-field Ising model on the pyrochlore lattice
Patrick Emonts, Stefan Wessel
The antiferromagnetic Ising model on the pyrochlore lattice exhibits a quantum phase transition in an applied transverse field from the low-field quantum spin-ice phase to the high…
Gauss Law, Minimal Coupling and Fermionic PEPS for Lattice Gauge Theories
Patrick Emonts, Erez Zohar
In these lecture notes, we review some recent works on Hamiltonian lattice gauge theories, that involve, in particular, tensor network methods. The results reviewed here are tailor…