Spyros Sotiriadis: Hamiltonian Truncation Tensor Networks: a new numerical method for the simulation of 1+1D quantum field theory

The classical simulation of quantum field theories is a challenging problem. We will present a new method for the study of 1+1D quantum field theory models, built upon Hamiltonian Truncation and Tensor Network techniques, which is suitable for the study of low-energy eigenstates and out-of-equilibrium dynamics. Applications of the new method to the sine-Gordon and massive Schwinger model demonstrate that, despite its relatively high computational cost compared to typical Tensor Network applications, it dramatically improves precision compared to Exact Diagonalisation-based Hamiltonian Truncation, allowing the study of non-perturbative regimes of the models’ phase diagram and of far from equilibrium dynamics after a quantum quench.