| Submitted by: | BUYENS, Boye UGent boye.buyens@ugent.be |
We consider the matrix product state formalism for the simulation of Hamiltonian lattice gauge theories. To this end, we define matrix product states which are manifestly gauge invariant. As an application, we study 1+1 dimensional one flavor quantum electrodynamics, also known as the massive Schwinger model. For the first time we simulate the full quantum non-equilibrium dynamics induced by a quench in the form of a uniform background electric field (i.e. the Schwinger pair creation mechanism). We are able to determine one-particle excitations in the continuum limit. Furthermore we study the effects of charge screening and confinement in the vacuum. (Reference: arxiv:1312.6654)