title: Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States.
abstract: We numerically study the zero temperature phase structure of the multiflavor Schwinger model at nonzero chemical potential. Using matrix product states, we reproduce analytical results for the phase structure for two flavors in the massless case and extend the computation to the massive case, where no analytical predictions are available. Our calculations allow us to locate phase transitions in the mass-chemical potential plane with great precision and provide a concrete example of tensor networks overcoming the sign problem in a lattice gauge theory calculation.
authors.affiliation: Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany.
authors.forename: Mari Carmen
authors.initials: MC
authors.lastname: Bañuls
authors.affiliation: Goethe-Universität Frankfurt am Main, Institut für Theoretische Physik, Max-von-Laue-Straße 1, 60438 Frankfurt am Main, Germany.|Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland.
authors.forename: Krzysztof
authors.initials: K
authors.lastname: Cichy
authors.affiliation: Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany.
authors.forename: J Ignacio
authors.initials: JI
authors.lastname: Cirac
authors.affiliation: NIC, DESY Zeuthen, Platanenallee 6, 15738 Zeuthen, Germany.
authors.forename: Karl
authors.initials: K
authors.lastname: Jansen
authors.affiliation: Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany.
authors.forename: Stefan
authors.initials: S
authors.lastname: Kühn