title: Towards experimental quantum-field tomography with ultracold atoms.
abstract: The experimental realization of large-scale many-body systems in atomic-optical architectures has seen immense progress in recent years, rendering full tomography tools for state identification inefficient, especially for continuous systems. To work with these emerging physical platforms, new technologies for state identification are required. Here we present first steps towards efficient experimental quantum-field tomography. Our procedure is based on the continuous analogues of matrix-product states, ubiquitous in condensed-matter theory. These states naturally incorporate the locality present in realistic physical settings and are thus prime candidates for describing the physics of locally interacting quantum fields. To experimentally demonstrate the power of our procedure, we quench a one-dimensional Bose gas by a transversal split and use our method for a partial quantum-field reconstruction of the far-from-equilibrium states of this system. We expect our technique to play an important role in future studies of continuous quantum many-body systems.
authors.affiliation: Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Berlin 14195, Germany.
authors.forename: A
authors.initials: A
authors.lastname: Steffens
authors.affiliation: Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Berlin 14195, Germany.
authors.forename: M
authors.initials: M
authors.lastname: Friesdorf
authors.affiliation: Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, Stadionallee 2, Vienna 1020, Austria.
authors.forename: T
authors.initials: T
authors.lastname: Langen
authors.affiliation: Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, Stadionallee 2, Vienna 1020, Austria.
authors.forename: B
authors.initials: B
authors.lastname: Rauer
authors.affiliation: Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, Stadionallee 2, Vienna 1020, Austria.
authors.forename: T
authors.identifier: 0000000284472683
authors.initials: T
authors.lastname: Schweigler
authors.affiliation: Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Berlin 14195, Germany.
authors.forename: R
authors.initials: R
authors.lastname: Hübener
authors.affiliation: Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, Stadionallee 2, Vienna 1020, Austria.
authors.forename: J
authors.initials: J
authors.lastname: Schmiedmayer
authors.affiliation: Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Berlin 14195, Germany.
authors.forename: C A
authors.initials: CA
authors.lastname: Riofrío
authors.affiliation: Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Berlin 14195, Germany.
authors.forename: J
authors.initials: J
authors.lastname: Eisert