title: Advanced-Retarded Differential Equations in Quantum Photonic Systems.
abstract: We propose the realization of photonic circuits whose dynamics is governed by advanced-retarded differential equations. Beyond their mathematical interest, these photonic configurations enable the implementation of quantum feedback and feedforward without requiring any intermediate measurement. We show how this protocol can be applied to implement interesting delay effects in the quantum regime, as well as in the classical limit. Our results elucidate the potential of the protocol as a promising route towards integrated quantum control systems on a chip.
authors.affiliation: Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
authors.forename: Unai
authors.initials: U
authors.lastname: Alvarez-Rodriguez
authors.affiliation: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, Jena 07743, Germany.|Max Born Institute, Max Born Strasse 2A, 12489 Berlin, Germany.
authors.forename: Armando
authors.initials: A
authors.lastname: Perez-Leija
authors.affiliation: Department of Theoretical Physics and History of Science, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
authors.forename: Iñigo L
authors.initials: IL
authors.lastname: Egusquiza
authors.affiliation: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, Jena 07743, Germany.
authors.forename: Markus
authors.initials: M
authors.lastname: Gräfe
authors.affiliation: Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
authors.forename: Mikel
authors.initials: M
authors.lastname: Sanz
authors.affiliation: Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
authors.forename: Lucas
authors.initials: L
authors.lastname: Lamata
authors.affiliation: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, Jena 07743, Germany.|Institute for Physics, University of Rostock, Albert-Einstein-Straße 23, 18059 Rostock, Germany.
authors.forename: Alexander
authors.initials: A
authors.lastname: Szameit
authors.affiliation: Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.|IKERBASQUE, Basque Foundation for Science, Maria Diaz de Haro 3, 48013 Bilbao, Spain.
authors.forename: Enrique
authors.initials: E
authors.lastname: Solano