1 Quantum dot microlasers with external feedback a chaotic system close to the quantum limit Ferdinand Albert 1 , Caspar Hopfmann 1 , Stephan Reitzenstein 1 , Christian Schneider 1 , Sven Höfling 1 , Lukas Worschech 1 , Martin Kamp 1 , Wolfgang Kinzel 2 , Alfred Forchel 1 , Ido Kanter 3 1 Technische Physik and Wilhelm Conrad Röntgen Research Center for Complex Material Systems, Physikalisches Institut, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany 2 Institute for Theoretical Physics, University of Würzburg, 97074 Würzburg, Germany 3 Department of Physics, Bar-Ilan University, Ramat-Gan, 52900 Israel Corresponding authors: PD Dr. Stephan Reitzenstein, Email: stephan.reitzenstein@physik.uni-wuerzburg.de Prof. Ido Kanter, Email: kanter@mail.biu.ac.il Contact information: PD Dr. Stephan Reitzenstein Technische Physik and Wilhelm Conrad Röntgen Research Center for Complex Material Systems, Physikalisches Institut, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany Email: stephan.reitzenstein@physik.uni-wuerzburg.de