Pump-controlled exceptional points and directional random laser emission

S. Rotter,1 M. Liertzer,1 S. Esterhazy,2 T. Hisch,1 H. Tureci,3 Li Ge,4 A. Cerjan,5 A. D. Stone,5 K. G. Makris,1,3 D. Pogany,6 F. Mintert,7 D. Liu,8 S. G. Johnson,9 J. M. Melenk,2 J. Schoberl,2 M. Brandstetter,10 C. Deutsch,10 K. Unterrainer,10 P. Klang,11 G. Strasser11 1Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrase 8-10/136, A–1040 Vienna, Austria, EU 2Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstrase 8-10/136, A–1040 Vienna, Austria, EU 3Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA 4Department of Engineering Science and Physics, College of Staten Island, CUNY, New York 10314, USA 5Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA 6Institute for Solid State Electronics, Vienna University of Technology, Floragasse 7, 1040 Vienna, Austria, EU 7Freiburg Institute for Advanced Studies, Albert-Ludwigs University of Freiburg, Albertstrae 19, 79104 Freiburg, Germany, EU 8Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 9Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 10Photonics Institute, Vienna University of Technology, Gusshausstrae 27-29, A–1040 Vienna, Austria, EU 11Institute for Solid State Electronics, Vienna University of Technology, Floragasse 7, A–1040 Vienna, Austria, EU