Stabilization of Deterministically Chaotic Systems by Interference and   Quantum Measurements: The Ikeda Map Case
  We propose a method which can effectively stabilize fixed points in the classical and quantum dynamics of a phase-sensitive chaotic system with feedback. It is based on feeding back a selected quantum sub-ensemble whose phase and amplitude stabilize the otherwise chaotic dynamics. Although the method is rather general, we apply it to realizations of the inherently chaotic Ikeda map. One suggested realization involves the Mach-Zender interferometer with Kerr nonlinearity. Another realization involves a trapped ion interacting with laser fields. 
Mauro Fortunato (1 and 2), Gershon Kurizki (3), and Wolfgang P.   Schleich (1) ((1) University of Ulm, (2) University of Cam...