Phys. Rev. Lett. 80, 5730–5733 (1998)Stabilization of Deterministically Chaotic Systems by Interference and Quantum Measurements: The Ikeda Map CaseReceived 15 September 1997; revised 25 March 1998; published in the issue dated 29 June 1998 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 subensemble 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. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.5730
DOI:
10.1103/PhysRevLett.80.5730
PACS:
05.45.+b, 03.65.Sq, 42.50.-p, 42.65.-k
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