干涉和量子测量镇定确定性混沌系统：Ikeda映射情形
Stabilization of Deterministically Chaotic Systems by Interference and Quantum Measurements: The Ikeda Map Case
摘要：
提出了一种能有效地镇定带反馈的相敏混沌系统的经典和量子动力学不动点的方法。它是基于反馈一个选定的量子子系综，其相位和振幅稳定，否则混沌动力学。虽然该方法是相当普遍的，我们将其应用到实现的固有混沌池田映射。一种建议的实现涉及具有克尔非线性的马赫-曾德尔干涉仪。另一种实现涉及与激光场相互作用的捕获离子。
英文摘要：
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.
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