dorsal/arxiv
View SchemaStabilization of Deterministically Chaotic Systems by Interference and Quantum Measurements: The Ikeda Map Case
| Authors | Mauro Fortunato, Gershon Kurizki, Wolfgang P. Schleich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9808048 |
| URL | https://arxiv.org/abs/quant-ph/9808048 |
| DOI | 10.1103/PhysRevLett.80.5730 |
| Journal | Phys.Rev.Lett. 80 (1998) 5730 |
Abstract
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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"abstract": "We propose a method which can effectively stabilize fixed points in the\nclassical and quantum dynamics of a phase-sensitive chaotic system with\nfeedback. It is based on feeding back a selected quantum sub-ensemble whose\nphase and amplitude stabilize the otherwise chaotic dynamics. Although the\nmethod is rather general, we apply it to realizations of the inherently chaotic\nIkeda map. One suggested realization involves the Mach-Zender interferometer\nwith Kerr nonlinearity. Another realization involves a trapped ion interacting\nwith laser fields.",
"arxiv_id": "quant-ph/9808048",
"authors": [
"Mauro Fortunato",
"Gershon Kurizki",
"Wolfgang P. Schleich"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.80.5730",
"journal_ref": "Phys.Rev.Lett. 80 (1998) 5730",
"title": "Stabilization of Deterministically Chaotic Systems by Interference and Quantum Measurements: The Ikeda Map Case",
"url": "https://arxiv.org/abs/quant-ph/9808048"
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