dorsal/arxiv
View SchemaDynamical chaos versus quantum interference
| Authors | Valentin V. Sokolov, Giuliano Benenti, Giulio Casati |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611191 |
| URL | https://arxiv.org/abs/quant-ph/0611191 |
Abstract
We discuss the dephasing induced by the internal classical chaotic motion in the absence of any external environment. To this end a new extension of fidelity for mixed states is introduced, which we name {\it allegiance}. Such quantity directly accounts for quantum interference and is measurable in a Ramsey interferometry experiment. We show that in the semiclassical limit the decay of the allegiance is exactly expressed, due to the dephasing, in terms of an appropriate classical correlation function. Our results are derived analytically for the case of a nonlinear driven oscillator and then numerically confirmed for the kicked rotor model.
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"abstract": "We discuss the dephasing induced by the internal classical chaotic motion in\nthe absence of any external environment. To this end a new extension of\nfidelity for mixed states is introduced, which we name {\\it allegiance}. Such\nquantity directly accounts for quantum interference and is measurable in a\nRamsey interferometry experiment. We show that in the semiclassical limit the\ndecay of the allegiance is exactly expressed, due to the dephasing, in terms of\nan appropriate classical correlation function. Our results are derived\nanalytically for the case of a nonlinear driven oscillator and then numerically\nconfirmed for the kicked rotor model.",
"arxiv_id": "quant-ph/0611191",
"authors": [
"Valentin V. Sokolov",
"Giuliano Benenti",
"Giulio Casati"
],
"categories": [
"quant-ph"
],
"title": "Dynamical chaos versus quantum interference",
"url": "https://arxiv.org/abs/quant-ph/0611191"
},
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"variant": "snapshot-2026-03-01",
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