dorsal/arxiv
View SchemaQuantum dephasing and decay of classical correlation functions in chaotic systems
| Authors | Valentin V. Sokolov, Giuliano Benenti, Giulio Casati |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504141 |
| URL | https://arxiv.org/abs/quant-ph/0504141 |
| DOI | 10.1103/PhysRevE.75.026213 |
| Journal | Phys. Rev. E 75, 026213 (2007) |
Abstract
We discuss the dephasing induced by the internal classical chaotic motion in the absence of any external environment. To this end we consider a suitable extension of fidelity for mixed states which is measurable in a Ramsey interferometry experiment. We then relate the dephasing to the decay of this quantity which, in the semiclassical limit, is expressed in terms of an appropriate classical correlation function. Our results are derived analytically for the example 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 we consider a suitable\nextension of fidelity for mixed states which is measurable in a Ramsey\ninterferometry experiment. We then relate the dephasing to the decay of this\nquantity which, in the semiclassical limit, is expressed in terms of an\nappropriate classical correlation function. Our results are derived\nanalytically for the example of a nonlinear driven oscillator and then\nnumerically confirmed for the kicked rotor model.",
"arxiv_id": "quant-ph/0504141",
"authors": [
"Valentin V. Sokolov",
"Giuliano Benenti",
"Giulio Casati"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.75.026213",
"journal_ref": "Phys. Rev. E 75, 026213 (2007)",
"title": "Quantum dephasing and decay of classical correlation functions in chaotic systems",
"url": "https://arxiv.org/abs/quant-ph/0504141"
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