dorsal/arxiv
View SchemaSensitivity of Quantum Motion for Classically Chaotic Systems
| Authors | Giuliano Benenti, Giulio Casati |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112060 |
| URL | https://arxiv.org/abs/quant-ph/0112060 |
| DOI | 10.1103/PhysRevE.65.066205 |
| Journal | Phys. Rev. E 65, 066205 (2002) |
Abstract
We discuss the behavior of fidelity for a classically chaotic quantum system in the metallic regime. We show the existence of a critical value of the perturbation below which the exponential decay of fidelity is determined by the width of the Breit-Wigner distribution and above which the quantum decay follows the classical one which is ruled by the Lyapunov exponent. The independence of the decay {\it rate} from the perturbation strength derives from the similarity of the quantum and classical relaxation process inside the Heisenberg time scale.
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"abstract": "We discuss the behavior of fidelity for a classically chaotic quantum system\nin the metallic regime. We show the existence of a critical value of the\nperturbation below which the exponential decay of fidelity is determined by the\nwidth of the Breit-Wigner distribution and above which the quantum decay\nfollows the classical one which is ruled by the Lyapunov exponent. The\nindependence of the decay {\\it rate} from the perturbation strength derives\nfrom the similarity of the quantum and classical relaxation process inside the\nHeisenberg time scale.",
"arxiv_id": "quant-ph/0112060",
"authors": [
"Giuliano Benenti",
"Giulio Casati"
],
"categories": [
"quant-ph",
"cond-mat",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.65.066205",
"journal_ref": "Phys. Rev. E 65, 066205 (2002)",
"title": "Sensitivity of Quantum Motion for Classically Chaotic Systems",
"url": "https://arxiv.org/abs/quant-ph/0112060"
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