dorsal/arxiv
View SchemaThe survival probability and the local density of states for one-dimensional Hamiltonian systems
| Authors | Jiri Vanicek, Doron Cohen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303103 |
| URL | https://arxiv.org/abs/quant-ph/0303103 |
| DOI | 10.1088/0305-4470/36/36/310 |
| Journal | J. Phys. A: Math. Gen. 36, 9591 (2003). |
Abstract
For chaotic systems there is a theory for the decay of the survival probability, and for the parametric dependence of the local density of states. This theory leads to the distinction between "perturbative" and "non-perturbative" regimes, and to the observation that semiclassical tools are useful in the latter case. We discuss what is "left" from this theory in the case of one-dimensional systems. We demonstrate that the remarkably accurate {\em uniform} semiclassical approximation captures the physics of {\em all} the different regimes, though it cannot take into account the effect of strong localization.
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"abstract": "For chaotic systems there is a theory for the decay of the survival\nprobability, and for the parametric dependence of the local density of states.\nThis theory leads to the distinction between \"perturbative\" and\n\"non-perturbative\" regimes, and to the observation that semiclassical tools are\nuseful in the latter case. We discuss what is \"left\" from this theory in the\ncase of one-dimensional systems. We demonstrate that the remarkably accurate\n{\\em uniform} semiclassical approximation captures the physics of {\\em all} the\ndifferent regimes, though it cannot take into account the effect of strong\nlocalization.",
"arxiv_id": "quant-ph/0303103",
"authors": [
"Jiri Vanicek",
"Doron Cohen"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall",
"nlin.CD"
],
"doi": "10.1088/0305-4470/36/36/310",
"journal_ref": "J. Phys. A: Math. Gen. 36, 9591 (2003).",
"title": "The survival probability and the local density of states for one-dimensional Hamiltonian systems",
"url": "https://arxiv.org/abs/quant-ph/0303103"
},
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