dorsal/arxiv
View SchemaLocalization of Eigenstates & Mean Wehrl Entropy
| Authors | Karol Zyczkowski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910088 |
| URL | https://arxiv.org/abs/quant-ph/9910088 |
| DOI | 10.1016/S1386-9477(00)00266-6 |
| Journal | Physica E 9, 583 (2001) |
Abstract
Dynamics of a periodically time dependent quantum system is reflected in the features of the eigenstates of the Floquet operator. Of the special importance are their localization properties quantitatively characterized by the eigenvector entropy, the inverse participation ratio or the eigenvector statistics. Since these quantities depend on the choice of the eigenbasis, we suggest to use the overcomplete basis of coherent states, uniquely determined by the classical phase space. In this way we define the mean Wehrl entropy of eigenvectors of the Floquet operator and demonstrate that this quantity is useful to describe quantum chaotic systems.
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"abstract": "Dynamics of a periodically time dependent quantum system is reflected in the\nfeatures of the eigenstates of the Floquet operator. Of the special importance\nare their localization properties quantitatively characterized by the\neigenvector entropy, the inverse participation ratio or the eigenvector\nstatistics. Since these quantities depend on the choice of the eigenbasis, we\nsuggest to use the overcomplete basis of coherent states, uniquely determined\nby the classical phase space. In this way we define the mean Wehrl entropy of\neigenvectors of the Floquet operator and demonstrate that this quantity is\nuseful to describe quantum chaotic systems.",
"arxiv_id": "quant-ph/9910088",
"authors": [
"Karol Zyczkowski"
],
"categories": [
"quant-ph",
"chao-dyn",
"nlin.CD"
],
"doi": "10.1016/S1386-9477(00)00266-6",
"journal_ref": "Physica E 9, 583 (2001)",
"title": "Localization of Eigenstates \u0026 Mean Wehrl Entropy",
"url": "https://arxiv.org/abs/quant-ph/9910088"
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