Localization of Eigenstates & Mean Wehrl Entropy

Details Localization of Eigenstates & Mean Wehrl Entropy Localization of Eigenstates & Mean Wehrl Entropy

1999-10-21

arxiv.org/abs/quant-ph/9910088v1

Physica E 9, 583 (2001)

Physics

Quantum Physics

7 pages in Latex with 4 pictures in .ps (included), submitted to Physica E

Scientific paper

10.1016/S1386-9477(00)00266-6

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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