Localization of Eigenstates & Mean Wehrl Entropy

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.

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

References in corpus (1)

• On Lieb's conjecture for the Wehrl entropy of Bloch coherent states

Cited by in corpus (8)

• Monge Metric on the Sphere and Geometry of Quantum States
• On Renyi entropies characterizing the shape and the extension of the phase space representation of quantum wave functions in disordered systems
• Renyi-Wehrl entropies as measures of localization in phase space
• Quantum ergodicity and entanglement in kicked coupled-tops
• Spin-phase-space-entropy production
• Marginal and density atomic Wehrl entropies for the Jaynes-Cummings model
• Orthonormal bases of extreme quantumness
• Further results on the power-law decay of the fraction of the mixed eigenstates in kicked-top model with mixed-type classical phase space