Articulo
Fisher information contains all HO-quantum-statistics already at the semiclassical level
Registration in:
issn:0375-9601
Author
Pennini, Flavia
Plastino, Ángel Luis
Ferri, Gustavo Luís
Institutions
Abstract
We study here the difference between quantum statistical treatments and semiclassical ones, using as the main research tool a semiclassical, shift-invariant Fisher information measure built up with Husimi distributions. Its semiclassical character notwithstanding, this measure also contains abundant information of a purely quantal nature. Such a tool allows us to refine the celebrated Lieb bound for Wehrl entropies and to discover thermodynamic-like relations that involve the degree of delocalization. Fisher-related thermal uncertainty relations are developed and the degree of purity of canonical distributions, regarded as mixed states, is connected to this Fisher measure as well. Instituto de Física La Plata Universidad Nacional de La Pampa