Fluctuations, entropic quantifiers and classical-quantum transition

We show that a special entropic quantifier, called the statistical complexity, becomes maximal at the transition between super-Poisson and sub-Poisson regimes. This acquires important connotations given the fact that these regimes are usually associated with, respectively, classical and quantum processes.Fil: Pennini, Flavia Catalina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Católica del Norte. Departamento de Física; ChileFil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentin

The thermal statistics of quasi-probabilities' analogs in phase space

We focus attention upon the thermal statistics of the classical analogs of quasi-probabilities's (QP) in phase space for the important case of quadratic Hamiltonians. We consider the three more important OPs: 1) Wigner's, $P$-, and Husimi's. We show that, for all of them, the ensuing semiclassical entropy is a function {\it only} of the fluctuation product $\Delta x \Delta p$. We ascertain that {\it the semi-classical analog of the $P$-distribution} seems to become un-physical at very low temperatures. The behavior of several other information quantifiers reconfirms such an assertion in manifold ways. We also examine the behavior of the statistical complexity and of thermal quantities like the specific heat.Comment: 11 pages, 6 figures.Text has change

The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space

We focus attention upon the thermal statistics of the classical analogs of quasi-probabilities (QP) in phase space for the important case of quadratic Hamiltonians. We consider the three more important OPs: Wigner's, P -, and Husimi's. We show that, for all of them, the ensuing semiclassical entropy is a function only of the fluctuation product ΔxΔp. We ascertain that the semiclassical analog of P -distribution seems to become unphysical at very low temperatures. The behavior of several other information quantifiers reconfirms such an assertion in manifold ways. We also examine the behavior of the statistical complexity and of thermal quantities like the specific heat.Fil: Pennini, Flavia Catalina. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina. Universidad Católica del Norte. Departamento de Física; Chile. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Rocca, Mario Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentin

Fluctuations, entropic quantifiers and classical-quantum transition

We show that a special entropic quantifier, called the statistical complexity, becomes maximal at the transition between super-Poisson and sub-Poisson regimes. This acquires important connotations given the fact that these regimes are usually associated with, respectively, classical and quantum processes.Instituto de Física La Plat

Diverging Fano factors

We illustrate, with reference to the so-called Fano factor, that dramatic differences between the two most popular phase-space distributions (Wigner's and Husimi's) become evident at the level of the harmonic oscillator treatment.Instituto de Física La Plat

Quantum echoes in classical and semiclassical statistical treatments

Some quantal systems require only a small part of the full quantum theory for their analysis in classical terms. In such understanding we discuss some recent literature on semiclassical treatments and add some results of our own. This analysis allows one to see that some important quantum features of the harmonic oscillator, a system of great didactic value, can indeed be already encountered at the classical or semiclassical statistical levels.Instituto de Física La Plat

Quantum echoes in classical and semiclassical statistical treatments

Some quantal systems require only a small part of the full quantum theory for their analysis in classical terms. In such understanding we discuss some recent literature on semiclassical treatments and add some results of our own. This analysis allows one to see that some important quantum features of the harmonic oscillator, a system of great didactic value, can indeed be already encountered at the classical or semiclassical statistical levels.Instituto de Física La Plat

Diverging Fano factors

We illustrate, with reference to the so-called Fano factor, that dramatic differences between the two most popular phase-space distributions (Wigner's and Husimi's) become evident at the level of the harmonic oscillator treatment.Instituto de Física La Plat