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

Figure 2

Left: logarithmic entropies, , , and , as a function of the temperature in -units. The solid line is the case , the dashed one is the Wigner one, and the dotted curve is assigned to the Husimi instance. Right: zoom of the logarithmic entropies as a function of temperature in -units. Negative values of occur below , with the critical temperature . Remaining details are similar to those of left figure. We have added the classical entropy of the harmonic oscillator .

(a)

(b)