We are concerned with an information-theoretic measure of uncertainty for quantum systems. Precisely, the Wehrl entropy of the phase-space probability Q (m) ρ = z, m|ρ|z, m which is known as Husimi function, whereρ is a density operator and |z, m are coherent states attached to an Euclidean mth Landau level. We obtain the Husimi function Q (m) β of the thermal density operator ρ β of the harmonic oscillator, which leads by duality, to the Laguerre probability distribution of the mixed light. We discuss some basic properties of Q (m) β such as its characteristic function and its limiting logarithmic moment generating function from which we derive the rate function of the sequence of probability distributions Q (m)β , m = 0, 1, 2, .... For m ≥ 1, we establish an exact expression for the Wehrl entropy of the density operatorρ β and we discuss the behavior of this entropy with respect to the temperature parameter T = 1/β.
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