Information-Theoretic Uncertainty Relation and Random-Phase Entropy

Details Information-Theoretic Uncertainty Relation and Random-Phase Entropy Information-Theoretic Uncertainty Relation and Random-Phase Entropy

2010-01-18

arxiv.org/abs/1001.2966v1

Physics

Quantum Physics

RevTex 4 pages, 4 figures

Scientific paper

Dunkel and Trigger [Phys. Rev. A {71}, 052102 (2005)] show that the Leipnik's joint entropy monotonously increases for the initially maximally classical Gaussian wave packet for a free particle. After expressing the joint entropy of the general Gaussian wave packets for quadratic Hamiltonians as $S (t) = ln (e/2) + ln (2 Delta x (t) Delta p (t)/hbar)$, we show that a class of general Gaussian wave packets does not warrant the monotonous increase of the joint entropy. We propose that the random-phase entropy with respect to the squeeze angle always monotonously increases even for non-maximally classical states.

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