Comment on "Time-dependent entropy of simple quantum model systems"

Abstract

In the above mentioned paper by J. Dunkel and S. A. Trigger [Phys. Rev. {\bf A 71}, 052102, (2005)] a hypothesis has been pursued that the loss of information associated with the quantum evolution of pure states, quantified in terms of an increase in time of so-called Leipnik's joint entropy, could be a rather general property shared by many quantum systems. This behavior has been confirmed for the unconfined model systems and properly tuned initial data (maximally classical states). We provide two particular examples which indicate a complexity of the quantum evolution. In the presence of a confining (harmonic) potential Leipnik's entropy may be non-increasing for maximally classical initial data. Another choice of initial data implies periodicity in time of the Leipnik entropy.

Comment to appesr in Phys. Rev. A

References in corpus (2)

• Information Entropy, Information Distances and Complexity in Atoms
• Differential entropy and time

Cited by in corpus (4)

• Modular Schrödinger equation and dynamical duality
• Time dependence of joint entropy of oscillating quantum systems
• The role of interparticle interaction and environmental coupling in a two-particle open quantum system
• Quantum Central Limit Theorems, Emergence of Classicality and Time-dependent Differential Entropy