Cumulative Effects of the Temperature and Damping on the Time Dependent Entropy and Decoherence in the Caldirola-Kanai Harmonic Oscillator
M. P. Djemmo Tabue
Laboratoire de Mécanique et de Modélisation des Systèmes Physiques (L2MSP), Faculté des Sciences, Université de Dschang, BP 69 Dschang, Cameroon and Laboratory of Mesoscopy and Multilayers Structures, Faculty of Science, University of Dschang, P.O.Box: 67 Dschang, Cameroon
A. J. Fotue
Laboratory of Mesoscopy and Multilayers Structures, Faculty of Science, University of Dschang, P.O.Box: 67 Dschang, Cameroon
F. B. Pelap *
Laboratoire de Mécanique et de Modélisation des Systèmes Physiques (L2MSP), Faculté des Sciences, Université de Dschang, BP 69 Dschang, Cameroon
*Author to whom correspondence should be addressed.
Abstract
The time Dependence of probability and Shannon entropy of the specific damped harmonic oscillator systems is studied by using a prototypical Schrodinger cat state through the Feynman path method. By averaging the probability distribution over the thermal distribution of velocities, we show that, the temperature and the damped coefficient or dissipation as well as the distance separating two consecutive wave functions influence the coherence of the system.
Keywords: Damped harmonic oscillator, feynman path integral, decoherence, Shannon entropy, thermal distribution probability