Cumulative Effects of the Temperature and Damping on the Time Dependent Entropy and Decoherence in the Caldirola-Kanai Harmonic Oscillator

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.