Entropies for coupled harmonic oscillators and temperature

Document Type : Regular article


1 Laboratory of Theoretical Physics Faculty of Sciences Ibn Maachou Street

2 Physics Department, College of Science, King Faisal University, PO Box 380, Alahsa 31982, Saudi Arabia


We study two entropies of a system composed of two coupled harmonic oscillators which is

brought to a canonical thermal equilibrium with a heat-bath at temperature T . Using the purity

function, we explicitly determine the Rényi and van Newmon entropies in terms of different physical

parameters. We will numerically analyze these two entropies under suitable conditions and show

their relevance.