Entropy for the quantized field in the atom-field interaction: Initial mixed field

TL;DR

This paper analytically calculates the entropy of a quantized field in an atom-field interaction when the field starts in a mixed state of coherent states, providing insights into the system's quantum information dynamics.

Contribution

It introduces an analytical method to compute the field entropy for mixed initial states in atom-field interactions, supported by numerical analysis.

Findings

Analytical expressions for field entropy in mixed states

Entropy evolution can be tracked up to twice the collapse time

Numerical validation of analytical results

Abstract

We study the atom-field interaction when the field is in a mixture of coherent states. We show that in this case it is possible to calculate analytically the field entropy for times of the order of twice the collapse time. Such analytical results are done with the help of numerical analysis.