Effect of initial intrasystem entanglement on entropy growth in generalized Jaynes-Cummings models

TL;DR

This study explores how initial intrasystem entanglement affects entropy growth in generalized Jaynes-Cummings models, revealing a positive correlation across various initial state ensembles and highlighting the importance of intrasystem correlations in quantum information.

Contribution

It demonstrates the influence of initial intrasystem entanglement on entropy dynamics in generalized Jaynes-Cummings models, considering diverse initial state ensembles.

Findings

Positive correlation between initial entanglement and entropy growth.

Initial entanglement's fractional contribution to entropy varies.

Intrasystem correlations significantly impact entropy in quantum processes.

Abstract

We investigate how initial intrasystem entanglement influences the entropy generated in atomic systems interacting with a photonic environment in several generalizations of the Jaynes-Cummings model with two or more subsystems. Since the initial entanglement does not uniquely determine the final entropy, we focus on ensemble-averaged behavior. We consider ensembles of initial system states, including pure and mixed Haar-random states, ensembles with fixed average energy or fixed mixedness, and varying initial photon numbers in the environment. In all cases, we observe a positive correlation between the initial entanglement and the entropy growth, although the fractional contribution of the initial entanglement varies. Our results emphasize the role of intrasystem correlations as a factor contributing to entropy growth in quantum informational processes.