Energy dependence of the entanglement entropy of composite boson (quasiboson) systems

TL;DR

This paper explores how the entanglement entropy of composite boson systems varies with energy, using deformed oscillators and comparing with hydrogen atom states, providing new insights into their quantum entanglement properties.

Contribution

It presents the energy dependence of entanglement entropy for composite boson systems modeled by deformed oscillators and compares it with hydrogen atom states.

Findings

Entanglement entropy varies with energy for quasibosonic states.

Graphical representations illustrate the energy-entanglement relationship.

Comparison with hydrogen atom states highlights differences in entanglement behavior.

Abstract

Bipartite composite boson (quasiboson) systems, which admit realization in terms of deformed oscillators, were considered in our previous paper from the viewpoint of entanglement characteristics. These characteristics, including entanglement entropy and purity, were expressed through the relevant deformation parameter for different quasibosonic states. On the other hand, it is of interest to present the entanglement entropy and likewise the purity as function of energy for those states. In this work, the corresponding dependencies are found for different states of composite bosons realized by deformed oscillators and, for comparison, also for the hydrogen atom viewed as composite boson. The obtained results are expressed graphically and their implications discussed.