Entanglement in composite bosons realized by deformed oscillators

TL;DR

This paper explores how composite bosons modeled by deformed oscillators exhibit entanglement properties directly linked to deformation parameters, enabling detailed analysis of their quantum correlations.

Contribution

It demonstrates that entanglement in composite bosons can be fully characterized by deformation parameters and extends this analysis to multi-quasiboson states.

Findings

Entanglement characteristics depend solely on deformation parameters.

Explicit formulas for bipartite entanglement in multi-quasiboson states.

Framework connects deformed oscillator formalism with quantum entanglement analysis.

Abstract

Composite bosons (or quasibosons), as recently proven, are realizable by deformed oscillators and due to that can be effectively treated as particles of nonstandard statistics (deformed bosons). This enables us to study quasiboson states and their inter-component entanglement aspects using the well developed formalism of deformed oscillators. We prove that the internal entanglement characteristics for single two-component quasiboson are determined completely by the parameter(s) of deformation. The bipartite entanglement characteristics are generalized and calculated for arbitrary multi-quasiboson (Fock, coherent etc.) states and expressed through deformation parameter.