Two-mode squeezed states in the q-deformed Pegg-Barnett Fock space

TL;DR

This paper explores the properties of two-mode squeezed states within the q-deformed Pegg-Barnett formalism, analyzing phase and entanglement features and how they approximate conventional states as the Fock space truncation increases.

Contribution

It demonstrates how the q-deformed Pegg-Barnett formalism can approximate standard quantum states and analyzes the effects of deformation and truncation on their properties.

Findings

Phase properties of q-deformed PB coherent states approach undeformed states with large S.

Entanglement of two-mode squeezed states can be approximated in PB states for large S.

Higher S values are needed for q-deformed states as the squeezing parameter r increases.

Abstract

We study the coherent state and two-mode squeezed state in the q-deformed Pegg-Barnett(PB) formalism. We show that when the truncation of the Fock space S is large enough, the phase properties of the q-deformed PB coherent state approach that of the undeformed PB coherent state. We also investigate the entanglement properties of the two-mode squeezed states in both the q-deformed and undeformed PB Fock space with the real squeezing parameter r. We see that if S is sufficiently large, the conventional two-mode squeezed states can be approximated with the PB (deformed and undeformed) states for arbitrary r. However, the value of S required increases more rapidly with the q-deformed PB states than the PB states as a function of r.