English

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

Mathematical Physics 2012-12-11 v1 math.MP Optics

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.

Keywords

Cite

@article{arxiv.1212.1794,
  title  = {Two-mode squeezed states in the q-deformed Pegg-Barnett Fock space},
  author = {Yidan Wang and Leong Chuan Kwek},
  journal= {arXiv preprint arXiv:1212.1794},
  year   = {2012}
}