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

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