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Chinese Physics C

Phase Probability Distributions of Pair q-Coherent States

Zhongqing Wang, Chang‐Kui Duan

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

Based on our previous work, the phase state and phase operator introduced by Pegg and Barnett are generalized to two-mode q-deformed circumstances. With the aid of numerical method, the phase probability distributions of q-deformed pair coherent state are investigated. It is shown that these probability distributions of the state are regulated by the parameters of phase, the q-number and the magnitude of |ξ|. Therefore, the q-deformed pair coherent state exhibits different quantum interference properties.

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Based on our previous work, the phase state and phase operator introduced by Pegg and Barnett are generalized to two-mode q-deformed circumstances. With the aid of numerical method, the phase probability distributions of q-deformed pair coherent state are investigated. It is shown that these probability distributions of the state are regulated by the parameters of phase, the q-number and the magnitude of |ξ|. Therefore, the q-deformed pair coherent state exhibits different quantum interference properties.
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.