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arXiv · 1212.1794

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

Yidan Wang·Leong Chuan Kwek
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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.

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Yidan Wang, Leong Chuan Kwek. 2012-12-08. Two-mode squeezed states in the q-deformed Pegg-Barnett Fock space. https://arxiv.org/abs/1212.1794

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