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• W2005197212 abstract "We construct a new family of q-deformed coherent states |z⟩q, where 0 < q < 1. These states are normalizable on the whole complex plane and continuous in their label z. They allow the resolution of unity in the form of an ordinary integral with a positive weight function obtained through the analytic solution of the associated Stieltjes power-moment problem and expressed in terms of one of the two Jacksons's q-exponentials. They also permit exact evaluation of matrix elements of physically-relevant operators. We use this to show that the photon number statistics for the states is sub-Poissonian and that they exhibit quadrature squeezing as well as an enhanced signal-to-quantum noise ratio over the conventional coherent state value. Finally, we establish that they are the eigenstates of some deformed boson annihilation operator and study some of their characteristics in deformed quantum optics." @default.
• W2005197212 created "2016-06-24" @default.
• W2005197212 creator A5071205193 @default.
• W2005197212 date "2002-10-15" @default.
• W2005197212 modified "2023-10-16" @default.
• W2005197212 title "New<i>q</i>-deformed coherent states with an explicitly known resolution of unity" @default.
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• W2005197212 doi "https://doi.org/10.1088/0305-4470/35/43/316" @default.
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