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Journal of Physics A Mathematical and General

Even and odd q-coherent states and their optical statistics properties

Fa-Bo Wang, Le‐Man Kuang

Published Jan 21, 1993• 10 citations
Publisher

Abstract

The authors construct explicitly even and odd q-coherent states (qCSs), which are proved to form a representation of the quantum Heisenberg-Weyl algebra, and study their properties. It is shown that optical statistics properties of the even and odd qCSs are very different. They find that an even qCS exhibits squeezing but no antibunching effect and an odd qCS has antibunching effect but no squeezing for all finite-q values.

DOI
10.1088/0305-4470/26/2/016

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The authors construct explicitly even and odd q-coherent states (qCSs), which are proved to form a representation of the quantum Heisenberg-Weyl algebra, and study their properties. It is shown that optical statistics properties of the even and odd qCSs are very different. They find that an even qCS exhibits squeezing but no antibunching effect and an odd qCS has antibunching effect but no squeezing for all finite-q values.
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A new kind of even and odd nonlinear coherent states are defined. Using the numerical method, we have studied quantum statistical properties of the new even and odd nonlinear coherent states. It is shown that quantum statistical properties of the new even and odd nonlinear coherent states are very different from those of the usual even and odd coherent states. It is found that, in some ranges of 1beta1, the squeezing only exists in the new even nonlinear coherent state, and the amplitude-squared squeezing and antibunching effect appear for both new even and odd nonlinear coherent states.
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