q-deformed quadrature operator and optical tomogram
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🪐 quant-ph
math-phmath.MPphysics.optics
keywords
deformedquadratureoperatorexpressiontomogramanalyticanalyticalbasis
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In this letter, we define the homodyne $q$-deformed quadrature operator. Analytic expression for the wavefunctions of $q$-deformed oscillator in the quadrature basis are found. Furthermore, we compute the explicit analytical expression for the tomogram of the $q$-deformed coherent states by finding the eigenstates of the $q$-deformed quadrature operator.
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