Factorisation of analytic representations in the unit disk and number-phase statistics of a quantum harmonic oscillator

Abstract

The inner-outer part factorisation of analytic representations in the unit disk is used for an effective characterisation of the number-phase statistical properties of a quantum harmonic oscillator. It is shown that the factorisation is intimately connected to the number-phase Weyl semigroup and its properties. In the Barut-Girardello analytic representation the factorisation is implemented as a convolution. Several examples are given which demonstrate the physical significance of the factorisation and its role for quantum statistics. In particular, we study the effect of phase-space interference on the factorisation properties of a superposition state.

to appear in J. Phys. A, LaTeX, 13 pages, no figures. More information on http://www.technion.ac.il/~brif/science.html

References in corpus (2)

• Analytic representations based on SU(1,1) coherent states and their applications
• Improvement of measurement accuracy in SU(1,1) interferometers

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