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Acta Physica Sinica

Characteristic functions and quasi-probability distribution functions of multi-mode Bose quadratic polynomial system

Xu Xiu-Wei, Ren Ting-Qi, Chi Yong-jiang, You‐Liang Zhu, Liu Shu-Yan, 烟台师范学院物理系，烟台 264025

Published Jan 1, 2006• 2 citations
Publisher

Abstract

The multi-mode Bose quadratic polynomial system (MBQPS) is studied. The normal, anti-normal, Wigner characteristic functions, P-representation and Q-representation of MBQPS are presented by utilizing the general theory of linear quantum transformation of multi-mode Bose system. And as a example, its quantum squeezed characteristics are studied.

DOI
10.7498/aps.55.3892

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The multi-mode Bose quadratic polynomial system (MBQPS) is studied. The normal, anti-normal, Wigner characteristic functions, P-representation and Q-representation of MBQPS are presented by utilizing the general theory of linear quantum transformation of multi-mode Bose system. And as a example, its quantum squeezed characteristics are studied.
Three characteristic functions are reviewed along with the quantum theory of linear systems and used to derive the P-representation, Wigner distribution and quasi-probability density of coherent states and squeezed states. The quasiprobability density is interpreted as the outcome of measurements utilising a beamsplitter with homodyne detection. The quasiprobability density concept is generalised and its interpretation in terms of a measurement is presented. The measurement utilises a beam splitter with one of its inputs in a squeezed state followed by two homodyne detectors.