MULTIDIMENSIONAL HERMITE-POLYNOMIALS AND PHOTON DISTRIBUTION FOR POLYMODE MIXED LIGHT

被引：102

作者：

DODONOV, VV

MANKO, OV

MANKO, VI

机构：

[1] UNIV NAPOLI FEDERICO 2, DIPARTIMENTO SCI FIS, I-80125 NAPLES, ITALY

[2] IST NAZL FIS NUCL, SEZ NAPOLI, I-80125 NAPLES, ITALY

来源：

PHYSICAL REVIEW A | 1994年 / 50卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.50.813

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The photon distribution function of an N-mode mixed state of light described by the Wigner function of generic Gaussian form is calculated explicitly in terms of the Hermite polynomials of 2N variables with equal pairs of indices. Simple formulas for the mean values and dispersions of photon numbers are found. The N-mode photon distribution functions for squeezed photon number states and for squeezed coherent states are expressed in terms of the Hermite polynomials of 2N and N variables, respectively.

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页码：813 / 817

页数：5

相关论文

共 43 条

[1] ORDERED MOMENTS IN THE CASE OF A ONE-MODE RADIATION-FIELD WITH GAUSSIAN WIGNER FUNCTIONS [J].

ADAM, G .

PHYSICS LETTERS A, 1992, 171 (1-2) :66-70

[2] PHOTON DISTRIBUTIONS FOR NONCLASSICAL FIELDS WITH COHERENT COMPONENTS [J].

AGARWAL, GS ;

ADAM, G .

PHYSICAL REVIEW A, 1989, 39 (12) :6259-6266

[3] PHOTON-NUMBER DISTRIBUTIONS FOR QUANTUM-FIELDS GENERATED IN NONLINEAR OPTICAL PROCESSES [J].

AGARWAL, GS ;

ADAM, G .

PHYSICAL REVIEW A, 1988, 38 (02) :750-753

[4] WIGNER-FUNCTION DESCRIPTION OF QUANTUM NOISE IN INTERFEROMETERS [J].

AGARWAL, GS .

JOURNAL OF MODERN OPTICS, 1987, 34 (6-7) :909-921

[5] PHOTOCOUNT DISTRIBUTION OF 2-MODE SQUEEZED STATES [J].

ARTONI, M ;

ORTIZ, UP ;

BIRMAN, JL .

PHYSICAL REVIEW A, 1991, 43 (07) :3954-3965

[6] THERMOFIELD ANALYSIS OF SQUEEZING AND STATISTICAL MIXTURES IN QUANTUM OPTICS [J].

BARNETT, SM ;

KNIGHT, PL .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1985, 2 (03) :467-479

[7]

Bopp F., 1956, ANN I HENRI POINCARE, V15, P81

[8] PHOTON STATISTICS OF 2-MODE SQUEEZED STATES AND INTERFERENCE IN 4-DIMENSIONAL PHASE-SPACE [J].

CAVES, CM ;

ZHU, C ;

MILBURN, GJ ;

SCHLEICH, W .

PHYSICAL REVIEW A, 1991, 43 (07) :3854-3861

[9] PHOTON-NUMBER DISTRIBUTIONS FOR FIELDS WITH GAUSSIAN WIGNER FUNCTIONS [J].

CHATURVEDI, S ;

SRINIVASAN, V .

PHYSICAL REVIEW A, 1989, 40 (10) :6095-6098

[10] PHOTON DISTRIBUTION FOR ONE-MODE MIXED LIGHT WITH A GENERIC GAUSSIAN WIGNER FUNCTION [J].

DODONOV, VV ;

MANKO, OV ;

MANKO, VI .

PHYSICAL REVIEW A, 1994, 49 (04) :2993-3001

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