Work

Multidimensional Hermite polynomials and photon distribution for polymode mixed light

Year: 1994

Type: article

Abstract: 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.

Source: Physical Review A

DOI: 10.1103/physreva.50.813

Authors: V. V. Dodonov, O. V. Man’ko, V. I. Man’ko

Institutions: P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, University of Naples Federico II

Language: English

Topic: Quantum optics and atomic interactions

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2009165356

FWCI: 4.908

Cites: 32

Cited by: 102

Related to: 10