# Superposition of Two-Level Laser Light Beams

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## Date

2013-06

## Authors

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## Publisher

Addis Ababa University

## Abstract

We study the quantum properties of the light generated by a two-level laser in
which two-level atoms available in a closed cavity are pumped to the upper level
by means of electron bombardment. We present a brief discussion of the number
and coherent states for an arbitrary commutator of the annihilation and creation
operators.
Moreover, taking into account the interaction of the two-level atoms with a res-
onant cavity mode and the damping of the cavity mode by a vacuum reservoir,
we obtain the equations of evolution of atomic and cavity mode operators. The
solutions of these equations is used to determine the Q function for the light pro-
duced by a two-level laser. Employing this Q function, we compute the mean and
variance of photon number, and the quadrature variance. The two-level laser gen-
erates coherent light when operating well above threshold and chaotic light when
operating at threshold.
On the other hand, we obtain the Q function for the superposition of a pair of
two-level laser light beams. Applying the resulting Q function, we have calculated
the mean and variance of the photon number, and the quadrature variance. The
mean photon number of the superposed light beams turns out to be a simple sum
of the mean photon numbers of the two light beams. In addition, it is found that
the variance of the photon number of the superposed light beams is four times the
variance of the photon number of a single light beam produced by the two-level
laser

## Description

## Keywords

Two-Level Laser Light Beams