Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Modern Optics

Simple Analytical Formulae for Squeezing in Unsaturated Two-photon Absorption

A. Bandilla

Published Jun 1, 1987• 4 citations
Publisher

Abstract

By summation of the short-time expansion, a new expansion in decreasing powers of the initial photon number is obtained that gives simple analytical results. In this paper these formulae are applied to calculate the squeezing effect due to two-photon absorption and to discuss the mechanism of its generation.
DOI
10.1080/09500348714550821

Related papers

Squeezing Parameters in Two-photon Absorption

Priscila Garcı́a-Fernández, L. Sáinz de los Terreros, Francisco Javier Bermejo

A comparison is made between exact numerical results of the squeezing parameters in single-mode two-photon absorption with those predicted by short-time calculations. Numerical calculations lead to much higher squeezing and at longer times than those predicted by short-time calculations. The value of the squeezing parameter in the limit of long times and large initial photon numbers coincides in both calculations, as well as in the limit of long times and small initial photon numbers.

Optica Acta International Journal of Optics•Aug 1, 1986•6 citations

Siplified description of unsaturated two-photon absorption. 1. Summation of the short-time expansion

A. Bandilla

Optics Communications•Nov 1, 1985•4 citations

AMPLITUDE N-POWER SQUEEZING IN A TWO-PHOTON ABSORPTION MEDIUM

JIANG HAI-HE, Lin-sheng He, 中国科学院安徽光学精密机械研究所,合肥230031

From the equation for the matrix elements of the field density in the two-photon process, with the aid of the generation function method, the exact analytical expressions of the amplitude N-power squeezing generating in two-photon absorption process are derived. The variation of the amplitude N-power squeezing with the diemensionless time τ, power exponent N, the phase θ and the average number of photons of the incident field are discussed. It have been shown that the amplitude N-power squeezing for different power exponents N is independent of each other, the two-photon absorption process is one of effective ways to generate the amplitude N-power squeezing.

Acta Physica Sinica•Jan 1, 1993•0 citations

Squeezing in Multiphoton Absorption

Paulina Marian

The conditions for obtaining squeezing by single-beam multiphoton absorption are examined. For an initial coherent light the amount of squeezing is calculated in the second order of interaction time using the master-equation formalism. A limit formula for the amount of squeezing is found in the case of an initial strong coherent beam. The results are compared with the exact numerical calculations and some remarks are made on the short-time approximation in multiphoton absorption.

Journal of Modern Optics•Mar 1, 1990•1 citation

Generation of Nonclassical Light by Unsaturated Two-Photon Absorption

Goggi Madhavi Latha, Meenakshisundaram Sripriya, N. Ramesh

In this paper, we investigate the distribution statistics of photons in a single mode radiation field subjected to two-photon absorption (TPA) and the factors that contribute to squeezing and antibunching of photons, leading to the generation of nonclassical light. TPA is a nonlinear optical phenomenon in which the atoms interact with the light field by absorbing two photons simultaneously. The motivation to study TPA is the recent intense activity on nanocrystallites/quantum dots. Further, it is the only nonlinear optical phenomenon that can be analytically studied. The simultaneous occurrence of squeezing and antibunching is studied with small initial photon numbers by solving the master equation for TPA of a single mode radiation directly by numerical integration, without going through analytical procedure. The results are compared with those of analytical/numerical procedures available. Further, the discussion on the parameters of squeezing and antibunching for short-time (ST) as well as long-time is done comprehensively in the present work by taking up the ST approximation and summation of ST (SST) procedure along with the exact numerical method.

Optics and Photonics Journal•Jan 1, 2017•3 citations

SQUEEZING OF THE SQUARE OF THE FIELD AMPLITUDE IN TWO-PHOTON ABSORPTION PROCESS

Lin-sheng He, 中国科学院安徽光学精密机械研究所,合肥,230031

From the master equation of the field density for the two-photon process, with the help of the generation function method, the expressions of the squeezing of the square of the field amplitude generated in two-photon absorption process are derived. The variations of the square of the field amplitude with the dimensionless time τ, the phase θ and the average number of photons of the incident field are discussed. It is shown that the two-photon absorption process is an effective way generating the squeezing effect of the square amplitude of the field. Finally, the independence of the amplitude-squared squeezing effect is demonstrated.

Acta Physica Sinica•Jan 1, 1991•0 citations
From the equation for the matrix elements of the field density in the two-photon process, with the aid of the generation function method, the exact analytical expressions of the amplitude N-power squeezing generating in two-photon absorption process are derived. The variation of the amplitude N-power squeezing with the diemensionless time τ, power exponent N, the phase θ and the average number of photons of the incident field are discussed. It have been shown that the amplitude N-power squeezing for different power exponents N is independent of each other, the two-photon absorption process is one of effective ways to generate the amplitude N-power squeezing.
In this paper, we investigate the distribution statistics of photons in a single mode radiation field subjected to two-photon absorption (TPA) and the factors that contribute to squeezing and antibunching of photons, leading to the generation of nonclassical light. TPA is a nonlinear optical phenomenon in which the atoms interact with the light field by absorbing two photons simultaneously. The motivation to study TPA is the recent intense activity on nanocrystallites/quantum dots. Further, it is the only nonlinear optical phenomenon that can be analytically studied. The simultaneous occurrence of squeezing and antibunching is studied with small initial photon numbers by solving the master equation for TPA of a single mode radiation directly by numerical integration, without going through analytical procedure. The results are compared with those of analytical/numerical procedures available. Further, the discussion on the parameters of squeezing and antibunching for short-time (ST) as well as long-time is done comprehensively in the present work by taking up the ST approximation and summation of ST (SST) procedure along with the exact numerical method.
From the master equation of the field density for the two-photon process, with the help of the generation function method, the expressions of the squeezing of the square of the field amplitude generated in two-photon absorption process are derived. The variations of the square of the field amplitude with the dimensionless time τ, the phase θ and the average number of photons of the incident field are discussed. It is shown that the two-photon absorption process is an effective way generating the squeezing effect of the square amplitude of the field. Finally, the independence of the amplitude-squared squeezing effect is demonstrated.