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

Sub-Poissonian Photon Statistics and Higher-order Squeezing in the Light Amplifier with Input Binomial States

Priscila Garcia, Francisco Javier Bermejo, J. Santoro, L. Sáinz de los Terreros

Published Jun 1, 1987• 3 citations
Publisher

Abstract

We make a comparison between the necessary and sufficient conditions on the gain of the linear amplifier under which the light output exhibits sub-Poissonian photon statistics or squeezing and exact numerical results, obtained by solving the master equation by means of matrix procedures, and find good agreement. We find numerically that higher-order squeezing persists in a region in which sub-Poissonian statistics and second-order squeezing have already disappeared, for certain parameter ranges of input binomial states.

DOI
10.1080/09500348714550891

Related papers

Sub-Poissonian photon statistics and higher-order squeezing behavior of Bernouilli states in the linear amplifier

P. García-Fernández, Francisco Javier Bermejo

A parameteric study was performed of the sub-Poissonian photon statistics and higher-order squeezing characteristics of Bernouilli states undergoing a linear amplification process. The necessary and sufficient conditions on the amplifier gain under which the output light exhibits sub-Poissonian photon statistics or squeezing were compared with exact numerical results, and good agreement was obtained. On the other hand, it was shown that Bernouilli states exhibit higher-order squeezing for some parameter ranges. The degree of higher-order squeezing decreases, and its duration becomes shorter, as the phase of the Bernouilli state increases.

Journal of the Optical Society of America B•Oct 1, 1987•5 citations

Conditions for nonclassical behavior in the light amplifier

C. K. Hong, Stephen R. Friberg, L. Mandeļ

The necessary and sufficient conditions on the gain of the linear amplifier are determined under which the light output exhibits sub-Poissonian photon statistics or squeezing. It is found that for these effects the intensity gain must not exceed 2 under any circumstances. It is also shown that there exists a weaker sufficiency condition on the gain above which all nonclassical features of the field disappear. This suggests the possibility that other quantum effects may persist in the intermediate, still unexplored, domain of operation of the amplifier.

Journal of the Optical Society of America B•Mar 1, 1985•56 citations

Sub-Poissonian statistics in phase-sensitive linear light amplifiers and absorbers

M.‐A. Dupertuis, Stig Stenholm

We study the photon statistics at the output of phase-sensitive amplifiers and absorbers. It is argued that the photon statistics is independent of a detailed description of the rigged energy reservoir; therefore, we use a simple phenomenological model including only three parameters. The mean number of photons and the Mandel parameter Q at the output are studied as a function of the reservoir state and the input state. General conditions for sub-Poissonian output light are stated with use of three characteristic moments of the input state. We find an interesting intermediate regime where the device can have a sub-Poissonian output for a certain class of super-Poissonian input states.

Physical Review A•Feb 1, 1988•16 citations

SQUEEZING AND OTHER NON-CLASSICAL FEATURES IN k-PHOTON ANHARMONIC OSCILLATOR IN BINOMIAL AND NEGATIVE BINOMIAL STATES OF THE FIELD

Amitabh Joshi, S. V. Lawande

A systematic study of squeezing obtained from k-photon anharmonic oscillator (with interaction hamiltonian of the form (a†)kak, k ≥ 2) interacting with light whose statistics can be varied from sub-Poissonian to poissonian via binomial state of field and super-Poissonian to poissonian via negative binomial state of field is presented. We predict that for all values of k there is a tendency increase in squeezing with increased sub-Poissonian character of the field while the reverse is true with super-Poissonian field. We also present non-classical behavior of the first order coherence function explicitly for k = 2 case (i.e., for two-photon anharmonic oscillator model used for a Kerr-like medium) with variation in the statistics of the input light.

Modern Physics Letters B•Jan 20, 1990•2 citations

Higher order sub-Poissonian photon statistics and their use in detection of Hong and Mandel squeezing and amplitude-squared squeezing

Hari Prakash, Devendra Kumar Mishra

We study higher order sub-Poissonian photon statistics conditions for non-classicality in the form of general inequalities for expectation values of products of arbitrary powers of photon number and of photon-number fluctuation. We discuss their use for the detection of (i) Hong and Mandel's squeezing of arbitrary order and (ii) amplitude-squared squeezing. Also, we discuss examples of states that exhibit some higher order sub-Poissonian photon statistics but not others.

Journal of Physics B Atomic Molecular and Optical Physics•Apr 24, 2006•51 citations

Statistical properties of squeezed Kerr states

Christopher C. Gerry, R. Grobe

We study the statistical properties of squeezed Kerr states generated by squeezing, with a two-photon parametric process, the output of a Kerr medium whose input is coherent light. The squeezing has the effect of allowing the photon statistics to depend on the Kerr nonlinearity. Without the squeezing the statistics are Poissonian, but after squeezing they may be either sub-Poissonian or super-Poissonian. We also study the Q-function quasiprobability distribution for these states and related distributions associated with the quantum-mechanical phase. Finally, we show that quadrature squeezing can be enhanced and that squeezing and sub-Poissonian statistics can coexist.

Physical Review A•Mar 1, 1994•38 citations
We make a comparison between the necessary and sufficient conditions on the gain of the linear amplifier under which the light output exhibits sub-Poissonian photon statistics or squeezing and exact numerical results, obtained by solving the master equation by means of matrix procedures, and find good agreement. We find numerically that higher-order squeezing persists in a region in which sub-Poissonian statistics and second-order squeezing have already disappeared, for certain parameter ranges of input binomial states.
A parameteric study was performed of the sub-Poissonian photon statistics and higher-order squeezing characteristics of Bernouilli states undergoing a linear amplification process. The necessary and sufficient conditions on the amplifier gain under which the output light exhibits sub-Poissonian photon statistics or squeezing were compared with exact numerical results, and good agreement was obtained. On the other hand, it was shown that Bernouilli states exhibit higher-order squeezing for some parameter ranges. The degree of higher-order squeezing decreases, and its duration becomes shorter, as the phase of the Bernouilli state increases.
The necessary and sufficient conditions on the gain of the linear amplifier are determined under which the light output exhibits sub-Poissonian photon statistics or squeezing. It is found that for these effects the intensity gain must not exceed 2 under any circumstances. It is also shown that there exists a weaker sufficiency condition on the gain above which all nonclassical features of the field disappear. This suggests the possibility that other quantum effects may persist in the intermediate, still unexplored, domain of operation of the amplifier.
We study the photon statistics at the output of phase-sensitive amplifiers and absorbers. It is argued that the photon statistics is independent of a detailed description of the rigged energy reservoir; therefore, we use a simple phenomenological model including only three parameters. The mean number of photons and the Mandel parameter Q at the output are studied as a function of the reservoir state and the input state. General conditions for sub-Poissonian output light are stated with use of three characteristic moments of the input state. We find an interesting intermediate regime where the device can have a sub-Poissonian output for a certain class of super-Poissonian input states.
A systematic study of squeezing obtained from k-photon anharmonic oscillator (with interaction hamiltonian of the form (a†)kak, k ≥ 2) interacting with light whose statistics can be varied from sub-Poissonian to poissonian via binomial state of field and super-Poissonian to poissonian via negative binomial state of field is presented. We predict that for all values of k there is a tendency increase in squeezing with increased sub-Poissonian character of the field while the reverse is true with super-Poissonian field. We also present non-classical behavior of the first order coherence function explicitly for k = 2 case (i.e., for two-photon anharmonic oscillator model used for a Kerr-like medium) with variation in the statistics of the input light.
We study the statistical properties of squeezed Kerr states generated by squeezing, with a two-photon parametric process, the output of a Kerr medium whose input is coherent light. The squeezing has the effect of allowing the photon statistics to depend on the Kerr nonlinearity. Without the squeezing the statistics are Poissonian, but after squeezing they may be either sub-Poissonian or super-Poissonian. We also study the Q-function quasiprobability distribution for these states and related distributions associated with the quantum-mechanical phase. Finally, we show that quadrature squeezing can be enhanced and that squeezing and sub-Poissonian statistics can coexist.