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

arXiv:hep-th/9407172

Statistics of parametrically excited photon--added coherent states

V. V. Dodonov, Ya. A. Korennoy, Vladimir I. Man’ko, Y. A. Muukhin

Published Jul 26, 1994• 0 citations
arXivHTMLPDF

Abstract

Photon distribution function, means and dispersions are found explicitly for the nonclassical state of light which is created from the photon--added coherent state $\vert α,m \rangle$ due to a time--dependence of the frequency of the electromagnetic field oscillator. Generating function for factorial momenta is obtained. The Wigner function and Q--function are constructed explicitly for the excited photon--added coherent state of light. Influence of added photons on known oscillations of photon distribution function for squeezed light is demonstrated. oscillator are considered.

DOI
10.48550/arxiv.hep-th/9407172

Related papers

Parametric Excitation of Photon-added Coherent States

V. V. Dodonov, Marcelo A. Marchiolli, Ya. A. Korennoy +2 more

We study the evolution of the photon-added coherent state | α, m ⟩ (introduced by Agarwal and Tara [Phys. Rev. A43, 492 (1991)]) due to a time dependence of the frequency of the electromagnetic field oscillator in a cavity or a vibrational frequency of an ion inside an electromagnetic trap. We give explicit expressions for the photon distribution function, mean values and variances of the quadrature components and of the photon number, the Wigner and Q -functions, etc. We show that the parametric excitation leads to strong oscillations of the photon (phonon) distribution function and changes the subpoissonian photon statistics to the superpoissonian one. Besides, it enables to achieve a larger squeezing coefficient than in the usual squeezed states.

Physica Scripta•Nov 1, 1998•7 citations

Dynamical squeezing of photon-added coherent states

V. V. Dodonov, Marcelo A. Marchiolli, Ya. A. Korennoy +2 more

We study the dynamical squeezing of the photon-added coherent state (PACS) due to a time dependence of the frequency of the electromagnetic field oscillator in a cavity or a vibrational frequency of an ion inside an electromagnetic trap. Explicit expressions for the time dependence of various functions characterizing the quantum state, such as the photon distribution, the Wigner function, the mean values and variances of the quadrature components and of the photon number, show that the dynamically squeezed PACS possesses a larger squeezing coefficient than the usual squeezed states. The dynamical squeezing is accompanied by a change of the sub-Poissonian photon statistics to the super-Poissonian one.

Physical Review A•Nov 1, 1998•78 citations

A new type of photon-added squeezed coherent state and its statistical properties

周军, 范洪义, 宋军

We construct a new type of photon-added squeezed coherent state generated by repeatedly operating the bosonic creation operator on a new type of squeezed coherent state [Fan H Y and Xiao M 1996 Phys. Lett. A 220 81]. We find that its normalization factor is related to single-variable Hermite polynomials. Furthermore, we investigate its statistical properties, such as Mandel’s Q parameter, photon-number distribution, and Wigner function. The nonclassicality is displayed in terms of the intense oscillation of photon-number distribution and the negativity of the Wigner function.

中国物理B：英文版•Jan 1, 2012•0 citations

A new type of photon-added squeezed coherent state and its statistical properties

Jun Zhou, Hong-Yi Fan, Song Jun

We construct a new type of photon-added squeezed coherent state generated by repeatedly operating the bosonic creation operator on a new type of squeezed coherent state [Fan H Y and Xiao M 1996 Phys. Lett . A 220 81 ]. We find that its normalization factor is related to single-variable Hermite polynomials. Furthermore, we investigate its statistical properties, such as Mandel's Q parameter, photon-number distribution, and Wigner function. The nonclassicality is displayed in terms of the intense oscillation of photon-number distribution and the negativity of the Wigner function.

Chinese Physics B•Jul 1, 2012•4 citations

Non-classical properties of states generated by the excitations of even/odd coherent states of light

V. V. Dodonov, Ya. A. Korennoy, Vladimir I. Man’ko +1 more

Photon-added even and odd coherent states of light are introduced. The mathematical and physical properties of such states are studied. The behaviour of the squeezing coefficient and the Mandel parameter is investigated. The quasiprobability distributions and the distribution of the field quadrature are studied in detail. The cumulants and factorial moments of the photon distribution are calculated. Strong oscillations of the ratio of the cumulant to factorial moment are demonstrated.

Quantum and Semiclassical Optics Journal of the European Optical Society Part B•Jun 1, 1996•91 citations

Quantum statistics of broadband squeezed light

Reeta Vyas, Surendra Singh

Photon-emission sequences in nonclassical light beams generated by an optical parametric oscillator are studied. Exact photon-counting and waiting time distributions are derived by using a generating function technique based on the positive-P representation. This approach is used to present a simple physical picture of photon emissions from this nonclassical light source.

Optics Letters•Oct 15, 1989•26 citations
Photon distribution function, means and dispersions are found explicitly for the nonclassical state of light which is created from the photon--added coherent state ∣α,m⟩\vert α,m \rangle∣α,m⟩ due to a time--dependence of the frequency of the electromagnetic field oscillator. Generating function for factorial momenta is obtained. The Wigner function and Q--function are constructed explicitly for the excited photon--added coherent state of light. Influence of added photons on known oscillations of photon distribution function for squeezed light is demonstrated. oscillator are considered.
We study the evolution of the photon-added coherent state | α, m ⟩ (introduced by Agarwal and Tara [Phys. Rev. A43, 492 (1991)]) due to a time dependence of the frequency of the electromagnetic field oscillator in a cavity or a vibrational frequency of an ion inside an electromagnetic trap. We give explicit expressions for the photon distribution function, mean values and variances of the quadrature components and of the photon number, the Wigner and Q -functions, etc. We show that the parametric excitation leads to strong oscillations of the photon (phonon) distribution function and changes the subpoissonian photon statistics to the superpoissonian one. Besides, it enables to achieve a larger squeezing coefficient than in the usual squeezed states.
We study the dynamical squeezing of the photon-added coherent state (PACS) due to a time dependence of the frequency of the electromagnetic field oscillator in a cavity or a vibrational frequency of an ion inside an electromagnetic trap. Explicit expressions for the time dependence of various functions characterizing the quantum state, such as the photon distribution, the Wigner function, the mean values and variances of the quadrature components and of the photon number, show that the dynamically squeezed PACS possesses a larger squeezing coefficient than the usual squeezed states. The dynamical squeezing is accompanied by a change of the sub-Poissonian photon statistics to the super-Poissonian one.
We construct a new type of photon-added squeezed coherent state generated by repeatedly operating the bosonic creation operator on a new type of squeezed coherent state [Fan H Y and Xiao M 1996 Phys. Lett. A 220 81]. We find that its normalization factor is related to single-variable Hermite polynomials. Furthermore, we investigate its statistical properties, such as Mandel’s Q parameter, photon-number distribution, and Wigner function. The nonclassicality is displayed in terms of the intense oscillation of photon-number distribution and the negativity of the Wigner function.
We construct a new type of photon-added squeezed coherent state generated by repeatedly operating the bosonic creation operator on a new type of squeezed coherent state [Fan H Y and Xiao M 1996 Phys. Lett . A 220 81 ]. We find that its normalization factor is related to single-variable Hermite polynomials. Furthermore, we investigate its statistical properties, such as Mandel's Q parameter, photon-number distribution, and Wigner function. The nonclassicality is displayed in terms of the intense oscillation of photon-number distribution and the negativity of the Wigner function.