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

Physical Review A

Higher-order nonclassical effects in a parametric oscillator

Reeta Vyas, Surendra Singh

Published Aug 8, 2000• 13 citations
Publisher

Abstract

Factorial moments for the light from a degenerate parametric oscillator mixed with a coherent local oscillator are calculated and shown to reveal novel nonclassical features of light. We have found novel regimes where the nonclassical character of the field is reflected not in the violations of inequalities based on the second-order moments but in those based on higher order moments. These violations can be observed in photoelectric measurements of light.

DOI
10.1103/physreva.62.033803

Related papers

Novel nonclassical effects in the homodyne detection of squeezed light

Arlis Dodson, Reeta Vyas

Nonclassical effects exhibited by the homodyned field when light from an optical parametric oscillator (OPO) is mixed with coherent light from a local oscillator are discussed. Calculations are carried out exactly without making the strong local oscillator approximation. It is found that, depending upon the local oscillator phase and the parameters characterizing the light from the OPO, the second order intensity correlation function of the superposed field violates various classical inequalities g(2)(0) ≥ 1, g(2)(0) ≥g(2)(τ), and |g(2)(0) –1| ≥ | g(2)(τ)–1|. Thus we can see sub-Poissonian or super-Poissonian statistics and bunching or antibunching. We express the fields at the beam splitter in terms of independent real Gaussian stochastic processes with coherent component. Using these properties of the dynamical field variables, we derive analytic expressions for quantities directly measurable in photon counting experiments. It is found that the waiting time distribution shows two extrema at nonzero times. The second order intensity correlation function is found to vanish at nonzero time in violation of a classical inequality.

Annual Meeting Optical Society of America•Jan 1, 1992•0 citations

Nonclassicality of light from a degenerate parametric oscillator

Arnab Mitra, Reeta Vyas, Surendra Singh

The nonclassical nature of light from a degenerate parametric oscillator is discussed in terms of criteria based on direct photon counting probabilities of light. These criteria do not rely on phase sensitive detection and reveal the nonclassical nature of the field where the conventional criteria based on moments of light intensity (like sub-Poissonian statistics or anti-bunching) fail. We also consider the effect of detector efficiency on the signature of nonclassicality and find that under certain circumstances inefficient detection can enhance nonclassical behavior.

Journal of Modern Optics•Apr 9, 2010•2 citations

Nonclassical effects in photon statistics of atomic optical bistability

Daniel B. Erenso, Ron Adams, Hua Deng +2 more

Homodyne statistics of light generated by an atomic system exhibiting optical bistability are analyzed. Using the dynamical equations of motion for a single atom in a coherently driven cavity in the good cavity limit, we show that the homodyne field can be described in terms of two independent real Gaussian stochastic processes and a coherent component. By making a Karhunen-Lo\`eve expansion of the field variables we derive the generating function for the photoelectron statistics. From this generating function photoelectron-counting distribution, factorial moments, and waiting-time distribution are obtained analytically. These quantities are directly measurable in photon-counting experiments. We show that the homodyne field exhibits many interesting nonclassical features including nonclassical effects in higher-order factorial moments.

Physical Review A•Sep 13, 2001•4 citations

Homodyne photon statistics of the subthreshold degenerate parametric oscillator

Arlis Dodson, Reeta Vyas

Homodyne statistics when the light from a degenerate parametric oscillator (DPO) is mixed with coherent light from a local oscillator are discussed. By using dynamical models of these beams we discuss the photon sequences underlying the superposed beam in terms of photoelectric pulse sequences recorded by a detector. The field produced by the parametric oscillator is expressed in terms of two independent real Gaussian random variables. Using this property of the field variables, we derive the generating function for the photoelectron statistics analytically. From this generating function, expressions for the photoelectron-counting distribution, factorial moments, and the waiting-time distribution are derived. These quantities are directly measurable in photon-counting experiments. The results reported here are applicable to arbitrary strengths of the signal and the local-oscillator fields. We also show that, depending on the relative strength and relative phase between coherent light from the local oscillator and squeezed light from the DPO, the superposed light beam may exhibit many interesting nonclassical features. These and other effects are described and curves are presented to illustrate the behavior.

Physical Review A•Apr 1, 1993•26 citations

Demonstrating higher-order nonclassical effects by photon-added classical states: realistic schemes

Juhui Lee, Jaewan Kim, Hyunchul Nha

Detecting nonclassical properties that do not allow classical interpretation of photoelectric counting events is one of the crucial themes in quantum optics. Observation of individual nonclassical effects for a single-mode field, however, has been so far practically confined to sub-Poissonian statistics and quadrature squeezing. We show that a photon-added classical (coherent or thermal) state exhibits generalized nonclassical features in all orders of creation and annihilation operators, thereby becoming a promising candidate for studying higher-order nonclassical effects. Our analysis demonstrates the robustness of these effects against nonideal experimental conditions.

arXiv:0902.0112•Journal of the Optical Society of America B•Jun 15, 2009•55 citations

Higher-order sub-Poissonian photon statistics in terms of factorial moments

Daniel B. Erenso, Reeta Vyas, Surendra Singh

We introduce the concept of higher-order super-Poissonian and sub-Poissonian statistics and show that higher-order sub-Poissonian statistics is a signature of a nonclassical field. Fields generated in intracavity second-harmonic generation and single-atom resonance fluorescence are shown to exhibit higher-order sub-Poissonian statistics.

Journal of the Optical Society of America B•Jun 1, 2002•37 citations
Factorial moments for the light from a degenerate parametric oscillator mixed with a coherent local oscillator are calculated and shown to reveal novel nonclassical features of light. We have found novel regimes where the nonclassical character of the field is reflected not in the violations of inequalities based on the second-order moments but in those based on higher order moments. These violations can be observed in photoelectric measurements of light.
Nonclassical effects exhibited by the homodyned field when light from an optical parametric oscillator (OPO) is mixed with coherent light from a local oscillator are discussed. Calculations are carried out exactly without making the strong local oscillator approximation. It is found that, depending upon the local oscillator phase and the parameters characterizing the light from the OPO, the second order intensity correlation function of the superposed field violates various classical inequalities g(2)(0) ≥ 1, g(2)(0) ≥g(2)(τ), and |g(2)(0) –1| ≥ | g(2)(τ)–1|. Thus we can see sub-Poissonian or super-Poissonian statistics and bunching or antibunching. We express the fields at the beam splitter in terms of independent real Gaussian stochastic processes with coherent component. Using these properties of the dynamical field variables, we derive analytic expressions for quantities directly measurable in photon counting experiments. It is found that the waiting time distribution shows two extrema at nonzero times. The second order intensity correlation function is found to vanish at nonzero time in violation of a classical inequality.
The nonclassical nature of light from a degenerate parametric oscillator is discussed in terms of criteria based on direct photon counting probabilities of light. These criteria do not rely on phase sensitive detection and reveal the nonclassical nature of the field where the conventional criteria based on moments of light intensity (like sub-Poissonian statistics or anti-bunching) fail. We also consider the effect of detector efficiency on the signature of nonclassicality and find that under certain circumstances inefficient detection can enhance nonclassical behavior.
Homodyne statistics of light generated by an atomic system exhibiting optical bistability are analyzed. Using the dynamical equations of motion for a single atom in a coherently driven cavity in the good cavity limit, we show that the homodyne field can be described in terms of two independent real Gaussian stochastic processes and a coherent component. By making a Karhunen-Lo\`eve expansion of the field variables we derive the generating function for the photoelectron statistics. From this generating function photoelectron-counting distribution, factorial moments, and waiting-time distribution are obtained analytically. These quantities are directly measurable in photon-counting experiments. We show that the homodyne field exhibits many interesting nonclassical features including nonclassical effects in higher-order factorial moments.
Homodyne statistics when the light from a degenerate parametric oscillator (DPO) is mixed with coherent light from a local oscillator are discussed. By using dynamical models of these beams we discuss the photon sequences underlying the superposed beam in terms of photoelectric pulse sequences recorded by a detector. The field produced by the parametric oscillator is expressed in terms of two independent real Gaussian random variables. Using this property of the field variables, we derive the generating function for the photoelectron statistics analytically. From this generating function, expressions for the photoelectron-counting distribution, factorial moments, and the waiting-time distribution are derived. These quantities are directly measurable in photon-counting experiments. The results reported here are applicable to arbitrary strengths of the signal and the local-oscillator fields. We also show that, depending on the relative strength and relative phase between coherent light from the local oscillator and squeezed light from the DPO, the superposed light beam may exhibit many interesting nonclassical features. These and other effects are described and curves are presented to illustrate the behavior.
Detecting nonclassical properties that do not allow classical interpretation of photoelectric counting events is one of the crucial themes in quantum optics. Observation of individual nonclassical effects for a single-mode field, however, has been so far practically confined to sub-Poissonian statistics and quadrature squeezing. We show that a photon-added classical (coherent or thermal) state exhibits generalized nonclassical features in all orders of creation and annihilation operators, thereby becoming a promising candidate for studying higher-order nonclassical effects. Our analysis demonstrates the robustness of these effects against nonideal experimental conditions.