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

Squeezing of the squared field amplitude by an anharmonic oscillator

Christopher C. Gerry, Edward R. Vrscay

Published Mar 1, 1988• 40 citations
Publisher

Abstract

Hillery [Opt. Commun. 62, 135 (1987)] has recently shown that the squeezing of the square of the field amplitude is a nonclassical effect. In this paper we show that the interaction of coherent light with a nonlinear medium modeled as a nonabsorbing anharmonic oscillator gives rise to this type of squeezing. We also show that this squeezing can be interpreted in terms of the Lie algebra of SU(1,1).

DOI
10.1103/physreva.37.1779

Related papers

Application of SU(1,1) coherent states to the interaction of squeezed light in an anharmonic oscillator

Christopher C. Gerry

We consider the solvable model of nonabsorbing nonlinear medium modeled as an anharmonic oscillator interacting with squeezed light described as an SU(1,1) coherent state. We find that the squeezing is eventually revoked and furthermore that the greater the initial state is squeezed, the more rapidly the squeezing is revoked.

Physical Review A•Mar 1, 1987•114 citations

Time evolution of an anharmonic oscillator in an initial Holstein-Primakoff SU(1,1) coherent state

Vladimír Bužek

We have studied the interaction of the squeezed light with the nonabsorbing nonlinear medium in the framework of the model of an anharmonic oscillator initially in a Holstein-Primakoff SU(1,1) coherent state. We have shown that the initial squeezing reappears periodically. Furthermore, due to the interaction with the nonlinear medium, the squeezing can be enhanced.

Physical Review A•May 1, 1989•15 citations

Amplitudekth-power squeezing ofk-photon coherent states

V. Buek, Igor Jex

We have defined a new nonclassical effect: amplitude kth-power squeezing. We have analyzed the squeezing properties of the k-photon coherent states as defined by D'Ariano, Rasetti, and Vadacchio [Phys. Rev. D 32, 1034 (1985)]; Katriel et al. [Phys. Rev. D 34, 332 (1986)]; and D'Ariano and Sterpi [Phys. Rev. A 39, 1810 (1989)]. It has been shown that, due to the interaction with the nonlinear nonabsorbing medium modeled as an anharmonic oscillator, these states become amplitude kth power squeezed.

Physical Review A•Apr 1, 1990•21 citations

Higher-order squeezing from an anharmonic oscillator

Christopher C. Gerry, Stanley Rodrigues

We show that ordinary coherent light, interacting with a nonabsorbing nonlinear medium modeled as an anharmonic oscillator, is highly squeezed, at least up to the sixth order.Received 6 November 1986DOI:https://doi.org/10.1103/PhysRevA.35.4440©1987 American Physical Society

Physical Review A•May 1, 1987•51 citations

Squeezing of the Square of the Field Amplitude in thek-photon Anharmonic Oscillator

Xiaoping Yang, Xiping Zheng

The generation of squeezing of the square of the field amplitude (SSFA) in a system of coherent light interacting with the k-photon anharmonic oscillator is shown.

Journal of Modern Optics•May 1, 1989•15 citations

A SCALING LAW FOR AMPLITUDE-SQUARED SQUEEZING IN KERR EFFECT

Hari Prakash, Pankaj Kumar

We study amplitude-squared squeezing in interaction of coherent light with a nonlinear Kerr medium modelled as an anharmonic oscillator with interaction Hamiltonian H = ½ λ a +2 a 2, where λ is proportional to χ(3) of the nonlinear medium and a is annihilation operator for the interacting field. We find the squeezing parameter S ( τ, r ) in terms of a dimensionless interaction time τ = λ t and Kerr parameter r , which is product of, τ and the average number of photons and obtain almost complete amplitude-squared squeezing (i.e., S ≈ 0) for very small interaction time and very large intensity of the interacting light. We optimize squeezing parameter S ( τ, r ) by an analytic estimation assuming high intensity of the interacting light and realistic values of Kerr nonlinearity following J.Bajer et al. [Czech. J. Phy. 52, 1313 (2002)] and obtain a scaling law for optimal amplitude-squared squeezing with minimum value S min , at r = r min for a given τ. The validity of the scaling law is checked numerically and analytically in the region of realistic values of Kerr nonlinearity and intensity of the interacting light.

International Journal of Modern Physics B•May 20, 2006•7 citations
Hillery [Opt. Commun. 62, 135 (1987)] has recently shown that the squeezing of the square of the field amplitude is a nonclassical effect. In this paper we show that the interaction of coherent light with a nonlinear medium modeled as a nonabsorbing anharmonic oscillator gives rise to this type of squeezing. We also show that this squeezing can be interpreted in terms of the Lie algebra of SU(1,1).
We have defined a new nonclassical effect: amplitude kth-power squeezing. We have analyzed the squeezing properties of the k-photon coherent states as defined by D'Ariano, Rasetti, and Vadacchio [Phys. Rev. D 32, 1034 (1985)]; Katriel et al. [Phys. Rev. D 34, 332 (1986)]; and D'Ariano and Sterpi [Phys. Rev. A 39, 1810 (1989)]. It has been shown that, due to the interaction with the nonlinear nonabsorbing medium modeled as an anharmonic oscillator, these states become amplitude kth power squeezed.
We study amplitude-squared squeezing in interaction of coherent light with a nonlinear Kerr medium modelled as an anharmonic oscillator with interaction Hamiltonian H = ½ λ a +2 a 2, where λ is proportional to χ(3) of the nonlinear medium and a is annihilation operator for the interacting field. We find the squeezing parameter S ( τ, r ) in terms of a dimensionless interaction time τ = λ t and Kerr parameter r , which is product of, τ and the average number of photons and obtain almost complete amplitude-squared squeezing (i.e., S ≈ 0) for very small interaction time and very large intensity of the interacting light. We optimize squeezing parameter S ( τ, r ) by an analytic estimation assuming high intensity of the interacting light and realistic values of Kerr nonlinearity following J.Bajer et al. [Czech. J. Phy. 52, 1313 (2002)] and obtain a scaling law for optimal amplitude-squared squeezing with minimum value S min , at r = r min for a given τ. The validity of the scaling law is checked numerically and analytically in the region of realistic values of Kerr nonlinearity and intensity of the interacting light.