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On the photon antibunching and amplitude squared squeezing of coherent light coupled to a periodically driven anharmonic oscillator

Dolan Krishna Bayen, Swapan Mandal

Applied Physics BNov 12, 20212 citations

Squeezing of the squared field amplitude by an anharmonic oscillator

Christopher C. Gerry, Edward R. Vrscay

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).

Physical Review AMar 1, 198840 citations

Squeezing and bunching of photons of coherent light interacting with two quantum anharmonic oscillators coupled through the angular momentum

Dolan Krishna Bayen, Kartick Chandra Saha, Swapan Mandal

Optical and Quantum ElectronicsMar 29, 20240 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.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 AApr 1, 199021 citations

Squeezing of coherent light coupled to a periodically driven two-photon anharmonic oscillator

Dolan Krishna Bayen, Swapan Mandal

The European Physical Journal PlusMay 1, 20205 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.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 BMay 20, 20067 citations

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

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

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