Statistical properties of four-mode quantum states in coupled optical parametric down-conversions

In this paper, we study the quantum properties of the three-mode squeezed operator. This operator is constructed from the optical parametric oscillator based on the three concurrent χ (2) nonlinearities. We give a complete treatment for this operator including the symmetric and asymmetric nonlinearities cases. The action of the operator on the number and coherent states are studied in the framework of squeezing, second-order correlation function, CauchySchwartz inequality and single-mode quasiprobability function. The nonclassical effects are remarkable in all these quantities. We show that the nonclassical effects generated by the asymmetric case-for certain values of the system parameters-are greater than those of the symmetric one. This reflects the important role for the asymmetry in the system. Moreover, the system can generate different types of the Schrödinger-cat states.

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Quantum properties of the three-mode squeezed operator: Triply concurrent parametric amplifiers

El-Orany

Messikh

Mahmoud

et al. 2010

Optics Communications

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Joint probability distributions and entanglement in optical parametric processes

Peřina

Křepelka

2011

Optics Communications

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Quantum theory of coherence and nonlinear optics

Peřina¹

2009

JEOS:RP

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Statistical properties of four-mode quantum states in coupled optical parametric down-conversions

Cited by 3 publications

References 21 publications

Quantum properties of the three-mode squeezed operator: Triply concurrent parametric amplifiers

Quantum properties of the three-mode squeezed operator: Triply concurrent parametric amplifiers

Joint probability distributions and entanglement in optical parametric processes

Quantum theory of coherence and nonlinear optics

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