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Generation of the reciprocal-binomial state for optical fields

Clodoaldo Valverde, Ardiley Torres Avelar, B. Baseia +1 more

Physics Letters AAug 1, 200325 citations

Quantum Properties of Odd Excited Negative Binomial States of the Radiation Field

H. H. Salah, Mahmoud Darwish, A.‐S. F. Obada

International Journal of Theoretical PhysicsMar 1, 20030 citations

Statistical properties of binomial and negative-binomial combinational optical field state and its generation in quantum diffusion channel

Fan Hong‐Yi, Ze Wu

According to the combinational binomial-negative-binomial distribution, we propose a binomial-negative-binomial combinational optical field state, which can be generated in the process of a Fock state |m>m| passing through a quantum-mechanical diffusion channel. We derive the second-order coherence degree formula, g(2)(t) =2-((m2+m)/(m+κt2)), which is the diffusion constant. We find that in the process of the Fock state undergoing quantum diffusion and becoming classical, the corresponding photon statistics evolves from sub-Poissonian distribution to Poisson distribution and finally goes to a chaotic state. We also find that the more photons in the initial Fock state, the longer time is needed for quantum decoherence.According to the combinational binomial-negative-binomial distribution, we propose a binomial-negative-binomial combinational optical field state, which can be generated in the process of a Fock state |m>m| passing through a quantum-mechanical diffusion channel. We derive the second-order coherence degree formula, g(2)(t) =2-((m2+m)/(m+κt2)), which is the diffusion constant. We find that in the process of the Fock state undergoing quantum diffusion and becoming classical, the corresponding photon statistics evolves from sub-Poissonian distribution to Poisson distribution and finally goes to a chaotic state. We also find that the more photons in the initial Fock state, the longer time is needed for quantum decoherence.

Acta Physica SinicaJan 1, 20153 citations

THE NEGATIVE BINOMIAL DISTRIBUTION IN QUANTUM PHYSICS

Jonas Söderholm, Shuichiro Inoue

Foundations of Quantum Mechanics in the Light of New TechnologyJun 1, 20090 citations

Statistical Properties and Algebraic Characteristics of Quantum Superpositions of Negative Binomial States

Xiaoguang Wang, Hong‐Chen Fu

We introduce new kinds of states of quantized radiation fields, which are the superpositions of negative binomial states. They exhibit remarkable nonclassical properties and reduce to Schrödinger cat states in a certain limit. The algebras involved in the even and odd negative binomial states turn out to be generally deformed oscillator algebras. It is found that the even and odd negative binomial states satisfy the same eigenvalue equation with the same eigenvalue and they can be viewed as two-photon nonlinear coherent states. Two methods of generating such the states are proposed.We introduce new kinds of states of quantized radiation fields, which are the superpositions of negative binomial states. They exhibit remarkable nonclassical properties and reduce to Schrödinger cat states in a certain limit. The algebras involved in the even and odd negative binomial states turn out to be generally deformed oscillator algebras. It is found that the even and odd negative binomial states satisfy the same eigenvalue equation with the same eigenvalue and they can be viewed as two-photon nonlinear coherent states. Two methods of generating such the states are proposed.

Communications in Theoretical PhysicsJun 15, 200110 citations

Statistical Properties and Algebraic Characteristics of Quantum Superpositions of Negative Binomial States

WANGXiao-Guang, FUHong-Chen

We introduce new kinds of states of quantized radiation fields, which are the superpositions of negative binomial states. They exhibit remarkable nonclassical properties and reduce to Schrodinger cat states in a certain limit.The algebras involved in the even and odd negative binomial states turn out to be generally deformed oscillator algebras.It is found that the even and odd negative binomial states satisfy the same eigenvalue equation with the same eigenvalue and they can be viewed as two-photon nonlinear coherent states. Two methods of generating such the states are proposed.``We introduce new kinds of states of quantized radiation fields, which are the superpositions of negative binomial states. They exhibit remarkable nonclassical properties and reduce to Schrodinger cat states in a certain limit.The algebras involved in the even and odd negative binomial states turn out to be generally deformed oscillator algebras.It is found that the even and odd negative binomial states satisfy the same eigenvalue equation with the same eigenvalue and they can be viewed as two-photon nonlinear coherent states. Two methods of generating such the states are proposed.``

理论物理通讯：英文版Jan 1, 20010 citations

A New Binomial–Negative-Binomial Combinatorial State in Quantum Optics Theory and Its Generation

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