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Physica Scripta

Linear Amplifier and the Coherent States Superpositions

G. M. Abd Al-Kader

Published May 1, 2001• 2 citations
Publisher

Abstract

The s -parameterized characteristic function (CF) is given for the output field from a linear amplifier with the superposition of CS's as input field. The s -parameterized quasi-probability distribution function (QDF) for the output field with superposition of CS's as input state is investigated. Various moments are calculated by using the s -parameterized CF for that field. The auto-correlation second-order coherence function is calculated and numerically investigated. The quadratures squeezing for the output field are discussed. Some QDF's of the output fields are plotted as functions of the interaction time. The phase properties of the superposition of CS's are studied and numerically investigated. The s -parameterized phase distribution obtained by integrating the s -parameterized QDF over the radial variable is illustrated.

DOI
10.1238/physica.regular.063a00372

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The s -parameterized characteristic function (CF) is given for the output field from a linear amplifier with the superposition of CS's as input field. The s -parameterized quasi-probability distribution function (QDF) for the output field with superposition of CS's as input state is investigated. Various moments are calculated by using the s -parameterized CF for that field. The auto-correlation second-order coherence function is calculated and numerically investigated. The quadratures squeezing for the output field are discussed. Some QDF's of the output fields are plotted as functions of the interaction time. The phase properties of the superposition of CS's are studied and numerically investigated. The s -parameterized phase distribution obtained by integrating the s -parameterized QDF over the radial variable is illustrated.
Much attention is given for the squeezed coherent states (SCS's) superposition. The s -parameterized charactristic function (CF) for the output field with the superposition of SCS's as input field is given. The s -parameterized quasiprobability distribution function (QDF) for the output field with superposition of SCS's as input state are investigated. Various moments are calculated by using the s -parameterized CF for that field. The Glauber second-order coherence function is calculated. The quadrature squeezing for the output field are discussed. Some QDF's of the output fields are plotted as functions of the interaction time. Phase properties of the superpostion of SCS's are studied. The s -parameterized phase distributions obtained by integrating the s -parameterized QDF over radial variable are illustrated.
The s-parametrized characteristic function for the output light is given. The s-ordered distribution functions for the output of a linear amplifier are investigated. The input light field of the linear amplifier is assumed to be a squeezed displaced Fock state. Various moments are calculated by using the s-ordered characteristic function for the output linear amplifier. The various distribution functions of the output fields are plotted as functions of the interaction time. The phase distribution for the output light is discussed.
The s-parameterized charactristic function for the superposition of squeezed coherent states (SCS's) is given. The s-parameterized distribution functions for the superposition of SCS's are investigated. Various moments are calculated by using this charactristic function. The Glauber second-order coherence function is calculated. The photon number distribution of the superposition of SCS's studied. Analytical and numerical results for the quadrature component distributions for the superposition of a pair of SCS's are presented. The phase distribution calculated from the integration of s-parameterized distribution function over the phase space. A generation scheme is discussed.
The s-parametrized characteristic function for the superposition of squeezed displaced Fock states (SDFSs) is given. The s-parametrized distribution functions for the superposition of SDFSs are investigated. Various moments are calculated by using this characteristic function. The Glauber second-order coherence function is calculated. The squeezing properties of the superposition of SDFSs are studied. Analytical and numerical results for the quadrature component distributions for the superposition of a pair of SDFSs are presented. A generation scheme is discussed.
The superposition of excited coherent states was constructed by superpositioning two excited coherent states of the same intensity and mutual phase conjugation,and their Wigner functions,second-order coherence degree and Mandel Q factors were calculated,upon which their non-classical properties were analyzed.The numerical results show that,the Wigner functions of the superposition of excited coherent states may become negative,and their second-order coherence degree and Mandel Q factors are both less than 1.Hence,the research shows that the quasi-probability distribution of the superposition of excited coherent states may become negative,and their light field has anti-bunching effects,with the distribution of photon number being of sub-Poisson distribution.Therefore,these superposition states are quantum states with non-classical properties.