Generation and some nonclassical properties of a nonlinear finite-dimensional pair coherent state

Khalil, E. M.

doi:10.1088/0305-4470/39/35/007

Cited by 18 publications

(16 citation statements)

References 62 publications

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“…For this reason it is convenient to use the phase distribution formalism introduced by Barnett and Pegg [24,25,28,[30][31][32][33][34][35]. It is well known that the phase operator is defined as the projection operator on a particular phase state multiplied by the corresponding value of the phase.…”

Section: Phase Propertiesmentioning

confidence: 99%

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Superposition of the Finite Dimensional Pair Coherent State and Some Nonclassical Properties

Khalil

2007

Int J Theor Phys

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In this communication we study a superposition of two finite dimensional pair coherent states. We show that such states possess inherent nonclassical properties such as sub-Poissonian distribution, anti-correlation between the two-mode and violation of Cauchy-Schwarz inequalities. The s-parameterized characteristic function (CF) is considered. Furthermore, the phase distribution in the framework of Pegg and Barnett formalism, W-function and Q-function are discussed. General conclusions reached are illustrated by numerical results.

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Section: Phase Propertiesmentioning

confidence: 99%

“…On the other hand, the finite dimensional PCS has been studied recently by [24,25] as the eigenstate of the pair operators (â †b + ζ q+1 (âb † ) q (q!) 2 ) and the sum of the photon number operators for the two modes (Q =n a +n b ).…”

Section: Introductionmentioning

confidence: 99%

Superposition of the Finite Dimensional Pair Coherent State and Some Nonclassical Properties

Khalil

2007

Int J Theor Phys

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“…Moreover, their some nonclassical properties have been investigated. The differences in phenomenon between two classes of finite-dimensional PCSs [23,24], the standard PCSs [22] and NLPCSs [25] have also been found. Nonlinear extensions of the single-mode squeezed vacuum and squeezed coherent states are constructed.…”

Section: Introductionmentioning

confidence: 77%

“…Practicaly, the measurement can be performed by photon detectors based on photoelectric effect [23,24]. Theoretically, the nonclassical behavior of the system can be done by examination of its second-order correlation function.…”

Section: Sub-poissonian Distributionsmentioning

confidence: 99%

“…Another scheme has been suggested for generating vibrational pair coherent states via the quantized motion of a trapped ion in a two-dimensional trap [22]. As an important extension of PCS in the finite dimensional Hilbert space, the finite dimensional PCS and the finite dimensional nonlinear PCS (NLPCS) have been introduced [23,24]. Also new schemes for generating two new classes of the finite dimensional two-mode states of the vibrational motion of an ion in a two-dimensional trap have been demonstrated.…”

Section: Introductionmentioning

confidence: 99%

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Nonclassical Properties of a Class of Nonlinear Pair Coherent State

Salah¹

2017

IOSR JAP

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Entangled Finite Dimensional Pair Coherent States and Their Applications

Obada

Khalil

2010

Int J Theor Phys

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Intermediate states of electromagnetic field are reviewed. It is a type of the correlated two-mode states (converter state). Based on the resonant ion-cavity interaction, we propose a scheme to generate these states revealing their connection with the converter state. The practical feasibility of this method is also discussed. We discuss nonclassicality of a finite dimensional pair coherent states in terms of sub-Poissonian photon statistics as well as the negativity of the Wigner function after deriving the analytic expression for the Wigner function. We explore a superposition of two finite dimensional pair coherent states. We show that such states possess inherent nonclassical properties such as sub-Poissonian distribution, anti-correlation between the two modes and violation of Cauchy-Schwarz inequalities. The s-parameterized characteristic function (CF) is considered. The phase distribution in the framework of Pegg and Barnett formalism, W -function and Q-function are discussed. Furthermore, a two-level atom in interaction with a two-mode quantized electromagnetic fields besides a frequency converter interaction initially prepared in an entangled two-mode coherent state is presented. Exact solution of the wave function in the Schrödinger picture is obtained. Some statistical aspects of this model are presented. The results are employed to perform a careful investigation of the temporal evolution of the atomic inversion, entropy squeezing and variance squeezing. General conclusions reached are illustrated by numerical results.

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Generation and some nonclassical properties of a nonlinear finite-dimensional pair coherent state

Cited by 18 publications

References 62 publications

Superposition of the Finite Dimensional Pair Coherent State and Some Nonclassical Properties

Superposition of the Finite Dimensional Pair Coherent State and Some Nonclassical Properties

Nonclassical Properties of a Class of Nonlinear Pair Coherent State

Entangled Finite Dimensional Pair Coherent States and Their Applications

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