Exact theory of the four-wave-mixing process in a nondissipative medium with a large rate of conversion: Weak-field case

Kryzhanovsky, Boris; Glushko, B.

doi:10.1103/physreva.45.4979

Cited by 20 publications

(9 citation statements)

References 19 publications

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“…However, when the number of interacting fields is high and the atomic system consists of several energy levels, this procedure can be quite cumbersome. A simpler way to drive the field equations is given by a Hamiltonian approach [54]. According to it, the polarization of the medium can be expressed as the partial derivative of the averaged free-energy density of the atomic medium with respect to the electric field amplitude, i.e.…”

Section: Pulse Light Propagation In the F-deformed Becmentioning

confidence: 99%

Performance Enhancement of Organic Thin-Film Transistors Using Bathophenanthroline:Cs Electron Injection Layer

Kim¹,

Kim²,

Son³

et al. 2010

Jpn. J. Appl. Phys.

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In this paper, we investigate the propagation of a weak optical probe pulse in an f-deformed Bose-Einstein condensate of a gas with the -type three-level atoms in the electromagnetically induced transparency regime. We use an f-deformed generalization of an effective two-level quantum model of the three-level configuration in which Gardiner's phonon operators for Bose-Einstein condensates are deformed by an operator-valued function, f (n), of the particle-number operatorn. By making use of the quantum approach of the angular momentum theory, we obtain the eigenvalues and eigenfunctions of the system up to a first-order approximation. We consider the collisions between the atoms as a special kind of f-deformation. The collision rate κ is regarded as the deformation parameter and light propagation in the deformed Bose-Einstein condensate is analysed. In particular, we show that the absorptive and dispersive properties of the deformed condensate can be controlled effectively by changing the deformation parameter κ and the total number of atoms. We find that by increasing the value of κ the group velocity of the probe pulse changes, through deformed condensate, from subluminal to superluminal.

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Section: Pulse Light Propagation In the F-deformed Becmentioning

confidence: 99%

Performance Enhancement of Organic Thin-Film Transistors Using Bathophenanthroline:Cs Electron Injection Layer

Kim¹,

Kim²,

Son³

et al. 2010

Jpn. J. Appl. Phys.

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show abstract

“…In order to get the susceptibility of the medium, we need to calculate the polarization of the atomic medium. To this end, we can make use of Hamiltonian approach [39]. According to this approach, the polarization of the medium can be expressed as the partial derivative of the averaged free energy density of the atomic medium with respect to the electric field amplitude…”

Section: Controlling Group Velocity In An F-deformed Becmentioning

confidence: 99%

“…where is the linear susceptibility and represents the k th-order nonlinear susceptibility.Using Eqs. (38) and (39) we obtain first, third and fifth order nonlinear susceptibilities of the BEC in the following form, (the higher order susceptibilities of the medium are zero).…”

Section: Controlling Group Velocity In An F-deformed Becmentioning

confidence: 99%

Controlling subluminal to superluminal behavior of group velocity in an f-deformed Bose–Einstein condensate beyond the rotating wave approximation

Haghshenasfard

Naderi

Soltanolkotabi

2009

Optics Communications

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In this paper, we investigate tunable control of the group velocity of a weak probe field propagating through an f-deformed Bose-Einstein condensate of Λ -type three-level atoms beyond the rotating wave approximation. For this purpose, we use an fdeformed generalization of an effective two-level quantum model of the three-level -configuration without the rotating wave approximation in which the Gardiner's phonon operators for Bose-Einstein condensate are deformed by an operator-valued function,, of the particle-number operator . Corrections produced by the counter-rotating terms appear in the first order as an intensitydependent detuning and in the second order as an intensitydependent atom-field coupling. We consider the collisions between the atoms as a special kind of f-deformation where the collision rate Λ ) (n f n η , the group velocity of the probe pulse changes, from subluminal to superluminal and (iii) beyond the rotating wave approximation, the subluminal and superluminal behaviors of the probe field are enhanced.

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“…In this paper, we investigate the fully quantummechanical description of [17] adopting a completely Hamiltonian approach [19]. To the best of our knowledge, this method has never been used in this context.…”

Section: Introductionmentioning

confidence: 99%

Generation of entangled coherent states via cross-phase-modulation in a double electromagnetically induced transparency regime

Paternostro

Kim

Ham³

2003

Phys. Rev. A

177

122

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The generation of an entangled coherent state is one of the most important ingredients of quantum information processing using coherent states. Recently, numerous schemes to achieve this task have been proposed. In order to generate travelling-wave entangled coherent states, cross phase modulation, optimized by optical Kerr effect enhancement in a dense medium in an electromagnetically induced transparency (EIT) regime, seems to be very promising. In this scenario, we propose a fully quantized model of a double-EIT scheme recently proposed [D. Petrosyan and G. Kurizki, Phys. Rev. A 65, 33833 (2002)]: the quantization step is performed adopting a fully Hamiltonian approach. This allows us to write effective equations of motion for two interacting quantum fields of light that show how the dynamics of one field depends on the photon-number operator of the other. The preparation of a Schrödinger cat state, which is a superposition of two distinct coherent states, is briefly exposed. This is based on non-linear interaction via double-EIT of two light fields (initially prepared in coherent states) and on a detection step performed using a 50 : 50 beam splitter and two photodetectors. In order to show the entanglement of an entangled coherent state, we suggest to measure the joint quadrature variance of the field. We show that the entangled coherent states satisfy the sufficient condition for entanglement based on quadrature variance measurement. We also show how robust our scheme is against a low detection efficiency of homodyne detectors.

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Exact theory of the four-wave-mixing process in a nondissipative medium with a large rate of conversion: Weak-field case

Cited by 20 publications

References 19 publications

Performance Enhancement of Organic Thin-Film Transistors Using Bathophenanthroline:Cs Electron Injection Layer

Performance Enhancement of Organic Thin-Film Transistors Using Bathophenanthroline:Cs Electron Injection Layer

Controlling subluminal to superluminal behavior of group velocity in an f-deformed Bose–Einstein condensate beyond the rotating wave approximation

Generation of entangled coherent states via cross-phase-modulation in a double electromagnetically induced transparency regime

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