A semi-classical approach to two-frequency solitons in a three-level cascade atomic system (original) (raw)
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Journal of Optics A: Pure and Applied …, 2003
The motion of a pair of solitons propagating through an absorbing three-level system in the lambda configuration is analysed. In the course of this analytic analysis, the existence condition for solitary wave pairs is derived. This condition allows for two possible velocities of the soliton pair.
SOLITON PROPAGATION IN THREE-LEVEL ATOMIC SYSTEM UNDER DETUNED EXCITATION
2007
We analyze the propagation of soliton pulses in an absorbing non-linear three-level medium in lambda configuration. One of the two atomic transitions is excited by a strong CW control laser light, whereas the other atomic transition is pumped by a weak variable light field. We take into consideration the effects of detunings between the laser sources and the two atomic transitions. Assuming two-photon resonance, we present an analytical expression of soliton shape. The soliton propagation velocity is influenced by three parameters: the amplitude of the stationary control field, the maximum amplitude of the soliton and by the detuning. Especially, we show that for a given value of the detuning, the soliton can be stopped.
Soliton propagation in an absorbing three-level atomic system
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We present analytic results of soliton shapes propagating in an absorbing three-level atomic system in the lambda configuration which is excited by a CW field at the Stokes transition. We find analytic relations for the control of the propagation velocity which can be influenced by the pulse width and by the intensity and polarization of the CW field. 0 1 2 Stokes transition Pump transition γ 1 γ 2
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Sofiane Grira, and Hichem Eleuch, 2019
The aim of this work is to study the soliton-pair propagation in an optical dense three-level atomic media where the dissipation of the atomic system is considered for unbalanced coupling between the allowed atomic transitions and the two classical pump fields. Analytical solutions of the solitary wave-pair are derived as well as the existence conditions for such wave-pair propagation is highlighted. The allowed soliton-pair velocities are determined.
Properties of Optical Soliton in a Three Level Medium with Quintic Nonlinearity
Propagation characteristics of optical soliton in a three level atomic medium are analyzed by treating the material medium quantum mechanically, but the electromagnetic wave classically. Both the cubic and quintic components of the nonlinear polarization of the electromagnetic field are considered along with those generated due to the dipole formation of the material. A numerical simulation is carried out with the help of split-step technique. It is observed that the power of the pulse, distance of propagation and degree of dispersion are intimately related. The role of polarization due to the material is duely compensated by keeping higher order dispersive terms. In this connection we have seen that keeping the higher order dispersive terms, up to the eighth order, which is actually the phenomenon of continuum generation, results in a better form of the pulse. In our paper, we have analyzed the effects in both the cases, that is, including and excluding the quintic terms and in each case we have considered the effects of second-order dispersion (β 2) as well as the higher order dispersion terms (8 2 j j β = ∑).
Gaussian-like and flat-top solitons of atoms with spatially modulated repulsive interactions
Journal of the Optical Society of America B, 2019
Solitons, nonlinear particle-like excitations with inalterable properties (amplitude, shape, and velocity) as they propagate, are omnipresent in many branches of science-and in physics in particular. Flat-top solitons are a novel type of bright solitons that have not been well explored in pure nonlinear media. Here, a model of nonlinear Kerr (cubic) media of ultracold atoms with spatially modulated repulsive interactions is proposed and shown to support a vast variety of stable flat-top matter-wave solitons, including one-dimensional (1D) flat-top fundamental and multipole solitons, two-dimensional (2D) flat-top fundamental and vortex solitons. We demonstrate that by varying the relevant physical parameters (nonlinearity coefficient and chemical potential) the ordinary bright (gaussian) solitons can transform into the novel flat-top solitons. The (in-)stability domains of the flat-top soliton families are checked by means of linear stability analysis and reconfirmed by direct numerical simulations. This model is generic in the contexts of nonlinear optics and Bose-Einstein condensates, which provide direct experimental access to observe the predicted solutions.
Thermal bath effect on soliton propagation in three-level atomic system
Synthetic Metals 159 (2009) 1239–1243
In a three-level media coupled to the thermal bath, an analytical expression of the soliton shapes have been derived. The velocity of these solitons depends mainly on the amplitude of the stationary control field, the coupling with the thermal bath and the detuning. Especially, we show that for a given value of the detuning, the soliton can be completely stopped.
2018
A treatment of a multi-photon -type three-level atom interacting with a single mode field in a cavity, taking explicitly the existence of forms of nonlinearities of both the field and the intensity-dependent atom-field coupling into account. Analytical expressions of the absorption spectrum is presented using the dressed states of the system. The characteristics of the absorption spectrum considering the field to be initially in a squeezed coherent state is exhibited. The effects of the photon multiplicities, mean number of photons, detuning and the nonlinearities on the spectrum are investigated.