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Physical Review A

Accelerated guided atomic pulse

Sigurd Dyrting, Weiping Zhang, Barry C. Sanders

Published Sep 1, 1997• 6 citations
Publisher

Abstract

The deleterious effects of dispersion on a propagating coherent atomic pulse, along the axis of a traveling-wave laser beam, can be ameliorated by the nonlinear self-interacting force due to dipole-dipole coupling between atoms. We show that a wide atomic pulse with a particular profile can retain its shape during propagation and, moreover, the momentum of the pulse increases due to photon absorption. For the wide soliton case, we demonstrate analytically that the self-interacting atomic force scales inversely with the third power of the pulse width.

DOI
10.1103/physreva.56.2051

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Abstract We demonstrate the existence and curious propagation dynamics of self-accelerating beams in Λ-type three-level nonlinear atomic vapors with Kerr and cubic-quintic nonlinearities through numerical investigation and mathematical modelling. Upon adjusting the generation and propagation conditions, these nonlinear accelerating beams exhibit different evolution properties. We demonstrate that the input beams can propagate robustly in the medium regardless of its absorption properties. The shape and peak intensity of the main lobes of these input beams, which are the eigenmodes of the nonlinear Schrödinger equation (NLSE) in atomic media, are preserved for a significantly long propagation distance. If such beams are not the modes of the system, they are subjected to the under-healing or over-healing effect, which damages the shape of the self-accelerating beams. We also discuss the interactions between truncated accelerating beams, which readily generate non-accelerating solitons and soliton pairs. The results indicate that the atomic vapor can serve as a promising medium for the generation of nonlinear self-accelerating beams.

•Nov 30, 2020•0 citations
The deleterious effects of dispersion on a propagating coherent atomic pulse, along the axis of a traveling-wave laser beam, can be ameliorated by the nonlinear self-interacting force due to dipole-dipole coupling between atoms. We show that a wide atomic pulse with a particular profile can retain its shape during propagation and, moreover, the momentum of the pulse increases due to photon absorption. For the wide soliton case, we demonstrate analytically that the self-interacting atomic force scales inversely with the third power of the pulse width.
An ultracold wave packet of bosonic atoms loaded into a travelling laser wave may form a many-atom soliton. This is disturbed by a homogeneous force field, for example by the inevitable gravitation. The wave packet is accelerated and therefore the laser frequency appears to be chirped in the rest frame of the atoms. We derive the effective nonlinear Schrödinger equation. It shows a time-dependent nonlinearity coefficient which amounts to a damping or antidamping, respectively. The accelerated packet solution remains a soliton which changes its shape adiabatically. Similarly, an active shaping can be obtained in the force-free case by chirping the laser frequency thus representing a way of coherent control of the soliton form. The experimental consequences are discussed.
For pt.I see ibid., vol.10, p.425 (1977). The effect of spatial dispersion or exciton formation on the steady propagation of a coherent light pulse in a dielectric medium is studied. The optical Bloch equation for a lattice of atomic dipoles coupled to one another by an exchange-type interaction is solved simultaneously with the Maxwell equation by the method of power-series expansion developed in the preceding paper. Two kinds of pulse solutions are obtained in general: one propagating by the medium of the radiation field and the other by excitation transfer between atomic dipoles. The former solution is SIT-like in the short pulse limit, but a polariton-soliton or a standing wave of non-linear polariton if the pulse width is long. The latter is an exciton-soliton containing little photon component. When the pulse width is extremely long, there appears a polariton-soliton of a new type in which the two propagation mechanisms are mixed. It is found that the spatial dispersion prevents the polariton-soliton solutions from existing in a certain frequency range. This effect is explained on the basis of the functional behavior of the dispersion relation of the non-linear polariton.
Abstract We demonstrate the existence and curious propagation dynamics of self-accelerating beams in Λ-type three-level nonlinear atomic vapors with Kerr and cubic-quintic nonlinearities through numerical investigation and mathematical modelling. Upon adjusting the generation and propagation conditions, these nonlinear accelerating beams exhibit different evolution properties. We demonstrate that the input beams can propagate robustly in the medium regardless of its absorption properties. The shape and peak intensity of the main lobes of these input beams, which are the eigenmodes of the nonlinear Schrödinger equation (NLSE) in atomic media, are preserved for a significantly long propagation distance. If such beams are not the modes of the system, they are subjected to the under-healing or over-healing effect, which damages the shape of the self-accelerating beams. We also discuss the interactions between truncated accelerating beams, which readily generate non-accelerating solitons and soliton pairs. The results indicate that the atomic vapor can serve as a promising medium for the generation of nonlinear self-accelerating beams.