Abstract
We present first ever analytical solutions for shape-preserving pulses in a Kerr nonlinear two-mode fiber doped with 3-level ? atoms. The two modes are near-resonant with the two transitions of the atomic system. We show the existence of quasi-stable coupled bright-dark pairs if the group velocity dispersion has opposite signs at the two mode frequencies. We demonstrate the remarkable possibility allowed by the fiber dispersion for the existence of a new class of solutions for unequal coupling constants for the two modes. We present the conditions for existence and the analytical form of these solutions in presence of atomic detuning. We confirm numerically the analytical solutions for the spatio-temporal evolution of coupled solitary waves.
Highlights
Coherent pulse propagation in atomic media has been one of the central issues of quantum optics since the pioneering work of McCall and Hahn [1, 2] on self induced transparency (SIT)
We have studied propagation of shape-preserving pulses in a two-mode fiber doped with Λ atoms
We have simulated the spatio-temporal evolution of pulses by means of a combined Runge-Kutta and split-step method
Summary
Coherent pulse propagation in atomic media has been one of the central issues of quantum optics since the pioneering work of McCall and Hahn [1, 2] on self induced transparency (SIT). Initial studies on SIT focused on shape preserving pulses (e.g., solitons) in resonant two-level systems [3, 4, 5]. In a somewhat different context, mainly for the demands of long-haul communication industry, solitons in Kerr nonlinear fibers were studied extensively [14]. The existence of these solitons in a non-resonant nonlinear system depends on a fine balance between nonlinearity and dispersion. Namely the group velocity dispersion (GVD), determines the stability aspects of the pulse pair, while their delay is governed mainly by the 3-level system.
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