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Physical Review A

Propagation and amplitude correlation of pairs of intense pulses interacting with a double-Λ system

Elena Cerboneschi, E. Arimondo

Published Dec 1, 1996• 36 citations
Publisher

Abstract

The propagation of intense laser pulses through a four-level atomic system in a double-\ensuremath{\Lambda} scheme is examined. Under conditions of adiabatic perturbation of the atomic quantum state, paired pulses with arbitrary shapes establish a correlation between their amplitudes and reach a quasiform-stable regime of propagation. The amplitude correlation is a feature of pulse matching, while the propagation presents the same properties as the so-called adiabatons, predicted and observed in single-\ensuremath{\Lambda} systems. We show that in the double-\ensuremath{\Lambda} scheme the phenomena of pulse matching and adiabaton-type propagation are associated with two distinct propagation normal modes. \textcopyright{} 1996 The American Physical Society.

DOI
10.1103/physreva.54.5400

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The propagation of intense laser pulses through a four-level atomic system in a double-\ensuremath{\Lambda} scheme is examined. Under conditions of adiabatic perturbation of the atomic quantum state, paired pulses with arbitrary shapes establish a correlation between their amplitudes and reach a quasiform-stable regime of propagation. The amplitude correlation is a feature of pulse matching, while the propagation presents the same properties as the so-called adiabatons, predicted and observed in single-\ensuremath{\Lambda} systems. We show that in the double-\ensuremath{\Lambda} scheme the phenomena of pulse matching and adiabaton-type propagation are associated with two distinct propagation normal modes. \textcopyright{} 1996 The American Physical Society.
The interaction of a pair of copropagating pulses with three-level \ensuremath{\Lambda}-type atoms is discussed in terms of time-dependent coupled and decoupled superpositions \ensuremath{\Vert}\ifmmode\pm\else\textpm\fi{}〉 of the lower levels. Due to the explicit time dependence of these states there is a nonadiabatic coupling between the ``bright'' state \ensuremath{\Vert}+〉 and the ``dark'' state \ensuremath{\Vert}-〉 in addition to the strong coupling between \ensuremath{\Vert}+〉 and the upper level \ensuremath{\Vert}a〉 . We show that under quasiadiabatic conditions and in the presence of decay from the upper level this coupling can be treated perturbatively and the Maxwell-Bloch equations can be solved analytically. With the help of such a perturbation approach, coherent population transfer and formstable laser pulse propagation are studied. \textcopyright{} 1996 The American Physical Society.
We investigate the simultaneous formation and stable propagation of ultraslow optical soliton pairs in a lifetime broadened four-state atomic system under double-Lambda excitation with large one- and two-photon detunings. We show that detrimental probe field distortions due to strong dispersion effects under weak driving conditions can be well balanced by self- and cross-phase modulation effects, leading to a pair of temporal, group velocity, and amplitude matched ultraslow optical solitons of different frequencies.
Optical adiabatons are specific shape-invariant pulse pairs propagating at the reduced group velocity and without optical absorption in the medium. The purpose of this study is to analyze the possibility of adiabaton formation in multilevel atomic systems with the focus on M-type and double tripod (DT) systems having five energy levels and different interaction configurations. Findings show that the M-type atomic system is prone to intensity dependent group velocity and pulse front steepening which prevents the formation of long range optical adiabatons. In contrast, the DT atomic system is quite favorable for the formation of optical adiabatons exhibiting two different optical field configurations propagating with invariant shape.
We investigate the simultaneous formation and propagation of coupled ultraslow optical soliton pairs in a cold, lifetime-broadened three-state double-Lambda atomic system. Starting from the equations of motion of atomic response and two-mode probe-control electromagnetic fields, we derive coupled nonlinear Schrödinger equations that govern the nonlinear evolution of the envelopes of the probe fields in this four-wave mixing scheme by means of the standard method of multiple scales. We demonstrate that for weak probe fields and with suitable operation conditions, a pair of coupled optical solitons moving with remarkably slow propagating velocity can be established in such a highly resonant atomic medium. The key elements to such a shape preserving, well matched yet interacting soliton pair is the balance between dispersion effect and self- and cross-phase modulation effects of the system.
Optical adiabatons are specific shape-invariant pulse pairs propagating at the reduced group velocity and without optical absorption in the medium. The purpose of this study is to analyze and demonstrate adiabaton formation in many level atomic systems. Here we focus on the analysis of five level M-type and double tripod systems. It is found that M-type atomic systems are prone to intensity dependent group velocity and pulse front steepening which prevents the formation of long range optical adiabatons. In contrast, the double tripod atomic system is quite favorable for the formation of optical adiabatons leading to two different optical field configurations propagating with invariant shape.