Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Nonlinear Optics

Form-stable pulse propagation in 3-level media: adiabatons and matched pulses

Michael Fleischhauer

Published Jan 1, 1996• 0 citations
Publisher

Abstract

The resonant interaction of pulse-pairs with multi-level atoms has attracted some attention in recent time because of the possibility of a quasi-loss-free propagation in otherwize optically thick media. The pulse-pair propagation in Λ-type atoms as shown in Figs. 1 is here discussed in terms of the adiabatic coupled and decoupled superpositions of the lower levels.

DOI
10.1364/nlo.1996.nfb.1

Related papers

Propagation of laser pulses and coherent population transfer in dissipative three-level systems: An adiabatic dressed-state picture

Michael Fleischhauer, Aaron S. Manka

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.

Physical Review A•Jul 1, 1996•134 citations

Coupled Optical Solitons for Pulse Propagation in Multi-Level Media

Guoxiang Huang, Jacob Szeftel

We investigate the shape-preserving propagation of N optical pulses in an ( N +1)-level medium. We solve Maxwell-Schrödinger equations exactly and provide several types of explicit coupled soliton solutions, which are temporally amplitude- and group-velocity-matched multi-mode slow-optical pulses of the system.

Chinese Physics Letters•Mar 30, 2006•0 citations

Pulse Areas in Multi-Soliton Propagation

Elizabeth Groves, B. D. Clader, Joseph H. Eberly

The prospect of self-consistent propagation of more than two pulses contemporaneously through multi-resonant media raises open questions: whether soliton solutions exist, and whether a useful generalization of two-level pulse Area can be found. We answer these questions positively for the case of four pulses interacting in combined V and Lambda fashion with an idealized pair of atomic D-lines.

arXiv:0811.1975•Nov 12, 2008•1 citation

Coherent propagation of two-photon quasi-resonant pulses in a medium of multi-level atoms

Farhad H. M. Faisal

Coherent propagation of a circularly polarized pulse which is two-photon quasi-resonant with a medium of multi-level atoms is considered in the adiabatic following limit. The relevant pair of non-linear coupled partial differential equations are solved exactly for arbitrary pulse shapes. The development of the envelope and the phase of the pulse as it propagates through the medium is described analytically. Perturbation theoretical results are shown to apply only for small intensity or small distance of propagation or both. Qualitatively different results apply for higher intensities and longer distances of propagation. These include strong self-phase-modulation effects as well as reshaping of the pulse envelope.

Journal of Physics B Atomic and Molecular Physics•Jul 11, 1977•3 citations

Pulse propagation in a medium of Λ -type atoms

P. R. Berman, C. H. Raymond Ooi

The propagation of a weak-field pulse through a medium of three-level atoms is considered. Each atom has a $\ensuremath{\Lambda}$-type level scheme in which the two lower levels are stable. A strong control field drives one of the electronic transitions while the signal field drives the coupled transition under conditions where EIT (electromagnetically induced transparency) is usually operative. The input pulse is slowed and compressed as it enters the medium, adiabatically following the EIT solution. However, if the control field is changed suddenly when the pulse is in the medium, the signal field is transformed into two pulses, one of which propagates as a normal EIT pulse and the other with a different speed and an amplitude that oscillates in time. The temporal oscillations are transformed into both spatial and temporal oscillations as the pulse exits the medium. An analytic expression is derived for the pulse intensity which provides a good approximation to the exact result at all times. It is shown that the oscillating component of the exiting pulse can be spatially compressed in comparison with the input pulse.

Physical Review A•Nov 12, 2012•7 citations

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

Elena Cerboneschi, E. Arimondo

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.

Physical Review A•Dec 1, 1996•36 citations
The resonant interaction of pulse-pairs with multi-level atoms has attracted some attention in recent time because of the possibility of a quasi-loss-free propagation in otherwize optically thick media. The pulse-pair propagation in Λ-type atoms as shown in Figs. 1 is here discussed in terms of the adiabatic coupled and decoupled superpositions of the lower levels.
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.
Coherent propagation of a circularly polarized pulse which is two-photon quasi-resonant with a medium of multi-level atoms is considered in the adiabatic following limit. The relevant pair of non-linear coupled partial differential equations are solved exactly for arbitrary pulse shapes. The development of the envelope and the phase of the pulse as it propagates through the medium is described analytically. Perturbation theoretical results are shown to apply only for small intensity or small distance of propagation or both. Qualitatively different results apply for higher intensities and longer distances of propagation. These include strong self-phase-modulation effects as well as reshaping of the pulse envelope.
The propagation of a weak-field pulse through a medium of three-level atoms is considered. Each atom has a $\ensuremath{\Lambda}$-type level scheme in which the two lower levels are stable. A strong control field drives one of the electronic transitions while the signal field drives the coupled transition under conditions where EIT (electromagnetically induced transparency) is usually operative. The input pulse is slowed and compressed as it enters the medium, adiabatically following the EIT solution. However, if the control field is changed suddenly when the pulse is in the medium, the signal field is transformed into two pulses, one of which propagates as a normal EIT pulse and the other with a different speed and an amplitude that oscillates in time. The temporal oscillations are transformed into both spatial and temporal oscillations as the pulse exits the medium. An analytic expression is derived for the pulse intensity which provides a good approximation to the exact result at all times. It is shown that the oscillating component of the exiting pulse can be spatially compressed in comparison with the input pulse.
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.