Spiral attractor created by vector solitons

SV Sergeyev, C Mou, EG Turitsyna, A Rozhin… - Light: Science & …, 2014 - nature.com
Mode-locked lasers emitting a train of femtosecond pulses called dissipative solitons are an
enabling technology for metrology, high-resolution spectroscopy, fibre optic …

Formation and propagation of coupled ultraslow optical soliton pairs in a cold three-state double- system

G Huang, K Jiang, MG Payne, L Deng - Physical Review E—Statistical …, 2006 - APS
We investigate the simultaneous formation and propagation of coupled ultraslow optical
soliton pairs in a cold, lifetime-broadened three-state double-Λ atomic system. Starting from …

On Maxwell-Bloch systems with inhomogeneous broadening and one-sided nonzero background

A Abeya, G Biondini, G Kovačič, B Prinari - … in Mathematical Physics, 2024 - Springer
The inverse scattering transform is developed to solve the Maxwell-Bloch system of
equations that describes two-level systems with inhomogeneous broadening, in the case of …

On the Maxwell‐Bloch system in the sharp‐line limit without solitons

S Li, PD Miller - Communications on Pure and Applied …, 2024 - Wiley Online Library
We study the (characteristic) Cauchy problem for the Maxwell‐Bloch equations of light‐
matter interaction via asymptotics, under assumptions that prevent the generation of solitons …

Inverse scattering transform for 3-level coupled Maxwell–Bloch equations with inhomogeneous broadening

S Chakravarty, B Prinari, MJ Ablowitz - Physica D: Nonlinear Phenomena, 2014 - Elsevier
In this paper we study the propagation of optical pulses in an optical medium with coherent
three-level atomic transitions. The interaction between the pulses and the medium is …

[HTML][HTML] Inverse scattering transform for two-level systems with nonzero background

G Biondini, I Gabitov, G Kovačič, S Li - Journal of Mathematical Physics, 2019 - pubs.aip.org
We formulate the inverse scattering transform for the scalar Maxwell-Bloch system of
equations describing the resonant interaction of light and active optical media in the case …

Vector-soliton storage and three-pulse-area theorem

R Gutiérrez-Cuevas, JH Eberly - Physical Review A, 2016 - APS
In the present work, we present a high-speed method to control, manipulate, and retrieve an
intense vector soliton stored in the ground-state coherences of a four-level atomic system …

On the coupled Maxwell-Bloch system of equations with non-decaying fields at infinity

S Li, G Biondini, G Kovacic - arXiv preprint arXiv:2405.10117, 2024 - arxiv.org
We study an initial-boundary-value problem (IBVP) for a system of coupled Maxwell-Bloch
equations (CMBE) that model two colors or polarizations of light resonantly interacting with a …

Theory of slow-light solitons

AV Rybin, IP Vadeiko, AR Bishop - … Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
In the framework of the nonlinear Λ model we investigate propagation of solitons in atomic
vapors and Bose-Einstein condensates. We show how the complicated nonlinear interplay …

Soliton propagations in the electromagnetically induced transparency

M Wadati - The European Physical Journal Special Topics, 2009 - Springer
One-dimensional pulse propagations in the electromagnetically induced media are
investigated. The Maxwell-Bloch equations for a three-level medium are simplified with the …