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We analyze the storage and retrieval of intense-broadband pulses with the added effects of Doppler broadening and detuning in a $\Lambda$ configuration. We compute analytical solutions via the inverse scattering technique and show how the…

Quantum Physics · Physics 2016-10-27 Rodrigo Gutiérrez-Cuevas

The time-dependent Maxwell system describing electromagnetic wave propagation in inhomogeneous isotropic media in the one-dimensional case reduces to a Vekua-type equation for bicomplex-valued functions of a hyperbolic variable (see…

Analysis of PDEs · Mathematics 2016-05-23 Kira V. Khmelnytskaya , Vladislav V. Kravchenko , Sergii M. Torba

The ability to coherently spectrally manipulate quantum information has the potential to improve qubit rates across quantum channels and find applications in optical quantum computing. In this paper we present experiments that use a…

Quantum Physics · Physics 2013-02-01 B. M. Sparkes , C. Cairns , M. Hosseini , D. Higginbottom , G. Campbell , P. K. Lam , B. C. Buchler

We derive model equations for optical pulse propagation in a medium described by a two-level Hamiltonian, without the use of the slowly varying envelope approximation. Assuming that the resonance frequency of the two-level atoms is either…

Pattern Formation and Solitons · Physics 2007-05-23 Herve Leblond , Francois Sanchez

We consider a quantum memory scheme based on the conversion of a signal pulse into a long-lived spin coherence via stimulated off-resonant Raman process. For a storing medium consisting of alkali atoms, we have calculated the Autler-Townes…

Using the idealized integrable Maxwell-Bloch model, we describe random optical-pulse polarization switching along an active optical medium in the Lambda-configuration with disordered occupation numbers of its lower energy sub-level pair.…

Optics · Physics 2015-06-04 Ethan P. Atkins , Peter R. Kramer , Gregor Kovacic , Ildar R. Gabitov

A semianalytic theory for the pulse dynamics in similariton amplifiers and lasers is presented, based on a model pulse with adaptive shape. By changing a single parameter, this test function can be continuously tweaked between a pure…

Optics · Physics 2011-06-15 Christian Jirauschek , F. Ömer Ilday

We construct a Darboux transformation of a general $su(3)$-valued spin system called the $\Gamma$-spin system. Using this Darboux transformation we derive a recursive formula for the soliton solutions of this spin system. Then using these…

Exactly Solvable and Integrable Systems · Physics 2016-07-28 Akbota Myrzakul , Ratbay Myrzakulov

The integrable nonlocal nonlinear Schrodinger (NNLS) equation with the self-induced parity-time-symmetric potential [Phys. Rev. Lett. 110 (2013) 064105] is investigated, which is an integrable extension of the standard NLS equation. Its…

Exactly Solvable and Integrable Systems · Physics 2017-04-19 Xiao-Yong Wen , Zhenya Yan , Yunqing Yang

We implement variational shortcuts to adiabaticity for optical pulse compression in an active nonlinear Kerr medium with distributed amplification and spatially varying dispersion and nonlinearity. Starting with the hyperbolic secant…

Optics · Physics 2026-01-01 Yingjia Li , Koushik Paul , David Novoa , Xi Chen

Nonlinear effects in pulse propagation through a medium consisting of four-level double-$\Lambda$-type systems are studied theoretically. We apply three continous-wave driving fields and a pulsed probe field such that they form a closed…

Quantum Physics · Physics 2009-11-13 Robert Fleischhaker , Jörg Evers

Optical micro-manipulation techniques has evolved into powerful tools to efficiently steer the motion of microscopical particles on periodic and quasi-periodic potentials, driven by the external electromagnetic field. Here, the dynamics of…

Atomic Physics · Physics 2018-11-13 Aliezer Martínez-Mesa , Llinersy Uranga Piña

Over the past 15 years, several groups have engineered media that are both strongly dispersive and roughly transparent for some finite bandwidth. Relationships and intuitive models that are satisfactory when it is reasonable to neglect…

Optics · Physics 2010-06-01 Douglas H. Bradshaw

A multi-component semi-discrete nonlinear integrable system associated with the relevant third-order auxiliary linear problem is claimed to be the prototype system for several reduced integrable systems formulated in terms of true dynamical…

Exactly Solvable and Integrable Systems · Physics 2020-11-25 Oleksiy O. Vakhnenko

We derive generalized nonlinear wave solution formula for mixed coupled nonlinear Sch\"odinger equations (mCNLSE) by performing the unified Darboux transformation. We give the classification of the general soliton formula on the nonzero…

Exactly Solvable and Integrable Systems · Physics 2015-11-06 Liming Ling , Li-Chen Zhao , Boling Guo

Electromagnetically induced transparency (EIT) is well known as a quantum optical phenomenon that permits a normally opaque medium to become transparent due to the quantum interference between transition pathways. This work addresses…

Pattern Formation and Solitons · Physics 2025-10-21 Ramesh Kumar Vaduganathan , Prasanta K. Panigrahi , Boris A. Malomed

Light is extensively used to steer the motion of atoms in free space, enabling cooling and trapping of matter waves through ponderomotive forces and Doppler-mediated photon scattering. Likewise, light interaction with free electrons has…

A one-fold Darboux transformation between solutions of the semi-discrete massive Thirring model is derived using the Lax pair and dressing methods. This transformation is used to find the exact expressions for soliton solutions on zero and…

Exactly Solvable and Integrable Systems · Physics 2019-10-23 Tao Xu , Dmitry E. Pelinovsky

In this paper, the Darboux transformation (DT) of the reverse space-time (RST) nonlocal short pulse equation is constructed by a hodograph transformation and the eigenfunctions of its Lax pair. The multi-soliton solutions of the RST…

Exactly Solvable and Integrable Systems · Physics 2024-05-29 Jiaqing Shan , Maohua Li

The relaxation of stochastic systems after sudden perturbations is constrained by speed limits and often reveals memory effects that hinder attempts to accelerate their dynamics. Here we demonstrate Kovacs-type nonmonotonic relaxation in…

Soft Condensed Matter · Physics 2026-03-16 Miguel Ibáñez , Raúl A. Rica-Alarcón , María L. Jiménez