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Solutions to the Maxwell-Bloch equations for a $\Lambda$ system are computed using the single-soliton Darboux transformation and the nonlinear superposition principle. These allow complete control of information deposited by a signal pulse…

Quantum Physics · Physics 2016-05-16 Rodrigo Gutiérrez-Cuevas , Joseph H. Eberly

In this letter, for the discrete parity-time-symmetric nonlocal nonlinear Schr\"{o}dinger equation, we construct the Darboux transformation, which provides an algebraic iterative algorithm to obtain a series of analytic solutions from a…

Exactly Solvable and Integrable Systems · Physics 2016-11-02 Tao Xu , Hengji Li , Hongjun Zhang , Min Li , Sha Lan

In this paper, we primarily construct Darboux transformation(DT) of the nonlocal coupled modified complex integrable dispersionless (cm-CID) equation, which is first proposed by the connection with a nonlocal coupled modified complex short…

Exactly Solvable and Integrable Systems · Physics 2025-10-16 Hong-Qian Sun , Shou-Feng Shen , Zuo-Nong Zhu

This work models the propagation of an optical pulse in a 4-level atomic system in the electromagnetic induced transparency regime. By demonstrating that linear and nonlinear optical properties can be externally controlled and tailored by a…

Optics · Physics 2018-10-11 Nuno A. Silva , André L. Almeida , A. Guerreiro

In this paper, we propose a complex short pulse equation of both focusing and defocusing types, which governs the propagation of ultra-short pulses in nonlinear optical fibers. It can be viewed as an analogue of the nonlinear Schr\"odinger…

Exactly Solvable and Integrable Systems · Physics 2016-06-01 Bao-Feng Feng , Liming Ling , Zuonong Zhu

Optical solitons are self-sustained wave packets that propagate without distortion due to a balance between dispersion and nonlinearity. Their unique stability underpins key photonic applications while also playing a central role in…

Pattern Formation and Solitons · Physics 2025-12-04 François Copie , Pierre Suret , Stéphane Randoux

To study controlled evolution of non-autonomous matter-wave solitons in spinor Bose-Einstein condensates with spatiotemporal modulation, we focus on a system of three coupled Gross-Pitaevskii (GP) equations with space-time-dependent…

In the framework of the nonlinear $\Lambda$-model we investigate propagation of solitons in atomic vapors and Bose-Einstein condensates. We show how the complicated nonlinear interplay between fast solitons and slow-light solitons in the…

Quantum Physics · Physics 2009-11-11 A. V. Rybin , I. P. Vadeiko , A. R. Bishop

We propose a method to control the optical transparency of a Bose-Einstein condensate with working energy levels of the Lambda-type. The reported effects are essentially nonlinear and are considered in the framework of an exactly solvable…

Quantum Physics · Physics 2009-11-10 A. V. Rybin , I. P. Vadeiko

We provide an exact analytic description of decelerating, stopping and re-accelerating optical solitons in atomic media. By virtue of this solution we describe in detail how spatially localized optical memory bits can be written down, read…

Quantum Physics · Physics 2007-05-23 I. P. Vadeiko , A. V. Rybin , A. R. Bishop

Coherent control of traveling acoustic excitations in a waveguide system is an interesting way to manipulate and transduce classical and quantum information. So far, these interactions, often based on optomechanical resonators or Brillouin…

Quantum Physics · Physics 2022-04-05 Junyin Zhang , Changlong Zhu , Christian Wolff , Birgit Stiller

We study inelastic collisions of counter-propagating self-induced transparency solitons in a homogeneously broadened two-level medium. The energy of the pulse can be almost totally absorbed in the medium due to asymmetric collision with a…

Optics · Physics 2012-04-11 Denis Novitsky

We address the propagation of a single photon pulse with two polarization components, i.e., a polarization qubit, in an inhomogeneously broadened "phaseonium" \Lambda-type three-level medium. We combine some of the non-trivial propagation…

Quantum Physics · Physics 2012-04-13 D. Viscor , A. Ferraro , Yu. Loiko , J. Mompart , V. Ahufinger

We present a general model for an atomic memory using ultra-short pulses of light, which allows both spatial and temporal multimode storage. The process involves the storage of a faint quantum light pulse into the spin coherence of the…

Quantum Physics · Physics 2015-06-03 T. Golubeva , Yu. Golubev , O. Mishina , A. Bramati , J. Laurat , E. Giacobino

Random optical-pulse polarization switching along an active optical medium in the $\Lambda$-configuration with spatially disordered occupation numbers of its lower energy sub-level pair is described using the idealized integrable…

In this work, we study the asymptotic behaviors and dynamics of degenerate and mixed solitons for the coupled Hirota system with strong coherent coupling effects in the isotropic nonlinear medium. Using the binary Darboux transformation, we…

Pattern Formation and Solitons · Physics 2025-08-01 Zhong Du , Mingke Qin , Lei Liu

With the nonuniform media taken into account, the nonisospectral and variable-coefficient Korteweg-de Vries equation, which describes various physical situations such as fluid dynamics and plasma, is under investigation in this paper. With…

Pattern Formation and Solitons · Physics 2017-10-17 Ling-Jun Liu , Xin Yu

Maxwell-Bloch system describing the resonant propagation of electromagnetic pulses in both two-level media with degeneracy in angle moment projection and three-level media with equal oscillator forces is considered. The inhomogeneous…

Quantum Physics · Physics 2007-05-23 S. B. Leble , N. V. Ustinov

This paper presents a pulse compansion, i.e. compression or expansion, technique based on co-propagating space-time modulation. An engineered asymmetric space-time modulated medium, co-propagating with a pulse compands the pulse…

Optics · Physics 2018-10-10 Nima Chamanara , Christophe Caloz

We present a unified operator-theoretic framework for constructing deterministic KdV soliton gases and step-type KdV solutions. Starting from Dyson's determinantal formula, we obtain a broad class of reflectionless solutions and describe…

Mathematical Physics · Physics 2025-12-16 Alexei Rybkin
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