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Random resonant media being one of the possible realizations of disordered metamaterials open a room of opportunities for achieving new fundamental effects and designing advanced nanophotonic devices. Strongly nonlinear optical properties…

Optics · Physics 2019-01-17 Denis Novitsky , Alexander Shalin

Wave-speed management of soliton pulses in a nonlinear metamaterial exhibiting a rich variety of physical effects that are important in a wide range of practical applications, is studied both theoretically and numerically. Ultrashort…

Pattern Formation and Solitons · Physics 2023-06-21 Houria Triki , Vladimir I. Kruglov

Optical quantum memory--the ability to store photonic quantum states and retrieve them on demand--is an essential resource for emerging quantum technologies and photonic quantum information protocols. Simultaneously achieving high…

Quantum Physics · Physics 2021-06-30 Kai Shinbrough , Benjamin Hunt , Virginia O. Lorenz

We study on rational solutions on nonzero background of coupled Sasa-Satsuma equations through Darboux transformation method, which take into account third order dispersion, the term with self-frequency shift, and the term describing…

Pattern Formation and Solitons · Physics 2014-10-07 Li-Chen Zhao , Zhan-Ying Yang , liming Ling

We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schr\"{o}dinger equation with varying…

Pattern Formation and Solitons · Physics 2020-05-06 Houria Triki , Vladimir I. Kruglov

Specific features of nonlinear interference processes at quantum transitions in near- and fully-resonant optically-dense Doppler-broadened medium are studied. The feasibility of overcoming of the fundamental limitation on a…

Quantum Physics · Physics 2009-11-11 A. K. Popov , S. A. Myslivets , Thomas F. George

We study the influence of a lossless material medium on the coherent storage and quantum state transfer of a quantized probe light in an ensemble of $\Lambda $-type atoms. The medium is modeled as uniformly distributed two-level atoms with…

Quantum Physics · Physics 2009-11-13 Liang He , Yu-xi Liu , S. Yi , C. P. Sun , Franco Nori

We introduce universally robust sequences for dynamical decoupling, which simultaneously compensate pulse imperfections and the detrimental effect of a dephasing environment to an arbitrary order, work with any pulse shape, and improve…

Quantum Physics · Physics 2017-03-30 Genko T. Genov , Daniel Schraft , Nikolay V. Vitanov , Thomas Halfmann

In a recent paper [Gorshkov et al., Phys. Rev. Lett. 98, 123601 (2007)] and in the two preceding papers [Gorshkov et al., Phys. Rev. A 76, 033804 (2007); 76, 033805 (2007)], we used a universal physical picture to optimize and demonstrate…

Quantum Physics · Physics 2007-09-09 Alexey V. Gorshkov , Axel Andre , Mikhail D. Lukin , Anders S. Sorensen

We examine in detail an alternative method of retrieving the information written into an atomic ensemble of three-level atoms using electromagnetically induced transparency. We find that the behavior of the retrieved pulse is strongly…

Quantum Physics · Physics 2009-11-10 Amy Peng , Mattias Johnsson , Joseph J. Hope

A theory of matter wave interference is developed in which resonant optical fields interact with two-level atoms. When recoil effects are included, spatial modulation of the atomic density can occur for times that are greater than or…

Atomic Physics · Physics 2009-10-31 B. Dubetsky , P. R. Berman

We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two, by developing a Darboux (Moutard) transformation formalism for this problem. The procedure follows the steps, similar to…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 A. A. Yurova , A. V. Yurov , M. Rudnev

The Sasa-Satsuma equation, a higher-order nonlinear Schr\"{o}dinger equation, is an important integrable equation, which displays the propagation of femtosecond pulses in optical fibers. In this paper, we investigate a generalized…

Exactly Solvable and Integrable Systems · Physics 2023-06-07 Hong-Qian Sun , Zuo-Nong Zhu

In this paper, we derive Darboux transformation of the inhomogeneous Hirota and the Maxwell-Bloch(IH-MB) equations which is governed by femtosecond pulse propagation through inhomogeneous doped fibre. The determinant representation of…

Exactly Solvable and Integrable Systems · Physics 2012-10-10 Chuanzhong Li , Jingsong He

We analyze a quantum optical memory based on the off-resonant Raman interaction of a single broadband photon, copropagating with a classical control pulse, with an atomic ensemble. The conditions under which the memory can perform optimally…

Quantum Physics · Physics 2007-05-23 J. Nunn , I. A. Walmsley , M. G. Raymer , K. Surmacz , F. C. Waldermann , Z. Wang , D. Jaksch

Darboux developed an ingenious algebraic mechanism to construct infinite chains of ''integrable'' second-order differential equations as well as their solutions. After a surprisingly long time, Darboux's results were rediscovered and…

Classical Analysis and ODEs · Mathematics 2023-04-03 Primitivo Acosta-Humánez , Moulay Barkatou , Raquel Sánchez-Cauce , Jacques-Arthur Weil

Fiber guided optical signal propagating in a Erbium doped nonlinear resonant medium is known to produce cleaner solitonic pulse, described by the self induced transparency (SIT) coupled to nonlinear Schroedinger equation. We discover two…

Exactly Solvable and Integrable Systems · Physics 2015-02-04 Anjan Kundu

We study an intense-short pulse propagation in a saturable cubic-quintic nonlinear media in the presence of nonlinear dispersion within the framework of an extended variational approach. We derive an effective equation for the pulse width…

Atomic Physics · Physics 2021-10-14 Sudipta Das , Kajal Krishna Dey , Golam Ali Sekh

In this paper, via the generalized Darboux transformation, rational soliton solutions are derived for the parity-time-symmetric nonlocal nonlinear Schr\"{o}dinger (NLS) model with the defocusing-type nonlinearity. We find that the…

Exactly Solvable and Integrable Systems · Physics 2016-11-17 Min Li , Tao Xu , Dexin Meng

By using the Darboux transformation, we obtain two new types of exponential-and-rational mixed soliton solutions for the defocusing nonlocal nonlinear Schrodinger equation. We reveal that the first type of solution can display a large…

Exactly Solvable and Integrable Systems · Physics 2019-11-20 Tao Xu , Sha Lan , Min Li , Ling-Ling Li , Guo-Wei Zhang