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We propose a system identification method, Non-Markovian Optimization-based Modeling for Approximate Dynamics with Spatially-homogeneous memory (NOMADS), for identifying linear dynamical systems from a set of multi-dimensional time-series…

Optimization and Control · Mathematics 2026-01-27 Ryoji Anzaki , Kazuhiro Sato

In this paper, we examined a possibility of preservation of a substantially multimode radiation in a single cell of quantum memory. As a light source we considered a synchronously pumped optical parametric oscillator (SPOPO). As it was…

Quantum Physics · Physics 2017-01-11 A. D. Manukhova , K. S. Tikhonov , T. Yu. Golubeva , Yu. M. Golubev

In this paper, we construct a generalized Darboux transformation to the coupled Hirota equations with high-order nonlinear effects like the third dispersion, self-steepening and inelastic Raman scattering terms. As application, an Nth-order…

Mathematical Physics · Physics 2014-04-29 Xin Wang , Yuqi Li , Yong Chen

The second-type derivative nonlinear Schr\"odinger (DNLSII) equation was introduced as an integrable model in 1979. Very recently, the DNLSII equation has been shown by an experiment to be a model of the evolution of optical pulses…

Exactly Solvable and Integrable Systems · Physics 2015-04-14 Y. S. Zhang , L. J. Guo , J. S. He , Z. X. Zhou

We propose an efficient all-optical phase modulation based on a double-{\Lambda} system and demonstrate a {\pi} phase shift of a few-photon pulse induced by another few-photon pulse in cold rubidium atoms with this scheme. By changing the…

Spatiotemporal modulation offers a variety of opportunities for light manipulations. In this paper, we propose a way towards arbitrary transformation for pulses sequentially propagating within one waveguide in space via temporal waveguide…

Optics · Physics 2023-11-15 Zhaohui Dong , Xianfeng Chen , Luqi Yuan

A model is studied which describes a propagation of a subpicosecond optical pulse in dispersion-managed fibre links. In the limit of weak chromatic dispersion management, the model equation is reduced to a perturbed modified NLS equation…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 Evgeny V. Doktorov

This paper investigates a reverse space-time higher-order modified self-steepening nonlinear Schr\"odinger equation, which distinguishes its standard local counterparts through the reverse space-time symmetry. The integrability of this…

Exactly Solvable and Integrable Systems · Physics 2025-11-11 Yanan Wang , Xi-hu Wu

We have demonstrated that near complete coherence can be achieved in a four level double lambda-like systems using a train of ultra-short optical pulses. The effect of the Doppler broadening has been analyzed and a scheme has been proposed…

Optics · Physics 2014-01-16 Pawan Kumar , Amarendra K. Sarma

The storage and subsequent retrieval of coherent pulse trains in the quantum memory (i.e. cavity-dark state) of three-level $\Lambda$ atoms, are considered for an optical medium in which adiabatic photon transfer occurs under the condition…

Optics · Physics 2019-12-17 Davis D. M. Welakuh , Alain M. Dikande

We study the coherent storage and retrieval of a very short multimode light pulse in an atomic ensemble. We consider a quantum memory process based on the conversion of a signal pulse into a long-lived spin coherence via light matter…

Quantum Physics · Physics 2011-05-27 T. Golubeva , Yu. Golubev , O. Mishina , A. Bramati , J. Laurat , E. Giacobino

In this paper the coupled Maxwell-Bloch equations which describe the propagation of two optical pulses in an optical medium with coherent three-level atoms are studied by Darboux transformation. The general nth-order rogue wave solution…

Exactly Solvable and Integrable Systems · Physics 2020-02-12 Xin Wang , Lei Wang , Chong Liu

This work considers the subdiffusion problem with non-positive memory, which not only arises from physical laws with memory, but could be transformed from sophisticated models such as subdiffusion or subdiffusive Fokker-Planck equation with…

Numerical Analysis · Mathematics 2025-05-09 Wenlin Qiu , Xiangcheng Zheng

We propose a dynamical approach to quantum memories using a synchronous oscillator-cavity model, in which the coupling is shaped in time to provide the optimum interface to a symmetric input pulse. This overcomes the known difficulties of…

Quantum Physics · Physics 2014-05-09 Q. Y. He , M. D. Reid , P. D. Drummond

We consider the simultaneous propagation of a pair of Raman-resonant, frequency-modulated (chirped) laser pulses in an optically thick medium, modeled by an ensemble of $\Lambda$-atoms. A self-organization ('matching`) effect is shown for…

Quantum Physics · Physics 2014-03-19 N. Sandor , G. Demeter , D. Dzsotjan , G. P. Djotyan

In this paper, we obtain the Nth-order rational solutions for the defocusing nonlocal nonlinear Schrodinger equation by the Darboux transformation and some limit technique. Then, via an improved asymptotic analysis method relying on the…

Exactly Solvable and Integrable Systems · Physics 2021-11-17 Tao Xu , Lingling Li , Min Li , Chunxia Li , Xuefeng Zhang

Intensive light pulse interaction with a dense resonant medium is considered. The possibilities of optical switching and pulse compression at realistic parameters of the medium are analyzed. Pulse shape transformation in different photonic…

Optics · Physics 2009-08-27 Denis Novitsky

Physical processes that could facilitate coherent control of light propagation are now actively explored. In addition to fundamental interest, these efforts are stimulated by possibilities to develop, for example, a quantum memory for…

Quantum Physics · Physics 2007-05-23 M. Bajcsy , A. S. Zibrov , M. D. Lukin

Optical soliton dynamics can cause the extreme alteration of the temporal and spectral shape of a propagating light pulse. They occur at up to kilowatt peak powers in glass-core optical fibres and the gigawatt level in gas-filled…

The existence of ``dispersion-managed solitons'', i.e., stable pulsating solitary-wave solutions to the nonlinear Schr\"{o}dinger equation with periodically modulated and sign-variable dispersion is now well known in nonlinear optics. Our…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 Simon Clarke , Boris A. Malomed , Roger Grimshaw