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Management of solitons in media with competing quadratic and cubic nonlinearities is investigated. Two schemes, using rapid modulations of a mismatch parameter, and of the Kerr nonlinearity parameter are studied. For both cases, the…

Pattern Formation and Solitons · Physics 2023-01-19 F. Kh. Abdullaev , J. S. Yuldashev , M. Ogren

We consider possibilities to control dynamics of solitons of two types, maintained by the combination of cubic attraction and spin-orbit coupling (SOC) in a two-component system, namely, semi-dipoles (SDs) and mixed modes (MMs), by making…

Quantum Gases · Physics 2019-03-14 H. Sakaguchi , B. A. Malomed

We consider a dual-core nonlinear waveguide with the parity-time (PT) symmetry, realized in the form of equal gain and loss terms carried by the coupled cores. To expand a previously found stability region for solitons in this system, and…

Pattern Formation and Solitons · Physics 2019-07-24 Zhiwei Fan , Boris A. Malomed

By means of a temporal-periodic modulation of the s-wave scattering length, a procedure to control the evolution of an initial atomic coherent state associated with a Bosonic Josephson junction is presented. The scheme developed has a…

Quantum Gases · Physics 2014-06-09 J. Lozada-Vera , V. S. Bagnato , M. C. de Oliveira

We propose two models for the creation of stable dissipative solitons in optical media with the $\chi^{(2)}$ (quadratic) nonlinearity. To compensate spatially uniform loss in both the fundamental-frequency (FF) and second-harmonic (SH)…

Optics · Physics 2015-06-23 Valery E. Lobanov , Olga V. Borovkova , Boris A. Malomed

The problem of the stability of solitons in second-harmonic-generating media with normal group-velocity dispersion (GVD) in the second-harmonic (SH) field, which is generic to available chi^(2) materials, is revisited. Using an iterative…

Optics · Physics 2009-11-13 Peter Y. P. Chen , Boris A. Malomed

Parametrically modulated optomechanical systems have been recently proposed as a simple and efficient setting for the quantum control of a micromechanical oscillator: relevant possibilities include the generation of squeezing in the…

Quantum Physics · Physics 2012-07-18 Alessandro Farace , Vittorio GIovannetti

We introduce a new method to achieve long lived Bloch oscillations and dynamical localization of matter wave gap solitons in optical lattices. The method is based on time dependent modulations of the nonlinearity which can be experimentally…

Other Condensed Matter · Physics 2009-07-22 Yuliy V. Bludov , Vladimir V. Konotop , Mario Salerno

We develop stability analysis for matter-wave solitons in a two-dimensional (2D) Bose-Einstein condensate loaded in an optical lattice (OL), to which periodic time modulation is applied, in different forms. The stability is studied by dint…

Quantum Gases · Physics 2017-12-08 Nir Dror , Boris A. Malomed

Phase-mismatch in nonlinear optical processes can severely limit the propagation and conversion efficiency of light fields. Here, we present an efficient optimal-control strategy to mitigate the detrimental effects of phase-mismatch in an…

Quantum Physics · Physics 2025-09-17 Ning Jia , Hamid R. Hamedi , Jing Qian

We present a procedure for nonlinearity management of metal-dielectric composites. Varying the volume fraction occupied by silver nanoparticles suspended in acetone we could cancel the refractive index related to the third-order…

Optics · Physics 2014-06-18 Albert S. Reyna , Cid B. de Araújo

We present a proposal for controlling the conversion of ultracold atoms into molecules by fixing the phase difference between two oscillating magnetic fields. The scheme is based on the use of a magnetic Feshbach resonance with a field…

Quantum Gases · Physics 2015-11-05 J. Plata

The dynamics of matter waves in the atomic to molecular condensate transition with a time-modulated atomic scattering length is investigated. Both the cases of rapid and slow modulations are studied. In the case of rapid modulations, the…

Quantum Gases · Physics 2021-08-27 F Kh Abdullaev , M Ogren , J S Yuldashev

Motivated by recent experiments, we present the time-optimal variational control of bright matter-wave soliton trapped in a quasi-one-dimensional harmonic trap by manipulating the atomic attraction through Feshbach resonances. More…

Quantum Gases · Physics 2020-11-18 Tang-You Huang , Jia Zhang , Jing Li , Xi Chen

We study the effective dynamics of ferromagnetic spin chains in presence of long-range interactions. We consider the Heisenberg Hamiltonian in one dimension for which the spins are coupled through power-law long-range exchange interactions…

Quasi-phase-matching (QPM) is a widely adopted technique for mitigating stringent momentum conservation in nonlinear optical processes such as second-harmonic generation (SHG). It effectively compensates for the phase velocity mismatch…

We consider effects of a periodic modulation of the nonlinearity coefficient on fundamental and higher-order solitons in the one-dimensional NLS equation, which is an issue of direct interest to Bose-Einstein condensates in the context of…

Pattern Formation and Solitons · Physics 2009-11-10 Hidetsugu Sakaguchi , Boris A. Malomed

It is demonstrated the existence of multidimensional matter-wave solitons in a crossed optical lattice (OL) with linear OL in the $x-$direction and nonlinear OL (NOL) in the $y-$direction, where the NOL can be generated by a periodic…

Atomic Physics · Physics 2010-11-15 H. L. F. da Luz , F. Kh. Abdullaev , A. Gammal , M. Salerno , Lauro Tomio

In this paper, we study modulation instabilities (MI) in a one-dimensional chain configuration of a flexible mechanical metamaterial (flexMM). Using the lumped element approach, flexMMs can be modeled by a coupled system of discrete…

Applied Physics · Physics 2023-05-31 Antoine Demiquel , Vassos Achilleos , Georgios Theocharis , Vincent Tournat

We systematically study the influence of simultaneously modulating the input laser intensity and quantum dot (QD) resonance frequecy on the mean-field dynamics, fluctuation energy transfer and entanglement in a optomechanical semi-conductor…

Quantum Physics · Physics 2020-07-24 Vijay Bhatt , Pradip K. Jha , Aranya B. Bhattacherjee , Souri Banerjee
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