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Temporal solitons in driven microresonator, fiber-resonator, and bulk enhancement cavities enable attractive optical sources for spectroscopy, communications, and metrology. Here we present theoretical and experimental observations of a new…

A phase soliton is a topological defect peculiar to two-band superconductors, which is associated with a $2\pi$ winding of the relative phase of the two superconducting condensates. We study the quasiparticle spectrum in the presence of a…

Superconductivity · Physics 2015-06-05 K. V. Samokhin

We analyze the existence and stability of two kinds of self-trapped spatially localized gap modes, gap solitons and truncated nonlinear Bloch waves, in one-and two-dimensional optical or matter-wave media with self-focusing nonlinearity,…

Pattern Formation and Solitons · Physics 2019-09-25 Jincheng Shi , Jianhua Zeng

Long-range spatial coherence can be induced in thermal emitters by embedding a periodic grating into a material supporting propagating polaritons or dielectric modes. However, the emission angle and frequency cannot be defined…

Optics · Physics 2021-04-21 Guanyu Lu , Marko Tadjer , Joshua D. Caldwell , Thomas G. Folland

Using the variational approximation and numerical simulations, we study one-dimensional gap solitons in a binary Bose-Einstein condensate trapped in an optical-lattice potential. We consider the case of inter-species repulsion, while the…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari , Boris A. Malomed

We study the matter-wave solitons in Bose-Einstein condensate (BEC) trapped on a M\"{o}bius strip (MS), based on the respective Gross-Pitaevskii (GP) equation with the mean-field theory. In the linear regime, vortex states are characterized…

Pattern Formation and Solitons · Physics 2025-02-14 Huan-Bo Luo , Guilong Li , Fu-Quan Dou , Bin Liu , Boris A. Malomed , Josep Batle , Yongyao Li

We have measured the Raman spectra of polycrystalline MgB$_{2}$ from 25 {\cm} to 1200 {\cm}. When the temperature was decreased below the superconducting transition temperature $T_c$, we observed a superconductivity-induced redistribution…

Superconductivity · Physics 2016-08-31 X. K. Chen , M. J. Konstantinovic , J. C. Irwin , D. D. Lawrie , J. P. Franck

We study the formation of bright solitons in a Bose-Einstein condensate of $^7$Li atoms induced by a sudden change in the sign of the scattering length from positive to negative, as reported in a recent experiment (Nature {\bf 417}, 150…

Statistical Mechanics · Physics 2009-11-10 L. Salasnich , A. Parola , L. Reatto

We report on numerical predictions and experimental observations of a novel type of temporal localized dissipative structures that manifest themselves in the self-defocusing regime of driven nonlinear optical resonators with two…

The paper is devoted to the dynamics of dissipative gap solitons in the periodically corrugated optical waveguides whose spectrum of linear excitations contains a mode that can be referred to as a quasi-Bound State in the Continuum. These…

Optics · Physics 2021-12-08 D. Dolinina , A. Yulin

We analytically study optical properties of several types of defects in Bragg multiple quantum well structures. We show that a single defect leads to two local polariton modes in the photonic band gap. These modes lead to peculiarities in…

Disordered Systems and Neural Networks · Physics 2016-08-31 Lev I. Deych , A. Yamilov , A. A. Lisyansky

We report results of the study of solitons in a system of two nonlinear-Schrodinger (NLS) equations coupled by the XPM interaction, which models the co-propagation of two waves in metamaterials(MMs). The same model applies to photonic…

Pattern Formation and Solitons · Physics 2015-05-14 Peter Y. P. Chen , Boris A. Malomed

We study magnetic solitons, solitary waves of spin polarization (i.e., magnetization), in binary Bose-Einstein condensates in the presence of Rabi coupling. We show that the system exhibits two types of magnetic solitons, called $2\pi$ and…

Quantum Gases · Physics 2017-03-16 Chunlei Qu , Marek Tylutki , Sandro Stringari , Lev P. Pitaevskii

We theoretically model a dissipative system which exhibits self-defocussing nonlinearity and numerically study the dynamics of optical dissipative solitons (DSs) whose evolution is governed by a complex Ginzburg-Landau equation (GLE). We…

Optics · Physics 2018-11-27 Ambaresh Sahoo , Samudra Roy

It is commonly held that a necessary condition for the existence of solitons in nonlinear-wave systems is that the soliton's frequency (spatial or temporal) must not fall into the continuous spectrum of radiation modes. However, this is not…

Pattern Formation and Solitons · Physics 2009-10-31 A. R. Champneys , B. A. Malomed , J. Yang , D. J. Kaup

The spatially periodic breather solutions (SPBs) of the nonlinear Schr\"odinger equation, prominent in modeling rogue waves, are unstable. In this paper we numerically investigate the effects of nonlinear dissipation and higher order…

Pattern Formation and Solitons · Physics 2022-06-15 C. M. Schober , A. Islas

We introduce a one-dimensional system combining the $\mathcal{PT}$-symmetric complex periodic potential and the $\chi ^{(2)}$ (second-harmonic-generating) nonlinearity. The imaginary part of the potential, which represents spatially…

Pattern Formation and Solitons · Physics 2013-08-23 F. C. Moreira , V. V Konotop , B. A. Malomed

We introduce a system based on dual-core nonlinear waveguides with the balanced gain and loss acting separately in the cores. The system features a "supersymmetry" when the gain and loss are equal to the inter-core coupling. This system…

Optics · Physics 2015-05-30 R. Driben , B. A. Malomed

The perturbations of chirped dissipative solitons are analyzed in the spectral domain. It is shown, that the structure of the perturbed chirped dissipative soliton is highly nontrivial and has a tendency to an enhancement of the spectral…

Optics · Physics 2016-11-23 Vladimir L. Kalashnikov

We elaborate a method for the creation of two- and one-dimensional (2D and 1D) self-trapped modes in binary spin-orbit (SO)-coupled Bose-Einstein condensates (BECs) with the contact repulsive interaction, whose local strength grows fast…