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We consider an array of dual-core waveguides, which represent an optical realization of a chain of dimers, with an active (gain-loss) coupling between the cores, opposite signs of discrete diffraction in the parallel arrays, and a…

Pattern Formation and Solitons · Physics 2019-06-11 O. B. Kirikchi , B. A. Malomed , N. Karjanto , R. Kusdiantara , H. Susanto

Overcoming the decoherence bottleneck remains a central challenge for advancing coherent superconducting quantum device and information technologies. Solitons -- non-dispersive wave packets stabilized by the collective synchronization of…

Superconductivity · Physics 2025-07-31 M. Mootz , C. Vaswani , C. Huang , K. J. Lee , A. Khatri , P. Mandal , J. H. Kang , L. Luo , I. E. Perakis , C. B. Eom , J. Wang

We report how a doublet of the symmetric oppositely tilted bistable resonance peaks in a microring resonator with quadratic nonlinearity set for generation of the second harmonic can transform into a Kerr-like peak on one side of the linear…

Optics · Physics 2019-03-26 Alberto Villois , Dmitry V. Skryabin

Experimental and theoretical studies of nonlinear frequency combs in \chi^(3) optical microresonators attracted tremendous research interest during the last decade and resulted in prototypes of solitonbased steadily working devices.…

Optics · Physics 2020-02-19 Evgeny Podivilov , Sergey Smirnov , Ingo Breunig , Boris Sturman

Solitons are wavepackets that resist dispersion through a self-induced potential well. They are studied in many fields, but are especially well known in optics on account of the relative ease of their formation and control in optical fiber…

Optics · Physics 2017-02-01 Qi-Fan Yang , Xu Yi , Ki Youl Yang , Kerry Vahala

Solitons occur in many physical systems when a nonlinearity compensates wave dispersion. Their recent formation in microresonators opens a new research direction for nonlinear optical physics and provides a platform for miniaturization of…

Optics · Physics 2017-05-04 Qi-Fan Yang , Xu Yi , Ki Youl Yang , Kerry Vahala

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

Frequency combs have applications that extend from the ultra-violet into the mid-infrared bands. Microcombs, a miniature and often semiconductor-chip-based device, can potentially access most of these applications, but are currently more…

Spontaneous creation of solitons in quadratic media by the downconversion, i.e., parametric instability against the generation of fundamental-frequency excitations, from the truncated Airy-wave (AW) mode in the second-harmonic component is…

Pattern Formation and Solitons · Physics 2023-07-19 Thawatchai Mayteevarunyoo , Boris A. Malomed

Dynamical process of the formation of a soliton pair from a photogenerated electron-hole pair in polyacetylene is studied numerically by adopting the SSH Hamiltonian. A weak local disorder is introduced in order to trigger the formation.…

Condensed Matter · Physics 2009-10-31 Yukio Hirano , Yoshiyuki Ono

Calcium fluoride (CaF$_2$) crystalline whispering gallery mode resonators (WGMRs) exhibit ultrahigh intrinsic quality factors and a low power anomalous dispersion in the communication and mid-infrared bands, making them attractive platforms…

The recent demonstration of dissipative Kerr solitons in microresonators has opened a new pathway for the generation of ultrashort pulses and low-noise frequency combs with gigahertz to terahertz repetition rates, enabling applications in…

We numerically study the mechanisms of frequency comb generation in the mid-infrared spectral region from cw pumped silicon microring resonators. Coherent soliton comb generation may be obtained even for a pump with zero linear cavity…

Optics · Physics 2015-06-22 Tobias Hansson , Daniele Modotto , Stefan Wabnitz

We propose a compact and robust system architecture for soliton microcomb generation, based on two key techniques: direct fiber coupling using high numerical-aperture polarization-maintaining single-mode fibers (high-NA PMFs) and active…

Dissipative solitons rely on the double balance between nonlinearity and dispersion as well as gain and loss have attracted a lot of attention in optics, since it gives rise to ultrashort pulses and broadband frequency combs with good…

Optics · Physics 2020-09-18 Tengfei Hao , Hao Ding , Wei Li , Ninghua Zhu , Yitang Dai , Ming Li

We report the soliton frequency comb generation in microring optical parametric oscillators operating in the down-conversion regime and with the simultaneous presence of the $\chi^{(2)}$ and Kerr nonlinearities. The combs are studied…

We introduce a model of a lossy second-harmonic-generating (chi^2) cavity externally pumped at the third harmonic, which gives rise to driving terms of a new type, corresponding to a cross-parametric gain. The equation for the…

Pattern Formation and Solitons · Physics 2009-11-10 Vitaly Lutsky , Boris A. Malomed

We report on the formation of dark discrete solitons in a nonlinear periodic system consisting of evanescently-coupled channel waveguides that are fabricated in defocusing lithium niobate. Localized nonlinear dark modes displaying a phase…

Pattern Formation and Solitons · Physics 2009-11-11 Eugene Smirnov , Christian E. Rueter , Milutin Stepic , Vladimir Shandarov , Detlef Kip

Solitons are typically stable objects in 1D models, but their straightforward extensions to 2D and 3D settings tend to be unstable. In particular, the ubiquitous nonlinear Schroedinger (NLS) equation with the cubic self-focusing, creates…

Pattern Formation and Solitons · Physics 2021-11-02 Boris Malomed

We demonstrate that an array of discrete waveguides on a slab substrate, both featuring the $\chi^{2}$ nonlinearity, supports stable solitons composed of discrete and continuous components. Two classes of fundamental composite solitons are…

Pattern Formation and Solitons · Physics 2009-11-11 Nicolae C. Panoiu , Richard M. Osgood , Boris A. Malomed