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This paper reviews theoretical advances on the formation and stabilization of multidimensional solitons in nonlinear Schr\"odinger systems with attractive interactions, focusing on atomic Bose-Einstein condensates and nonlinear optics.…

Quantum Gases · Physics 2026-03-31 Fatkhulla Abdullaev , Mario Salerno

We consider one- and two-dimensional (1D and 2D) optical or matter-wave media with a maximum of the local self-repulsion strength at the center, and a minimum at periphery. If the central area is broad enough, it supports ground states in…

Pattern Formation and Solitons · Physics 2021-11-02 Liangwei Zeng , Boris A. Malomed , Dumitru Mihalache , Yi Cai , Xiaowei Lu , Qifan Zhu , Jingzhen Li

We put forward a strategy to achieve synthetic nonlinearities where local and nonlocal contributions compete on similar footing, thus yielding intermediate tunable responses ranging from fully local to strongly nonlocal. The physical…

Optics · Physics 2015-05-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

An optical trapping scheme is proposed by which ultrashort low-amplitude radiations, co-propagating with a continuous train of temporal pulses in a hollow-core photonic crystal fiber filled with Raman-inactive noble gases, can be trapped…

Collective coherent scattering of laser light by an ensemble of polarizable point particles creates long range interactions, whose properties can be tailored by choice of injected laser powers, frequencies and polarizations. We use a…

Quantum Physics · Physics 2015-06-17 Stefan Ostermann , Matthias Sonnleitner , Helmut Ritsch

Using a 3D Finite-Difference Time-Domain parallel code, we report on the linear and nonlinear propagation of light pulses in a disordered assembly of scatterers, whose spatial distribution is generated by a Molecular Dynamics code;…

Disordered Systems and Neural Networks · Physics 2007-05-23 Claudio Conti , Luca Angelani , Giancarlo Ruocco

We develop a coupled-mode theory for spatial gap solitons in the one-dimensional photonic lattices induced by interfering optical beams in a nonlinear photorefractive crystal. We derive a novel system of coupled-mode equations for two…

Pattern Formation and Solitons · Physics 2009-11-10 Boris A. Malomed , Elena A. Ostrovskaya , Yuri S. Kivshar

Optical beams with certain asymmetric profiles, such as the Airy beam, can depart from rectilinear propagation and instead travel along curved (typically parabolic) trajectories. Here we show that sculpting the spatiotemporal spectrum of…

Optics · Physics 2025-09-03 Layton A. Hall , Ayman F. Abouraddy

Optical techniques for spatiotemporal control can produce laser pulses with custom amplitude, phase, or polarization structure. In nonlinear optics and plasma physics, the use of structured pulses typically follows a forward design…

We study the nonlinear propagation of diffraction-free, space-time wave packets, also called time-diffracting beams because their spatiotemporal structure reproduces diffraction in time. We report on the spontaneous formation of…

Optics · Physics 2018-11-06 Miguel A. Porras

We present an overview of recent advances in the understanding of optical beams in nonlinear media with a spatially nonlocal nonlinear response. We discuss the impact of nonlocality on the modulational instability of plane waves, the…

Pattern Formation and Solitons · Physics 2009-11-10 W. Krolikowski , O. Bang , N. I. Nikolov , D. Neshev , J. Wyller , J. J. Rasmussen , D. Edmundson

We propose a scheme to generate (3+1)-dimensional slow-light Airy wave packets in a resonant $\Lambda$-type three-level atomic gas via electromagnetically induced transparency. We show that in the absence of dispersion the Airy wave packets…

Optics · Physics 2015-06-19 Chao Hang , Guoxiang Huang

Nonlocality is a fundamental concept in photonics. For instance, nonlocal wave-matter interactions in spatially modulated metamaterials enable novel effects, such as giant electromagnetic chirality, artificial magnetism, and negative…

Optics · Physics 2022-03-02 C. Rizza , G. Castaldi , V. Galdi

The control of reflection and refraction at interfaces using engineered media is central to numerous optical technologies, with negative refraction and the suppression of backscattering representing two prominent research frontiers. In this…

Optics · Physics 2026-04-10 Yongge Wang , Jingfeng Yao , Chengxun Yuan , Zhongxiang Zhou

Realizing single light bullets and vortices that are stable in high dimensions is a long-standing goal in the study of nonlinear optical physics. On the other hand, the storage and retrieval of such stable high dimensional optical pulses…

Optics · Physics 2019-03-06 Zhengyang Bai , Weibin Li , Guoxiang Huang

We review the state of the art and recently obtained theoretical and experimental results for two- and three-dimensional (2D and 3D) solitons and related states, such as quantum droplets, in optical systems, atomic Bose-Einstein condensates…

Time-varying media have recently emerged as a new paradigm for wave manipulation, thanks to thesynergy between the discovery of novel, highly nonlinear materials, such as epsilon-near-zero materials, and the questfor novel wave…

Near-soliton scanning light-beam propagation in media with both delayed-response Kerr-type and thermal nonlinearities is analyzed. The delayed-response part of the Kerr nonlinearity is shown to be competitive as compared to the thermal…

solv-int · Physics 2009-10-28 Evgeny V. Doktorov , Rafael A. Vlasov

Three-dimensional (3D) topological materials exhibit much richer phenomena than their lower-dimensional counterparts. Here, we propose self-localized topological states (i.e., topological solitons) in a 3D nonlinear photonic Chern…

Optics · Physics 2022-05-24 Rujiang Li , Pengfei Li , Yongtao Jia , Ying Liu

We introduce a simple approach how an electromagnetic environment can be efficiently embedded into state-of-the-art electronic structure methods, taking the form of radiation-reaction forces. We demonstrate that this self-consistently…

Quantum Physics · Physics 2022-04-27 Christian Schäfer , Göran Johansson