Frontiers in multidimensional self-trap** of nonlinear fields and matter

YV Kartashov, GE Astrakharchik, BA Malomed… - Nature Reviews …, 2019 - nature.com
Abstract 2D and 3D solitons and related states, such as quantum droplets, can appear in
optical systems, atomic Bose–Einstein condensates (BECs) and liquid crystals, among other …

Vortex solitons: Old results and new perspectives

BA Malomed - Physica D: Nonlinear Phenomena, 2019 - Elsevier
A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …

Multidimensional soliton systems

BA Malomed - Advances in Physics: X, 2024 - Taylor & Francis
This concise review aims to provide a summary of the most relevant recent experimental and
theoretical results for solitons, ie self-trapped bound states of nonlinear waves, in two-and …

Two-dimensional vortex quantum droplets

Y Li, Z Chen, Z Luo, C Huang, H Tan, W Pang… - Physical Review A, 2018 - APS
It was recently found that the Lee-Huang-Yang (LHY) correction to the mean-field
Hamiltonian of binary atomic boson condensates suppresses the collapse and creates …

Creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space

H Sakaguchi, B Li, BA Malomed - Physical Review E, 2014 - APS
It is commonly known that two-dimensional mean-field models of optical and matter waves
with cubic self-attraction cannot produce stable solitons in free space because of the …

Multidimensional solitons: Well-established results and novel findings

BA Malomed - The European Physical Journal Special Topics, 2016 - Springer
A brief review is given of some well-known and some very recent results obtained in studies
of two-and three-dimensional (2D and 3D) solitons. Both zero-vorticity (fundamental) …

Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: Effects of the Rashba-Dresselhaus coupling and Zeeman splitting

H Sakaguchi, EY Sherman, BA Malomed - Physical Review E, 2016 - APS
We present an analysis of two-dimensional (2D) matter-wave solitons, governed by the
pseudospinor system of Gross-Pitaevskii equations with self-and cross attraction, which …

Vortex-bright solitons in a spin-orbit-coupled spin-1 condensate

S Gautam, SK Adhikari - Physical Review A, 2017 - APS
We study the vortex-bright solitons in a quasi-two-dimensional spin-orbit-coupled (SO-
coupled) hyperfine spin-1 three-component Bose-Einstein condensate using variational …

Energy-level inversion for vortex states in spin-orbit-coupled Bose-Einstein condensates

HB Luo, L Li, BA Malomed, Y Li, B Liu - Physical Review A, 2024 - APS
We investigate vortex states in Bose-Einstein condensates under the combined action of the
spin-orbit coupling (SOC), gradient magnetic field, and harmonic-oscillator trap** …

Two-dimensional solitons in dipolar Bose-Einstein condensates with spin-orbit coupling

X Jiang, Z Fan, Z Chen, W Pang, Y Li, BA Malomed - Physical Review A, 2016 - APS
We report families of two-dimensional (2D) composite solitons in spinor dipolar Bose-
Einstein condensates, with two localized components linearly mixed by the spin-orbit …