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We study two-dimensional soliton-soliton vector pairs in media with self-focusing nonlinearities and defocing cross-interactions. The general properties of the stationary states and their stability are investigated. The different scenarios…

Pattern Formation and Solitons · Physics 2015-05-18 A. I. Yakimenko , O. O. Prikhodko , S. I. Vilchynskyi

We demonstrate a possibility to generate localized states in effectively one-dimensional Bose-Einstein condensates with a negative scattering length in the form of a dark soliton in the presence of an optical lattice (OL) and/or a parabolic…

Soft Condensed Matter · Physics 2009-11-10 P. G. Kevrekidis , D. J. Frantzeskakis , Boris A. Malomed , A. R. Bishop , I. G. Kevrekidis

Dilute-gas Bose-Einstein condensates are an exceptionally versatile testbed for the investigation of novel solitonic structures. While matter-wave solitons in one- and two-component systems have been the focus of intense research efforts,…

We theoretically study the superfluidity properties of a non-equilibrium Bose-Einstein condensate of exciton-polaritons in a semiconductor microcavity. The dynamics of the condensate is described at mean-field level in terms of a modified…

Mesoscale and Nanoscale Physics · Physics 2010-01-06 Michiel Wouters , Iacopo Carusotto

We investigate dark-bright vector solitary wave solutions to the coupled non-linear Schr\"odinger equations which describe an inhomogeneous two-species Bose-Einstein condensate. While these structures are well known in non-linear fiber…

Condensed Matter · Physics 2009-10-31 Th. Busch , J. R. Anglin

The stationary bright solitons that appear in the ground state of the spin-orbit coupled Bose-Einstein condensate (SOC-BEC) exhibit nodes. We consider SOC-BEC in combined linear and nonlinear optical lattices and study their effects on the…

Atomic Physics · Physics 2021-10-14 Golam Ali Sekh , Benoy Talukdar

In our study, we investigated bright solitons, dark solitons, and quantum droplets in quasi-one-dimensional dipolar Bose gases, and further validated the crossover and coexistence of quantum droplets and solitons using the Lieb-Liniger…

Quantum Gases · Physics 2024-03-28 Y. Y. Shi

We develop a quantum model for non-equilibrium Bose-Einstein condensation of photons and polaritons in planar microcavity devices. The model builds upon laser theory and includes the spatial dynamics of the cavity field, a saturation…

Quantum Gases · Physics 2015-06-19 Alessio Chiocchetta , Iacopo Carusotto

We suggest a method for creating bright matter solitons by loading a BEC of atoms in a driven tilted optical lattice. It is shown that one can realize the self-focussing regime for the wave-packet dynamics by properly adjusting the phase of…

Quantum Gases · Physics 2015-05-18 Andrey R. Kolovsky

In the present work, we revisit two-component Bose-Einstein condensates in their fully three-dimensional (3d) form. Motivated by earlier studies of dark-bright solitons in the 1d case, we explore the stability of these structures in their…

Quantum Gases · Physics 2017-03-08 Wenlong Wang , P. G. Kevrekidis

We study the possibility of using dark soliton in quasi one dimensional Bose Einstein condensates to produce two level system (qubits) by exploiting the intrinsic nonlinear and the coherent nature of the matter waves. We calculate the…

Quantum Gases · Physics 2017-05-24 Muzzamal I. Shaukat , Eduardo V. Castro , Hugo Terças

Solitons, nonlinear particle-like excitations with inalterable properties (amplitude, shape, and velocity) as they propagate, are omnipresent in many branches of science---and in physics in particular. Flat-top solitons are a novel type of…

Pattern Formation and Solitons · Physics 2019-09-24 Liangwei Zeng , Jianhua Zeng

Recent ALICE results demonstrate that over 90\% of light nuclei and anti-nuclei ($d$, $\bar d$) observed in heavy-ion collisions originate from a non-equilibrium, multi-stage process: $\Delta$-resonance production, decay into correlated…

High Energy Physics - Phenomenology · Physics 2025-12-23 Takeshi Fukuyama

Recently the possibility of generating nonclassical polariton states by means of parametric scattering has been demonstrated. Excitonic polaritons propagate in a complex interacting environment and contain real electronic excitations…

Mesoscale and Nanoscale Physics · Physics 2007-10-16 S. Portolan , O. Di Stefano , S. Savasta , F. Rossi , R. Girlanda

We investigate the formation of bound states between dark-antidark solitary waves in two-component dipolar Bose-Einstein condensates. The excitation spectrum contains density and spin branches, and a rotonic feature of the spin branch…

Quantum Gases · Physics 2026-04-17 R. M. V. Röhrs , R. N. Bisset

We find a set of exact solutions of coherent bright solitons in the quasi-one-dimensional (1D) Bose-Einstein condensate (BEC) trapped in a harmonic potential, by using a Gaussian laser well (barrier) with oscillating position to balance the…

Quantum Physics · Physics 2008-11-30 Wenhua Hai , Qiongtao Xie , Qianquan Zhu

Excited states of Bose--Einstein condensates are considered in the semi-classical (Thomas-Fermi) limit of the Gross--Pitaevskii equation with repulsive inter-atomic interactions and a harmonic potential. The relative dynamics of dark…

Pattern Formation and Solitons · Physics 2015-05-14 M. Coles , D. E. Pelinovsky , P. G. Kevrekidis

In this paper, we demonstrate the emergence of non-degenerate bright solitons and summarize their several interesting features in a completely integrable two-component long-wave-short-wave resonance interaction model with a general form of…

Pattern Formation and Solitons · Physics 2025-08-26 S. Stalin , M. Lakshmanan

Axions and similar very weakly interacting particles are increasingly compelling candidates for the cold dark matter of the universe. Having very low mass and being produced non-thermally in the early Universe, axions feature extremely high…

High Energy Physics - Phenomenology · Physics 2015-06-18 Juergen Berges , Joerg Jaeckel

Semiconductor microcavities offer a unique system to investigate the physics of weakly interacting bosons. Their elementary excitations, polaritons--a mixture of excitons and photons--behave, in the low density limit, as bosons that can…

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