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Related papers: Exact analytical soliton solutions in dipolar BEC

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We find one-, two-, and three-component solitons of the polar and ferromagnetic (FM) types in the general (non-integrable) model of a spinor (three-component) model of the Bose-Einstein condensate (BEC), based on a system of three…

Pattern Formation and Solitons · Physics 2007-05-23 Lu Li , Zaidong Li , Boris A. Malomed , Dumitru Mihalache , W. M. Liu

We present bright-dark vector solitons in quasi-one-dimensional spinor (F=1) Bose-Einstein condensates. Using a multiscale expansion technique, we reduce the corresponding nonintegrable system of three coupled Gross-Pitaevskii equations…

Other Condensed Matter · Physics 2010-12-10 H. E. Nistazakis , D. J. Frantzeskakis , P. G. Kevrekidis , B. A. Malomed , R. Carretero-Gonzalez

The controlled creation of dark-bright (DB) soliton trains in multi-component Bose-Einstein condensates (BECs) is a topic of ongoing interest. In this work we generalize earlier findings on the creation of dark soliton trains in…

Quantum Gases · Physics 2022-05-30 A. Romero-Ros , G. C. Katsimiga , P. Kevrekidis , B. Prinari , G. Biondini , P. Schmelcher

By solving the three-dimensional Gross-Pitaevskii equation we generate two-dimensional axially-symmetric and anisotropic dipolar Bose-Einstein condensate bright solitons, for repulsive atomic interaction, stabilized by only a weak…

Quantum Gases · Physics 2015-06-03 S. K. Adhikari , P. Muruganandam

We consider a BEC of rigid rotor molecules confined to quasi-2d through harmonic trapping. The molecules are subjected to an external electric field which polarizes the gas, and the molecules interact via dipole-dipole interactions. We…

Quantum Gases · Physics 2023-06-07 Joseph C. Smith , Seth T. Rittenhouse , Ryan M. Wilson , Brandon M. Peden

We numerically generate, and then study the basic properties of dark soliton-like excitations in a dipolar gas confined in a quasi one dimensional trap. These excitations, although very similar to dark solitons in a gas with contact…

Quantum Gases · Physics 2015-11-16 Krzysztof Pawlowski , Kazimierz Rzazewski

Adopting a mean-field description for a two-component atomic Bose-Einstein condensate, we study the stat- ics and dynamics of dark-bright solitons in the presence of localized impurities. We use adiabatic perturbation theory to derive an…

Quantum Gases · Physics 2015-06-03 V. Achilleos , P. G. Kevrekidis , V. M. Rothos , D. J. Frantzeskakis

Using a three-dimensional mean-field model we study one-dimensional dipolar Bose-Einstein condensate (BEC) solitons on a weak two-dimensional (2D) square and triangular optical lattice (OL) potentials placed perpendicular to the…

Quantum Gases · Physics 2012-06-14 S. K. Adhikari , P. Muruganandam

New efficient and accurate numerical methods are proposed to compute ground states and dynamics of dipolar Bose-Einstein condensates (BECs) described by a three-dimensional (3D) Gross-Pitaevskii equation (GPE) with a dipolar interaction…

Quantum Gases · Physics 2021-10-26 Weizhua Bao , Yongyong Cai , Hanquan Wang

The optical properties of infinite planar array of scattering particles, metasurfaces and metagratings, are attracting special attention lately for their rich phenomenology, including both plasmonic and high-refractive-index dielectric…

We describe a class of theories of dielectric polarization and a species of solitons in these theories. The solitons, made entirely out of the polarization field, have quantized values of the electric charge and can be interpreted as…

Mesoscale and Nanoscale Physics · Physics 2007-10-03 S. Khlebnikov

We present variational calculations using a Gaussian trial function to calculate the ground state of the Gross-Pitaevskii equation and to describe the dynamics of the quasi-two-dimensional solitons in dipolar Bose-Einstein condensates.…

Quantum Gases · Physics 2011-05-05 Rüdiger Eichler , Jörg Main , Günter Wunner

We present a unified description of attractive and repulsive polarons, formed in a one-dimensional Bose gas hosting an impurity particle, by obtaining all ground and excited state solutions to the Gross-Pitaevskii equation. Modeling the…

Quantum Gases · Physics 2025-10-02 Nikolay Yegovtsev , T. Alper Yoğurt , Matthew T. Eiles , Victor Gurarie

We rigorously establish the existence of dark-bright solitons as traveling wave solutions to a one dimensional defocusing Gross-Pitaevskii system, a widely used model for describing mixtures of Bose-Einstein condensates and nonlinear…

Analysis of PDEs · Mathematics 2026-02-13 Salvador López-Martínez

Analytic expressions have been derived for the interaction potential between dipolar bright solitons and the binding energy of a two-soliton molecule. The properties of these localized structures are explored with a focus on their behavior…

Quantum Gases · Physics 2019-05-22 B. B. Baizakov , S. M. Al-Marzoug , U. Al Khawaja , H. Bahlouli

Solitons in the extended hydrodynamic model of the dipolar Bose-Einstein condensate with quantum fluctuations are considered. This model includes the continuity equation for the scalar field of concentration, the Euler equation for the…

Quantum Gases · Physics 2021-03-17 Pavel A. Andreev

An overview on the physics of spinor and dipolar Bose-Einstein condensates (BECs) is given. Mean-field ground states, Bogoliubov spectra, and many-body ground and excited states of spinor BECs are discussed. Properties of spin-polarized…

Quantum Gases · Physics 2012-08-17 Yuki Kawaguchi , Masahito Ueda

A strongly dipolar Bose-Einstein condensate (BEC) of Dy atoms could sustain different types of states not possible in a non-dipolar BEC. Motivated by the observation of a very strongly dipolar condensate of NaCs molecules [N. Bigagli et…

Quantum Gases · Physics 2025-05-21 S K Adhikari

We develop a perturbation theory for bright solitons of the F=1 integrable spinor Bose-Einstein condensate (BEC) model. The formalism is based on using the Riemann-Hilbert problem and provides the means to analytically calculate evolution…

Other Condensed Matter · Physics 2009-11-13 Evgeny V. Doktorov , Jiandong Wang , Jianke Yang

Most data in cold-atom experiments comes from images, the analysis of which is limited by our preconceptions of the patterns that could be present in the data. We focus on the well-defined case of detecting dark solitons -- appearing as…