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Motivated by experiments in atomic Bose-Einstein condensates (BECs), we compare predictions of a system of ordinary differential equations (ODE) for dynamics of one and two individual vortices in the rotating BECs with those of the partial…

Pattern Formation and Solitons · Physics 2018-02-07 P. G. Kevrekidis , D. E. Pelinovsky

In this paper, we begin with the nonlinear Schrodinger/Gross-Pitaevskii equation (NLSE/GPE) for modeling Bose-Einstein condensation (BEC) and nonlinear optics as well as other applications, and discuss their dynamical properties ranging…

Numerical Analysis · Mathematics 2015-06-15 Xavier Antoine , Weizhu Bao , Christophe Besse

It is shown that spin-orbit interaction leads to drastic changes in wave patterns generated by a flow of two-component Bose-Einstein condensate (BEC) past an obstacle. The combined Rashba and Dresselhaus spin-orbit interaction affects in…

Quantum Gases · Physics 2015-06-18 Y. V. Kartashov , A. M. Kamchatnov

We introduce a new class of soliton-like entities in spinor three component BECs. These entities generalize well known solitons. For special values of coupling constants, the system considered is Completely Integrable and supports $N$…

Quantum Gases · Physics 2014-01-28 Piotr Szankowski , Marek Trippenbach , Eryk Infeld

We identify all possible classes of solutions for two-component Bose-Einstein condensates (BECs) within the Thomas-Fermi (TF) approximation, and check these results against numerical simulations of the coupled Gross-Pitaevskii equations…

Condensed Matter · Physics 2007-05-23 M. Trippenbach , K. Goral , K. Rzazewski , B. A. Malomed , Y. B. Band

We study the formation of solitons in a uniform quasi-one-dimensional (quasi-1D) spin-orbit (SO) coupled self-repulsive pseudo spin-half and spin-one dipolar Bose-Einstein condensates (BEC), using the mean-field Gross-Pitaevskii equation.…

Quantum Gases · Physics 2026-03-20 S. K. Adhikari

By numerical and variational solution of the Gross-Pitaevskii equation, we studied the localization of a noninteracting and weakly-interacting Bose-Einstein condensate (BEC) in a disordered cold atom lattice and a speckle potential. In the…

Quantum Gases · Physics 2015-05-19 Yongshan Cheng , S. K. Adhikari

We present a study of binary mixtures of Bose-Einstein condensates confined in a double-well potential within the framework of the mean field Gross-Pitaevskii equation. We reexamine both the single component and the binary mixture cases for…

Quantum Gases · Physics 2011-03-10 M. Mele-Messeguer , B. Julia-Diaz , M. Guilleumas , A. Polls , A. Sanpera

We analytically and numerically investigate the ground state of the spin-orbit coupled spin-1 Bose-Einstein condensates in an external parabolic potential. When the spin-orbit coupling strength $\kappa$ is comparable with that of the…

Atomic Physics · Physics 2013-12-11 Shu-Wei Song , Yi-Cai Zhang , Qing Sun , Hanquan Wang , Lin Wen , A. C. Ji , W. M. Liu

In ordered magnets, the elementary excitations are spin waves (magnons), which obey Bose-Einstein statistics. Similarly to Cooper pairs in superconductors, magnons can be paired into bound states under attractive interactions. The Zeeman…

Rabi-coupled spinor Bose-Einstein condensates, with competing intra-and interspecies interactions, enable independent control of two-and three-body interactions. We show that coupling can also drive the system into a strongly nonlinear…

Quantum Gases · Physics 2025-07-30 R Eid , S Tiengo , M Lévy , T Bourdel

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

The fragmentation of spin-orbit coupled spin-1 Bose gas with a weak interaction in external harmonic trap is explored by both exact diagonalization and mean-field theory. This fragmentation tendency, which originates from the total angular…

Quantum Gases · Physics 2015-06-19 Shu-Wei Song , Yi-Cai Zhang , Hong Zhao , Xuan Wang , Wu-Ming Liu

We study the single-particle dispersion of a spin-orbit coupled (SOC) Bose-Einstein condensate (BEC) under the periodical modulation of the Raman coupling. This modulation introduces a further coupling of the SOC dressed eigenlevels, thus…

We study the formation of stable bright solitons in quasi-one-dimensional (quasi-1D) spin-orbit- (SO-) and Rabi-coupled two pseudospinor dipolar Bose-Einstein condensates (BECs) of 164 Dy atoms in the presence of repulsive contact…

Quantum Gases · Physics 2018-01-17 Emerson Chiquillo

A theoretical model of a Bose-Einstein condensate with angular spin-orbit coupling has recently been proposed and it has been established that a half-skyrmion represents the ground state in a certain regime of spin-orbit coupling and…

Quantum Gases · Physics 2016-09-23 Ivana Vasic , Antun Balaz

We theoretically investigate the dynamics of modulation instability (MI) in two-dimensional spin-orbit coupled Bose-Einstein condensates (BECs). The analysis is performed for equal densities of pseudo-spin components. Different combination…

Quantum Gases · Physics 2017-05-22 S. Bhuvaneswari , K. Nithyanandan , P. Muruganandam , K. Porsezian

Spin-orbit coupling (SOC), the interaction between the spin and momentum of a quantum particle, is crucial for many important condensed matter phenomena. The recent experimental realization of SOC in neutral bosonic cold atoms provides a…

Quantum Gases · Physics 2012-01-24 Yongping Zhang , Li Mao , Chuanwei Zhang

We theoretically study homogeneously trapped atomic Bose-Einstein condensates where all three momentum components couple to a pseudo-spin-$1/2$ degree of freedom. Tuning the anisotropies of spin-orbit coupling and the spin-dependent…

Quantum Gases · Physics 2015-11-04 Renyuan Liao , Oleksander Fialko , Joachim Brand , Ulrich Zulicke

We consider an attractive quasi-one dimensional spin-orbit coupled Bose-Einstein condensate (SOC BEC) confined in a periodic potential produced by the combination of linear and nonlinear optical lattices, and study the effects of squeezing…

Quantum Gases · Physics 2023-03-09 Golam Ali Sekh , Benoy Talukdar
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