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Related papers: Self-consistent spin waves in magnetized BEC

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Based on the modified Gross-Pitaevskii equation for atoms with intrinsic dipole moments which accounts for the relaxation of a condensate, the dipole-dipole interaction and the interaction of atoms with the electromagnetic field, the…

Quantum Gases · Physics 2020-01-08 Yu. M. Poluektov , A. A. Soroka

This paper investigates the formation of Spin Faraday waves in spin-orbit-coupled Bose-Einstein condensate under the stripe phase and explores the dispersion relation under three different phases. We discover that the SFW exhibit temporal…

Quantum Gases · Physics 2025-12-17 Hongguang Liang , Meiling Wang , Juan Wang , Yan Li

By means of new general variational method we report a direct solution for the quintic self-focusing nonlinearity and cubic-quintic 1D Gross Pitaeskii equation (GPE) in a harmonic confined potential. We explore the influence of the 3D…

Atomic Physics · Physics 2015-06-11 Carlos Trallero-Giner , Rolci Cipolatti

Basic models which give rise to one- and two-dimensional (1D and 2D) solitons, such as the Gross-Pitaevskii (GP) equations for Bose-Einstein condensates (BECs), feature the Galilean invariance, which makes it possible to generate families…

Pattern Formation and Solitons · Physics 2022-10-26 Boris A. Malomed

We analytically solve the one-dimensional coupled Gross-Pitaevskii equations which govern the motion of F=1 spinor Bose-Einstein condensates. The nonlinear density-density interactions are decoupled by making use of the unique properties of…

Quantum Gases · Physics 2015-06-04 Zhi-Hai Zhang , Cong Zhang , Shi-Jie Yang , Shiping Feng

We study the collective excitation frequencies of a harmonically trapped 85Rb Bose-Einstein condensate (BEC) in the vicinity of a Feshbach resonance. To this end, we solve the underlying Gross-Pitaevskii (GP) equation by using a Gaussian…

Quantum Gases · Physics 2013-06-11 Hamid Al-Jibbouri , Axel Pelster

We study certain stationary and time-evolution problems of trapped Bose-Einstein condensates using the numerical solution of the Gross-Pitaevskii equation with both spherical and axial symmetries. We consider time-evolution problems…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari , Paulsamy Muruganandam

We propose experiments to observe Bose-Einstein condensation (BEC) and superfluidity of quasi-two-dimensional (2D) spatially indirect magnetoexcitons in bilayer graphene. The magnetic field $B$ is assumed strong. The energy spectrum of…

Strongly Correlated Electrons · Physics 2009-11-13 Oleg L. Berman , Yurii E. Lozovik , Godfrey Gumbs

The recent experimental realization of spin-orbit coupling for ultracold atomic gases opens a new avenue for engineering solitons with internal spatial structures through tuning atomic band dispersions. However, the types of the resulting…

Quantum Gases · Physics 2020-05-12 Li-Chen Zhao , Xi-Wang Luo , Chuanwei Zhang

We study the numerical solution of the time-dependent Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate (BEC) at zero or very low temperature. In preparation for the numerics we scale the 3d Gross-Pitaevskii equation and…

Condensed Matter · Physics 2009-11-10 Weizhu Bao , Dieter Jaksch , Peter A. Markowich

We consider a Gross-Pitaevskii model of BEC with non-local interactions of range of the order of the s-wave scattering length. With this model, we study the density modulated phase in 1D and 2D, which are solutions of this modified model…

Quantum Gases · Physics 2015-12-17 Abhijit Pendse , A. Bhattacharyay

We study the quench dynamics of a Bose-Einstein condensate under a Raman-assisted synthetic spin-orbit coupling. To model the dynamical process, we adopt a self-consistent Bogoliubov approach, which is equivalent to applying the…

Quantum Gases · Physics 2016-06-01 Tian-Shu Deng , Wei Zhang , Wei Yi , Guang-Can Guo

We investigate the evolution of the momentum distribution of a Bose-Einstein condensate subjected to an external small oscillatory perturbation as a function of the in-trap evolution of the condensate after the external perturbation is…

We investigate pattern formation in two-dimensional Bose-Einstein condensates (BECs) caused by periodic driving of the interatomic interaction. We show that this modulation generically leads to a stable square grid density pattern, due to…

Superfluid properties of Bose-Einstein condensates (BEC) in toroidal quasi-one-dimensional traps are investigated in the presence of periodic scattering length modulations along the ring. The existence of several types of stable periodic…

Quantum Gases · Physics 2012-01-04 A. V. Yulin , Yu. V. Bludov , V. V. Konotop , V. Kuzmiak , M. Salerno

We present a comprehensive theoretical study of linear wave scattering from magnetic domain walls with varied twist angles $\Theta$ in spin-$1/2$ Bose-Einstein condensates (BECs). Using a gauge transformation, we show that scattering…

Quantum Gases · Physics 2026-04-10 Mei Zhao , Lijia Jiang , Tao Yang , Jun-Hui Zheng

We analyse systematically, from the viewpoint of the nonlinear physics of solitary waves, the effect of the spatial dimension (D = 1,2,3) on the structure and stability of the Bose-Einstein condensates (BECs) trapped in an external…

Condensed Matter · Physics 2007-05-23 Yuri S. Kivshar , Tristram J. Alexander

It has recently been suggested that the organic compound NiCl$_2$-4SC(NH$_2$)$_2$ (DTN) exhibits Bose-Einstein Condensation (BEC) of the Ni spin degrees of freedom for fields applied along the tetragonal c-axis. The Ni spins exhibit 3D…

Strongly Correlated Electrons · Physics 2009-11-11 V. S. Zapf , D. Zocco , M. Jaime , N. Harrison , A. Lacerda , C. D. Batista , A. Paduan-Filho

We analyze vector localized solutions of two-component Bose-Einstein condensates (BECs) with variable nonlinearity parameter and external trap potential through similarity transformation technique which transforms the two coupled…

Pattern Formation and Solitons · Physics 2016-04-06 K. Manikandan , P. Muruganandam , M. Senthilvelan , M. Lakshmanan

Quantum hydrodynamic (QHD) model of charged spin-1/2 particles contains physical quantities defined for all particles of a species including particles with spin-up and with spin-down. Different population of states with different spin…

Plasma Physics · Physics 2015-04-01 Pavel A. Andreev