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We explore the dynamical stabilities of a quasi-one dimensional (1D) Bose-Einstein condensate (BEC) consisting of fixed $N$ atoms with time-independent external potential. For the stationary states with zero flow density the general…

Quantum Physics · Physics 2009-11-13 Wenhua Hai , Guishu Chong , Jianwen Song

We study the influence of dipole-dipole interaction on the formation of vortices in a rotating dipolar Bose-Einstein condensate (BEC) of $^{52}$Cr and $^{164}$Dy atoms in quasi two-dimensional geometry. By numerically solving the…

Quantum Gases · Physics 2012-10-02 R. Kishor Kumar , P. Muruganandam

We study rotating quasi-two-dimensional Bose-Einstein-condensates, in which atoms are dressed to a highly excited Rydberg state. This leads to weak effective interactions that induce a transition to a mesoscopic supersolid state.…

Atomic Physics · Physics 2012-07-13 N. Henkel , F. Cinti , P. Jain , G. Pupillo , T. Pohl

The low lying excitations of coreless vortex states in F = 1 spinor Bose-Einstein condensates (BECs) are theoretically investigated using the Gross-Pitaevskii and Bogoliubov-de Gennes equations. The spectra of the elementary excitations are…

Other Condensed Matter · Physics 2009-03-09 M. Takahashi , V. Pietila , M. Mottonen , T. Mizushima , K. Machida

We investigate the spin Faraday pattern formation in a periodically driven, pancake-shaped spin-orbit-coupled (SOC) Bose-Einstein condensate (BEC) prepared with stripe phase. By modulating atomic interactions using in-phase and out-of-phase…

Quantum Gases · Physics 2025-12-16 Shixiang Chen , Hongguang Liang , Juan Wang , Yan Li

We present a theoretical analysis of dilute gas Bose-Einstein condensates with dipolar atomic interactions under rotation in elliptical traps. Working in the Thomas-Fermi limit, we employ the classical hydrodynamic equations to first derive…

Quantum Gases · Physics 2013-05-29 R. M. W. van Bijnen , A. J. Dow , D. H. J. O'Dell , N. G. Parker , A. M. Martin

The Gross-Pitaevskii equation for a Bose-Einstein condensate (BEC) with symmetric harmonic trap is given in (1). Periodic solutions of (1) play an important role in the understanding of the long term behavior of its solutions. In this note…

Analysis of PDEs · Mathematics 2016-03-08 Andres Contreras , Carlos García-Azpeitia

We numerically investigate the stationary turbulent states of spin-1 Bose-Einstein condensates under continuous spin driving. We analyze the entanglement entropy and magnetization correlation function to demonstrate the isotropic nature of…

Quantum Gases · Physics 2024-03-04 Jong Heum Jung , Junghoon Lee , Jongmin Kim , Yong-il Shin

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

We experimentally generate sine-Gordon-like solitons in a spin-1 spinor Bose-Einstein condensate (BEC) utilizing a robust and reproducible local phase-imprinting scheme. We find that the soliton velocity can be tuned by the effective…

The recent experimental realization of spin-orbit coupling for ultracold atomic gases provides a powerful platform for exploring many interesting quantum phenomena. In these studies, spin represents spin vector (spin-1/2 or spin-1) and…

Quantum Gases · Physics 2017-11-15 Xi-Wang Luo , Kuei Sun , Chuanwei Zhang

We derive a system of nonpolynomial Schroedinger equations (NPSEs) for one-dimensional wave functions of two components in a binary self-attractive Bose-Einstein condensate loaded in a cigar-shaped trap. The system is obtained by means of…

Other Condensed Matter · Physics 2009-11-11 Luca Salasnich , Boris A. Malomed

We consider a system of two Gross-Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose-Einstein condensate (BEC) composed of two different…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis , B. A. Malomed

We consider the three-dimensional (3D) mean-field model for the Bose-Einstein condensate (BEC), with a 1D nonlinear lattice (NL), which periodically changes the sign of the nonlinearity along the axial direction, and the harmonic-oscillator…

Quantum Gases · Physics 2012-02-21 L. Salasnich , B. A. Malomed

An experimental proposal for realizing spin-orbit (SO) coupling of pseudospin-1 in the ground manifold $^1\Sigma(\upsilon=0)$ of (bosonic) bialkali polar molecules is presented. The three spin components are composed of the ground…

Quantum Gases · Physics 2018-05-16 Y. Deng , L. You , S. Yi

We investigate the spontaneous generation of crystallized topological defects via the combining effects of fast rotation and rapid thermal quench on the spin-1 Bose-Einstein condensates. By solving the stochastic projected Gross-Pitaevskii…

Quantum Gases · Physics 2016-11-25 S. -W. Su , C. -H. Hsueh , I. -K. Liu , T. -L. Horng , Y. -C. Tsai , S. -C. Gou , W. M. Liu

We develop a novel model of the magnetized spin-1 Bose-Einstein condensate (BEC) of neutral atoms, using the method of many-particle quantum hydrodynamic (QHD) and propose an original derivation of the system of continual equations. We…

Quantum Gases · Physics 2021-01-12 Mariya Iv. Trukhanova , Yuri N. Obukhov

We calculate the hydrodynamic solutions for a dilute Bose-Einstein condensate with long-range dipolar interactions in a rotating, elliptical harmonic trap, and analyse their dynamical stability. The static solutions and their regimes of…

Other Condensed Matter · Physics 2015-06-25 R. M. W. van Bijnen , D. H. J. O'Dell , N. G. Parker , A. M. Martin

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 study the ground-state behavior of a Bose-Einstein Condensate (BEC) in a Raman-laser-assisted one-dimensional (1D) optical lattice potential forming a multilayer system. We find that, such system can be described by an effective model…

Quantum Gases · Physics 2017-01-10 Qing Sun , Jie Hu , Lin Wen , W. -M. Liu , G. Juzeliunas , An-Chun Ji
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