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We develop a symmetry classification scheme to find ground states of pseudo spin-1/2, spin-1, and spin-2 spin-orbit coupled spinor Bose-Einstein condensates, and show that as the SO(2) symmetry of simultaneous spin and space rotations is…

Quantum Gases · Physics 2012-09-28 Z. F. Xu , Y. Kawaguchi , L. You , M. Ueda

We study trapped 2D atomic Bose-Einstein condensates with spin-independent interactions in the presence of an isotropic spin-orbit coupling, showing that a rich physics results from the non-trivial interplay between spin-orbit coupling,…

Quantum Gases · Physics 2015-05-30 Subhasis Sinha , Rejish Nath , Luis Santos

This paper investigates the dynamics of spin-2 Bose-Einstein condensates (BECs) with rotation and spin-orbit coupling (SOC). In order to better simulate the dynamics, we present an efficient high-order compact splitting Fourier spectral…

Numerical Analysis · Mathematics 2026-03-27 Xin Liu , Ziqing Xie , Yongjun Yuan , Yong Zhang , Xinyi Zhao

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

An effective spin-orbit coupling can be generated in cold atom system by engineering atom-light interactions. In this letter we study spin-1/2 and spin-1 Bose-Einstein condensates with Rashba spin-orbit coupling, and find that the…

Quantum Gases · Physics 2010-10-27 Chunji Wang , Chao Gao , Chao-Ming Jian , Hui Zhai

We derive from first principles the experimentally observed effective dynamics of a spinor Bose gas initially prepared as a Bose-Einstein condensate and then left free to expand ballistically. In spinor condensates, which represent one of…

Mathematical Physics · Physics 2018-09-26 Alessandro Michelangeli , Alessandro Olgiati

We study a quasispin-$1/2$ Bose-Einstein condensate with synthetically generated spin-orbit coupling in a toroidal trap, and show that the system has a rich variety of ground and metastable states. As the central hole region increases,…

Quantum Gases · Physics 2017-03-22 Xiao-Fei Zhang , Masaya Kato , Wei Han , Shou-Gang Zhang , Hiroki Saito

In a trapped spin-1/2 Bose-Einstein condensate with miscible interactions, a two-dimensional spin-orbit coupling can introduce an unconventional spatial separation between the two components. We reveal the physical mechanism of such a…

Quantum Gases · Physics 2024-11-06 Zhiqian Gui , Zhenming Zhang , Jin Su , Hao Lyu , Yongping Zhang

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

Achieving full control of a Bose-Einstein condensate can have valuable applications in metrology, quantum information processing, and quantum condensed matter physics. We propose protocols to simultaneously control the internal (related to…

Quantum Physics · Physics 2026-01-13 Yue Ban , Xi Chen , J. G. Muga , E. Ya Sherman

We propose a scheme to realize a pseudospin-$1/2$ model of the $^{1}\Sigma(v=0)$ bialkali polar molecules with the spin states corresponding to two sublevels of the first excited rotational level. We show that the effective dipole-dipole…

Quantum Gases · Physics 2015-09-30 Y. Deng , S. Yi

In this study, we investigate the dynamics of tunable spin-orbit-coupled spin-1 Bose-Einstein condensates confined within a harmonic trap, focusing on rapid transport, spin manipulation, and splitting dynamics. Using shortcuts to…

Quantum Gases · Physics 2024-06-07 Yaning Xu , Yuanyuan Chen , Xi Chen

We present OpenMP versions of FORTRAN programs for solving the Gross-Pitaevskii equation for a harmonically trapped three-component spin-1 spinor Bose-Einstein condensate (BEC) in one (1D) and two (2D) spatial dimensions with or without…

The spinor dynamics of Bose-Einstein condensates of 87Rb atoms with hyperfine spins 1 and 2 were investigated. A technique of simultaneous Ramsey interferometry was developed for individual control of the vectors of two spins with almost…

Quantum Gases · Physics 2018-02-21 Yujiro Eto , Hitoshi Shibayama , Hiroki Saito , Takuya Hirano

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

This work concerns the computation of ground states of two-component spin-orbit coupled Bose-Einstein condensates (SO-coupled BECs), modelled by a coupled nonlinear eigenvalue problem of Gross-Pitaevskii type. Spin-orbit coupling gives rise…

Numerical Analysis · Mathematics 2026-01-15 Patrick Henning , Laura Huynh

We study the quantum dynamics of a spin-orbit (SO) coupled Bose-Einstein condensate (BEC) in a double-well potential inspired by the experimental protocol recently developed by NIST group. We focus on the regime where the number of atoms is…

Quantum Gases · Physics 2015-06-19 Roberta Citro , Adele Naddeo

We theoretically propose and numerically realize spin echo in a spinor Bose--Einstein condensate (BEC). We investigate the influence on the spin echo of phase separation of the condensate. The equation of motion of the spin density exhibits…

Other Condensed Matter · Physics 2009-11-13 Masashi Yasunaga , Makoto Tsubota

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 uniform solutions to the one-dimensional spinor Bose-Einstein condensates on a ring. These states explicitly display the associated motion of the super-current and the spin rotation, which give rise to fractional winding…

Quantum Gases · Physics 2015-06-15 Yong-Kai Liu , Shi-Jie Yang
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