We study a spin-orbit (SO)-coupled hyperfine spin-1 Bose-Einstein condensate (BEC) in a quasi-one-dimensional trap. For an SO-coupled BEC in a one-dimensional box, we show that in the absence of the Rabi term, any nonzero value of SO coupling will result in a phase separation among the components for a ferromagnetic BEC, like $^{87}\mathrm{Rb}$ . On the other hand, SO coupling favors miscibility in a polar BEC, like $^{23}\mathrm{Na}$ . In the presence of a harmonic trap, which favors miscibility, a ferromagnetic BEC phase separates, provided that the SO-coupling strength and number of atoms are greater than some critical value. The Rabi term favors miscibility irrespective of the nature of the spin interaction: ferromagnetic or polar.We study a spin-orbit (SO)-coupled hyperfine spin-1 Bose-Einstein condensate (BEC) in a quasi-one-dimensional trap. For an SO-coupled BEC in a one-dimensional box, we show that in the absence of the Rabi term, any nonzero value of SO coupling will result in a phase separation among the components for a ferromagnetic BEC, like $^{87}\mathrm{Rb}$. On the other hand, SO coupling favors miscibility in a polar BEC, like $^{23}\mathrm{Na}$. In the presence of a harmonic trap, which favors miscibility, a ferromagnetic BEC phase separates, provided that the SO-coupling strength and number of atoms are greater than some critical value. The Rabi term favors miscibility irrespective of the nature of the spin interaction: ferromagnetic or polar.

arXiv:1409.6211Physical Review AOct 20, 201454 citations

Spin Mixing Dynamics in a Spin–Orbit Coupled Bose–Einstein Condensate

Zi-Fa Yu, Ji-Ming Gao, Ai‐Xia Zhang +2 more

Journal of Low Temperature PhysicsApr 1, 20195 citations

Phase transitions of spin-orbit coupled Bose-Einstein Condensate in an external trap potential

Xiang-Fa Zhou, Ian Mondragon-Shem, Congjun Wu

Bulletin of the American Physical SocietyMar 23, 20110 citations

Dynamical generation of dark solitons in spin-orbit-coupled Bose–Einstein condensates

Shuai Cao, Chuan-Jia Shan, Dan-Wei Zhang +2 more

We numerically investigate the ground state, the Raman-driving dynamics, and the nonlinear excitations of a realized spin-orbit-coupled Bose–Einstein condensate in a 1D harmonic trap. Depending on the Raman coupling and the interatomic interactions, three ground-state phases are identified: stripe, plane wave, and zero-momentum phases. A narrow parameter regime with coexistence of stripe and zero-momentum or plane wave phases in real space is found. Several sweeps progress across different phases by driving the Raman coupling linearly in time are simulated and the nonequilibrium dynamics of the system in these sweeps are studied. We find several kinds of nonlinear excitations, with the particular dark solitons excited in the sweep from the stripe phase to the plane wave or zero-momentum phase within the trap. Moreover, the number and the stability of the dark solitons can be controlled in the driving, which provides a direct and easy way to generate dark solitons and study their dynamics and interaction properties.We numerically investigate the ground state, the Raman-driving dynamics, and the nonlinear excitations of a realized spin-orbit-coupled Bose–Einstein condensate in a 1D harmonic trap. Depending on the Raman coupling and the interatomic interactions, three ground-state phases are identified: stripe, plane wave, and zero-momentum phases. A narrow parameter regime with coexistence of stripe and zero-momentum or plane wave phases in real space is found. Several sweeps progress across different phases by driving the Raman coupling linearly in time are simulated and the nonequilibrium dynamics of the system in these sweeps are studied. We find several kinds of nonlinear excitations, with the particular dark solitons excited in the sweep from the stripe phase to the plane wave or zero-momentum phase within the trap. Moreover, the number and the stability of the dark solitons can be controlled in the driving, which provides a direct and easy way to generate dark solitons and study their dynamics and interaction properties.

arXiv:1412.0800Journal of the Optical Society of America BJan 7, 201526 citations

Vortex Dynamics in a Spin-Orbit-Coupled Bose-Einstein Condensate

Alexander L. Fetter

arXiv:1504.01314Journal of Low Temperature PhysicsApr 9, 20155 citations

^{87}\mathrm{Rb}

. On the other hand, SO coupling favors miscibility in a polar BEC, like

^{23}\mathrm{Na}

. In the presence of a harmonic trap, which favors miscibility, a ferromagnetic BEC phase separates, provided that the SO-coupling strength and number of atoms are greater than some critical value. The Rabi term favors miscibility irrespective of the nature of the spin interaction: ferromagnetic or polar.