(a) As the condensate is being squeezed in the <em>xy</em> plane, the peak value of the mathcal {F}_z increases with respect to ω<sub>⊥</sub>/ω, where ω<sub>⊥</sub> is the trapping frequency in the squeezing direction
Shu-Wei Song
Yi-Cai Zhang
Lin Wen
Hanquan Wang
10.6084/m9.figshare.1012193.v1
https://iop.figshare.com/articles/_a_As_the_condensate_is_being_squeezed_in_the_em_xy_em_plane_the_peak_value_of_the_span_class_inline/1012193
<p><strong>Figure 5.</strong> (a) As the condensate is being squeezed in the <em>xy</em> plane, the peak value of the \mathcal {F}_z increases with respect to ω<sub>⊥</sub>/ω, where ω<sub>⊥</sub> is the trapping frequency in the squeezing direction. (b) The corresponding spin texture, showing the hidden half-skyrmions in the periphery of the condensate in the plane wave phase. The relevant parameters are κ = 2.0, ω<sub>⊥</sub>/ω = 4.0 and the total atom number is <em>N</em> = 1 <b>×</b> 10<sup>4</sup>. The unit of \mathcal {F}_z is .</p> <p><strong>Abstract</strong></p> <p>We analytically and numerically investigate the ground state of spin–orbit coupled spin-1 Bose–Einstein condensates in an external parabolic potential. When the spin–orbit coupling is introduced, spatial displacement exists between the atom densities of components with different magnetic quantum numbers. The analytical calculations show this displacement reaches a maximum when the spin–orbit coupling strength is comparable with that of the trapping potential. As the spin–orbit coupling strength gets larger and larger, the spatial displacement decreases at a rate inversely proportional to the spin–orbit coupling strength. Correspondingly, periphery half-skyrmion textures arise; this displacement can be reflected by the non-uniform magnetic moment in the <em>z</em> direction. With the manipulation of the external trap, the local magnitude of the non-uniform magnetic moment can be increased evidently. This kind of increase of the local magnetic moment is also observed in the square vortex lattice phase of the condensate.</p>
2013-06-27 00:00:00
plane wave phase
moment
square vortex lattice phase
displacement decreases
xy plane
atom number
quantum numbers
mathcal
periphery
calculations show
condensate
peak value
strength
z direction
Ground State
atom densities