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arXiv 1908.07848cond-mat.quant-gasnlin.PS
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二元玻色-爱因斯坦凝聚体中的相分离破缺涡格

Phase-separated symmetry-breaking vortex-lattice in a binary Bose-Einstein condensate

S. K. Adhikari

摘要:

研究了快速旋转的类二维玻色-爱因斯坦凝聚体中涡旋晶格的自发对称破缺和圆非对称相分离.在不同的空间区域出现了两个组分的相分离的涡旋晶格,两个组分的涡旋之间没有重叠,这将允许有效的实验观察这种涡旋和精确的研究原子相互作用对这种涡旋晶格的影响。当两种组分的种内相互作用能相等或几乎相等时,发生这种相分离,并且具有相对较强的种间排斥。当种内能量相等时,两个相分离的涡旋晶格具有相同的半圆形状,其中一个是另一个的宇称共轭。当物种内能量接近相等时,相分离也是完全的,但涡旋晶格具有不同的形状。我们证明了我们的索赔的平均场Gross-Pitaevskii方程的快速旋转准二维二元BEC的数值解。

英文摘要:

We study spontaneous-symmetry-breaking circularly-asymmetric phase separation of vortex lattices in a rapidly rotating harmonically-trapped quasi-two-dimensional (quasi-2D) binary Bose-Einstein condensate (BEC) with repulsive inter- and intra-species interactions. The phase separated vortex lattices of the components appear in different regions of space with no overlap between the vortices of the two components, which will permit an efficient experimental observation of such vortices and accurate study of the effect of atomic interaction on such vortex lattice. Such phase separation takes place when the intra-species interaction energies of the two components are equal or nearly equal with relatively strong inter-species repulsion. When the intra-species energies are equal, the two phase-separated vortex lattices have identical semicircular shapes with one being the parity conjugate of the other. When the intra-species energies are nearly equal, the phase separation is also complete but the vortex lattices have different shapes. We demonstrate our claim with a numerical solution of the mean-field Gross-Pitaevskii equation for a rapidly rotating quasi-2D binary BEC.

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