Symmetry classification of spin-orbit-coupled spinor Bose-Einstein condensates

Symmetry classification of spin-orbit-coupled spinor Bose-Einstein condensates
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自旋轨道耦合旋子玻色-爱因斯坦凝聚的对称性分类

DOI:
10.1103/physreva.86.033628
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发表时间:
2012-03
期刊:
影响因子:
2.9
通讯作者:
Ueda, M.
Ueda, M.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Xu, Z. F.;Kawaguchi, Y.;You, L.;Ueda, M.

文献摘要

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我们发展了一个对称性分类方案来寻找赝自旋1/2、自旋1和自旋2自旋-轨道耦合旋量玻色-爱因斯坦凝聚的基态,并表明当自旋和空间同时旋转的SO(2)对称性被打破为离散的循环群时,在没有晶格势的情况下出现了各种类型的晶格结构,实例包括用于赝自旋1/2凝聚的两种不同的Kagaome晶格和其中单轴和双轴自旋织构交替排列用于自旋2凝聚的双涡旋晶格。对于自旋为1/2的赝体系,虽然平均场态总是破坏时间反演对称性,但存在一个时间反演不变的多体基态,它是碎裂的,有望在微凝聚体中观测到.
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 broken into discrete cyclic groups, various types of lattice structures emerge in the absence of a lattice potential, examples include two different kagaome lattices for pseudo spin-1/2 condensates and a nematic vortex lattice in which uniaxial and biaxial spin textures align alternatively for spin-2 condensates. For the pseudo spin-1/2 system, although mean-field states always break time-reversal symmetry, there exists a time-reversal invariant many-body ground state, which is fragmented and expected to be observed in a micro-condensate.