Bose-Einstein Condensates in Non-abelian Gauge Fields
Bose-Einstein Condensates in Non-abelian Gauge Fields
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发表时间：
2010-07
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通讯作者：
T. Ho;Shizhong Zhang
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作者：
T. Ho;Shizhong Zhang
NIST小组最近成功地在冷原子中产生了阿贝尔规范场，这为利用原子气体模拟固体中的电子输运创造了机会。最近，NIST小组还在DARPA的一次会议上宣布，在一种伪自旋1/2玻色气体中创建了非阿贝尔规范场。虽然在合成规范场方面已经有了相当多的理论活动，但到目前为止还没有产生非阿贝尔场。在这里，我们证明了在非阿贝尔规范场中，旋量凝聚体将在每个自旋分量中发展出自发条纹结构，反映由两个具有不同动量的非正交修饰态组成的基态。根据相互作用的不同，这种基态可以还原为单一的修饰态。这些携带动量的条纹是当今电子物理学中活跃研究的费米子中自旋轨道现象的宏观玻色子对应。
The recent success of the NIST group in generating abelian gauge field in cold atoms has created opportunities to simulate electronic transports in solids using atomic gases. Very recently, the NIST group has also announced in a DARPA Meeting the creation of non-abelian gauge fields in a pseudo spin-1/2 Bose gas. While there have been considerable theoretical activities in synthetic gauge fields, non-abelian fields have not been generated until now. Here, we show that in a non-abelian gauge field, a spinor condensate will develop a spontaneous stripe structure in each spin component, reflecting a ground state made up of two non-orthogonal dressed states with different momenta. Depending on interactions, this ground state can reduce back to a single dressed state. These momentum carrying stripes are the {\em macroscopic} bosonic counterpart of the spin-orbit phenomena in fermions that are being actively studied in electron physics today.