D-膜上的全息约瑟夫森结和Berry全息
Holographic Josephson Junctions and Berry holonomy from D-branes
摘要:
我们构造了一个Dp膜与D(p+2)膜相交的缺陷系统的约瑟夫森结的全息模型。除了提供全息对偶的几何图像之外,这使我们很自然地提出用膜的拓扑性质来表征非阿贝尔约瑟夫森结的可能性。缺陷两侧Dp膜端点位置的差异转化为约瑟夫森结中凝聚态的相位差。我们还在D(p+2)膜上增加一个磁通量,并使它在磁通量空间中沿着一条闭合曲线演化,同时产生一个非平凡的Berry holonomy.
英文摘要:
We construct a holographic model for Josephson junctions with a defect system of a Dp brane intersecting a D(p+2) brane. In addition to providing a geometrical picture for the holographic dual, this leads us very naturally to suggest the possibility of non-Abelian Josephson junctions characterized in terms of the topological properties of the branes. The difference between the locations of the endpoints of the Dp brane on either side of the defect translates into the phase difference of the condensate in the Josephson junction. We also add a magnetic flux on the D(p+2) brane and allow it evolve adiabatically along a closed curve in the space of the magnetic flux, while generating a non-trivial Berry holonomy.
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