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arXiv 1003.5863quant-phcond-mat.mes-hall
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边界对自旋链中自旋放大的巨大影响

Large effects of boundaries on spin amplification in spin chains

Benoit Roubert, Peter Braun, Daniel Braun

摘要:

研究了边界条件对自旋链中自旋放大的影响。我们表明,边界的动力学起着至关重要的作用:第一个和最后一个自旋之间的一个额外的耦合可以宏观上修改的物理行为相比,开放的链,即使在无限长的链的限制。我们表明,这种效果可以理解的“分叉”在希尔伯特空间,可以访问希尔伯特空间的不同部分与宏观上不同的物理性质的基函数,根据边界条件。在技术方面,我们介绍了半经典的方法,其精度随着链长的增加而增加,并允许我们分析证明在热力学极限的边界的影响。

英文摘要:

We investigate the effect of boundary conditions on spin amplification in spin chains. We show that the boundaries play a crucial role for the dynamics: A single additional coupling between the first and last spins can macroscopically modify the physical behavior compared to the open chain, even in the limit of infinitely long chains. We show that this effect can be understood in terms of a "bifurcation" in Hilbert space that can give access to different parts of Hilbert space with macroscopically different physical properties of the basis functions, depending on the boundary conditions. On the technical side, we introduce semiclassical methods whose precision increase with increasing chain length and allow us to analytically demonstrate the effects of the boundaries in the thermodynamic limit.

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