量子自旋管的基态保真度和张量网络态
Ground-state fidelity and tensor network states for quantum spin tubes
摘要：
在张量网络表示的背景下，发展了一种有效的量子自旋管算法。它允许有效地计算每个晶格位置的基态保真度，这反过来又使我们能够识别量子临界点，在量子自旋管进行量子相变。作为例子，我们研究了等腰自旋1/2反铁磁三腿海森堡管。我们的模拟结果表明，两个Kosterlitz无跃迁发生的程度的不对称的横档相互作用的调谐，从而提供了一个替代的路线走向解决冲突的结果在这个问题上所产生的密度矩阵重整化群。
英文摘要：
An efficient algorithm is developed for quantum spin tubes in the context of the tensor network representations. It allows to efficiently compute the ground-state fidelity per lattice site, which in turn enables us to identify quantum critical points, at which quantum spin tubes undergo quantum phase transitions. As an illustration, we investigate the isosceles spin 1/2 antiferromagnetic three-leg Heisenberg tube. Our simulation results suggest that two Kosterlitz-Thouless transitions occur as the degree of asymmetry of the rung interaction is tuned, thus offering an alternative route towards a resolution to the conflicting results on this issue arising from the density matrix renormalization group.
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