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摘要翻译：
我们推广了Vidal的无限时间演化分块抽取(iTEBD)算法的一个无限树几何，用于模拟无限长的量子自旋线。我们用矩阵积态ANSATZ数值研究了Bethe晶格上横场中的量子Ising模型。我们观察到一个二级相变，与无限自旋链上的横场Ising模型有一些关键的区别。我们还研究了具有特定纵向场的横向场Ising模型。当横向场关闭时，该模型具有高度简并的基态，而纯伊辛模型的基态只有加倍简并。
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英文标题：
《The Quantum Transverse Field Ising Model on an Infinite Tree from Matrix
Product States》
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作者：
Daniel Nagaj, Edward Farhi, Jeffrey Goldstone, Peter Shor, Igor
Sylvester
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Quantum Physics 量子物理学
分类描述：Description coming soon
描述即将到来
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英文摘要：
We give a generalization to an infinite tree geometry of Vidal's infinite time-evolving block decimation (iTEBD) algorithm for simulating an infinite line of quantum spins. We numerically investigate the quantum Ising model in a transverse field on the Bethe lattice using the Matrix Product State ansatz. We observe a second order phase transition, with certain key differences from the transverse field Ising model on an infinite spin chain. We also investigate a transverse field Ising model with a specific longitudinal field. When the transverse field is turned off, this model has a highly degenerate ground state as opposed to the pure Ising model whose ground state is only doubly degenerate.
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PDF链接：
https://arxiv.org/pdf/712.1806
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