一维量子罗盘模型中的多临界性和纠缠
Multicriticality and entanglement in the one-dimensional quantum compass model
摘要:
通过精确映射到量子伊辛模型,研究了具有两个独立参数的一维量子罗盘模型.这使我们能够发现隐藏的功能,在普通的单参数量子罗盘模型的量子相变,表明它发生在一个多临界点,一个线的一阶跃迁相交线的二阶伊辛型破缺跃迁。我们计算了四个基态相的纠缠度和块纠缠熵,发现这些纠缠度量准确地反映了二阶跃迁,而不是一阶跃迁.
英文摘要:
We study the one-dimensional (1D) quantum compass model with two independent parameters by means of an exact mapping to the quantum Ising model. This allows us to uncover hidden features of the quantum phase transition in the ordinary one-parameter quantum compass model, showing that it occurs at a multicritical point where a line of first-order transitions intersects a line of second-order symmetry-breaking transitions of Ising type. We calculate the concurrence and the block entanglement entropy in the four ground state phases, and find that these entanglement measures accurately signal the second-order, but not the first-order, transitions.
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