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arXiv 1607.07016cond-mat.stat-mechcond-mat.str-el
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共形场论中形成几率标度和Casimir效应的有限尺寸修正

Finite size corrections to scaling of the formation probabilities and the Casimir effect in the conformal field theories

M. A. Rajabpour

摘要:

利用共形场论(CFT)方法计算了有限尺寸量子临界链基态的形成几率。特别地,我们计算了有限开链中一个区间的形成概率和有限周期系统中两个不相交区间的形成概率。所给出的公式也可以解释为特定几何形状的针状体的Casimir能量。我们数值检查的情况下,横向场伊辛链的准确CFT结果的有效性。

英文摘要:

We calculate formation probabilities of the ground state of the finite size quantum critical chains using conformal field theory (CFT) techniques. In particular, we calculate the formation probability of one interval in the finite open chain and also formation probability of two disjoint intervals in a finite periodic system. The presented formulas can be also interpreted as the Casimir energy of needles in particular geometries. We numerically check the validity of the exact CFT results in the case of the transverse field Ising chain.

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