Ground state entanglement in quantum spin chains
Ground state entanglement in quantum spin chains
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DOI：
10.5555/2011572.2011576
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发表时间：
2003-04
期刊：
影响因子：
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通讯作者：
J. Latorre;E. Rico;G. Vidal
中科院分区：
文献类型：
--
作者：
J. Latorre;E. Rico;G. Vidal
对XY和Heisenberg模型基态纠缠的微观计算表明，在量子相变中出现了普遍的标度行为，纠缠受共形对称性控制，远离临界点，纠缠以质量标度达到饱和。借用共形场论的结果，指出纠缠损失沿重正化群轨道沿着是不可逆的。纠缠在高维中不会饱和，这似乎限制了密度矩阵重整化群技术的成功。从我们的数值分析中可以看出优控化和重整化群不可逆性之间的一种可能的联系。
A microscopic calculation of ground state entanglement for the XY and Heisenbergmodels shows the emergence of universal scaling behavior at quantum phase transitions,Entanglement is thus controlled by conformal symmetry, Away from the critical point,entanglement gets saturated by a mass scale, Results borrowed from conformal fieldtheory imply irreversibility of entanglement loss along renormalization group trajecto-ries. Entanglement does not saturate in higher dimensions which appears to limit thesuccess of the density matrix renormalization group technique. A possible connection be-tween majorization and renormalization group irreversibility emerges from our numericalanalysis.