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    题名: Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
    作者: 林瑜琤
    Lin, Yu-Cheng
    贡献者: 應物所
    关键词: spin chains;ladders and planes (theory);finite-size scaling;Entanglement in extended quantum systems (theory)
    日期: 2008.08
    上传时间: 2014-05-06 11:31:16 (UTC+8)
    摘要: Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random. We carry out a systematic study of finite-size effects at the quantum critical point, and evaluate subleading corrections both for open and for periodic boundary conditions. For a block corresponding to a half of a finite chain, the position of the maximum of the entropy as a function of the control parameter (e.g. the transverse field) can define the effective critical point in the finite sample. On the basis of homogeneous chains, we demonstrate that the scaling behavior of the entropy near the quantum phase transition is in agreement with the universality hypothesis, and calculate the shift of the effective critical point, which has different scaling behaviors for open and for periodic boundary conditions.
    關聯: Journal of Statistical Mechanics: Theory and Experiment, 2008(06), 06004(1-18)
    数据类型: article
    DOI 連結: http://dx.doi.org/10.1088/1742-5468/2008/06/P06004
    DOI: 10.1088/1742-5468/2008/06/P06004
    显示于类别:[應用物理研究所 ] 期刊論文

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