政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/65817

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政大機構典藏 > 理學院 > 應用物理研究所 > 期刊論文 > Item 140.119/65817

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/65817

Title:	Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
Authors:	林瑜琤 Lin, Yu-Cheng
Contributors:	應物所
Keywords:	spin chains;ladders and planes (theory);finite-size scaling;Entanglement in extended quantum systems (theory)
Date:	2008.08
Issue Date:	2014-05-06 11:31:16 (UTC+8)
Abstract:	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.
Relation:	Journal of Statistical Mechanics: Theory and Experiment, 2008(06), 06004(1-18)
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1088/1742-5468/2008/06/P06004
DOI:	10.1088/1742-5468/2008/06/P06004
Appears in Collections:	[應用物理研究所 ] 期刊論文

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