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題名 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
貢獻者 應物所
關鍵詞 spin chains; ladders and planes (theory); finite-size scaling; Entanglement in extended quantum systems (theory)
日期 2008.08
上傳時間 6-May-2014 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)
資料類型 article
DOI http://dx.doi.org/10.1088/1742-5468/2008/06/P06004
dc.contributor 應物所en_US
dc.creator (作者) 林瑜琤zh_TW
dc.creator (作者) Lin, Yu-Chengen_US
dc.date (日期) 2008.08en_US
dc.date.accessioned 6-May-2014 11:31:16 (UTC+8)-
dc.date.available 6-May-2014 11:31:16 (UTC+8)-
dc.date.issued (上傳時間) 6-May-2014 11:31:16 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/65817-
dc.description.abstract (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.en_US
dc.format.extent 124 bytes-
dc.format.mimetype text/html-
dc.language.iso en_US-
dc.relation (關聯) Journal of Statistical Mechanics: Theory and Experiment, 2008(06), 06004(1-18)en_US
dc.subject (關鍵詞) spin chains; ladders and planes (theory); finite-size scaling; Entanglement in extended quantum systems (theory)en_US
dc.title (題名) Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplingsen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1088/1742-5468/2008/06/P06004en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1088/1742-5468/2008/06/P06004 en_US