Original Articles |
|
|
|
|
Entanglement in One-Dimensional Anderson Model with Long-Range Correlated Disorder |
GUO Zi-Zheng |
College of Physics and Electronic Information, Inner Mongolia Normal University, Hohhot 010022 |
|
Cite this article: |
GUO Zi-Zheng 2008 Chin. Phys. Lett. 25 1079-1082 |
|
|
Abstract By using the measure of concurrence, the entanglement of the ground state in the one-dimensional Anderson model is studied with consideration of the long-range correlations. Three kinds of correlations are discussed. We compare the effects of the long-rang Gaussian and power-law correlations between the site energies on the concurrence, and demonstrate the existence of the band structure of the concurrence in the power-law case. The emergence of the sharp kink on the concurrence curve shown in the intraband or in the interband indicates the position at which the localization extent of the state may have the severe variation. We use the Rudin--Shapiro model to describe the site energy distribution of the nucleotides of the DNA chain: guanine (G), adenine (A), cytosine(C), thymine (T). This model is a tetradic quasiperiodic sequence and is shown to be long-range correlated. Our results show that correlations between the site energies increase the concurrences.
|
Keywords:
71.23.An
72.15.Rn
03.67.Mn
|
|
Received: 12 November 2007
Published: 27 February 2008
|
|
PACS: |
71.23.An
|
(Theories and models; localized states)
|
|
72.15.Rn
|
(Localization effects (Anderson or weak localization))
|
|
03.67.Mn
|
(Entanglement measures, witnesses, and other characterizations)
|
|
|
|
|
[1]Anderson P W 1958 Phys. Rev. 109 1492 [2] John S et al 1983 Phys. Rev. B 27 5592 [3] John S and Stephen M J 1983 Phys. Rev. B 286358 [4] John S 1984 Phys. Rev. Lett. 53 2169 [5] Genack A Z and Garcia N 1991 Phys. Rev. Lett. 66 2064 [6] Schwartz T et al 2007 Nature 446 52. [7] Li H Bin and Wang X G 2005 Mod. Phys. Lett. B 19 517 [8] Gong L Y and Tong P Q 2006 Phys. Rev. E 74056103 [9] Gong L Y and Tong P Q 2005 Phys. Rev. A 71042333 [10] Carpena P et al 2002 Nature 418 955 [11] de Moura F A B F et al 1998 Phys. Rev. Lett. 81 3735 [12] Yamada H 2004 Phys.Rev. B 69 014205 [13] Potempa H and Schweitzer L 2002 Phys. Rev. B 65 201105 [14] Peng C-K et al 1992 Nature 356 168 [15] Melin R and Igloi F 2006 Phys. Rev. B 74155106 [16] Deych L I et al 2003 Physica B 338 79 [17] Makse H A et al 1996 Phys. Rev. E 53 5445 [18] Koschny T and Schweitzer L 2002 Physica E 12654 [19] Dunlap H D et al 1990 Phys. Rev. Lett. 65 88 [20] Unge M and Stafstrom S 2003 Synthetic Metals 139 239 [21] Endres R G et al 2004 Rev. Mod. Phys. 76 195 [22] Roche S 2003 Phys. Rev. Lett. 91 108101 [23] Albuquerque E L et al 2005 Phys. Rev. E 71021910 [24] Albuquerque E L et al 2006 Physica A 370 625 [25]http://www.netlib.org/lapack/. [26] Siber A 2006 Am. J. Phys. 74 692 [27] Lakshminarayan A et al 2003 Phys. Rev. A 67052304 [28]Shima H et al 2004 Phys. Rev. B 70 075116 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|