|
|
Quantum phase transition and entanglement in Heisenberg XX spin chain with impurity |
Chen Shi-Rong(陈士荣), Xia Yun-Jie(夏云杰)†, and Man Zhong-Xiao(满忠晓) |
Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China |
|
|
Abstract In this paper, we study the quantum phase transition and the effect of impurity on the thermal entanglement between any two lattices in three-qubit Heisenberg XX chain in a uniform magnetic field. We show that the quantum phase transition always appears when impurity parameter is an arbitrary constant and unequal to zero, the external magnetic field and impurity parameters have a great effect on it. Also, there exists a relation between the quantum phase transition and the entanglement. By modulating the temperature, magnetic field and the impurity parameters, the entanglement between any two lattices can exhibit platform-like behaviour, which can be used to realize entanglement switch.
|
Received: 09 September 2009
Revised: 12 November 2009
Accepted manuscript online:
|
PACS:
|
73.43.Nq
|
(Quantum phase transitions)
|
|
75.10.Jm
|
(Quantized spin models, including quantum spin frustration)
|
|
75.10.Pq
|
(Spin chain models)
|
|
03.65.Ud
|
(Entanglement and quantum nonlocality)
|
|
75.30.Hx
|
(Magnetic impurity interactions)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10774088), the Key Program of the National Natural Science Foundation of China (Grant No.~10534030). |
Cite this article:
Chen Shi-Rong(陈士荣), Xia Yun-Jie(夏云杰), and Man Zhong-Xiao(满忠晓) Quantum phase transition and entanglement in Heisenberg XX spin chain with impurity 2010 Chin. Phys. B 19 050304
|
[1] |
Bennett C H, Brassaro G, Crepeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
|
[2] |
Kim Y H, Kulik S P and Shih Y 2001 Phys. Rev. Lett. 86 1370
|
[3] |
Cheng W W, Huang Y X, Liu T K and Li H 2007 Chin. Phys. 16 38
|
[4] |
Shan C J, Man Z X, Xia Y J and Liu T K 2007 Int. J. Quantum Information 5 335
|
[5] |
Ekert A K 1991 Phys. Rev. Lett. 67 661
|
[6] |
Wooters W K and Zurek W H 1982 Nature 299 802 (in London)
|
[7] |
Loss D and Divincenzo D P 1998 Phys. Rev. A 57 120
|
[8] |
Kane B E 1998 Nature (London) 393 133
|
[9] |
Sorensen A and Molmer K 1999 Phys. Rev. Lett. 82 4556
|
[10] |
Wu Y and Machta J 2005 Phys. Rev. Lett. 95 137208[10a] Cincio L, Dziarmaga J, Rams M M and Zurek W H 2007 Phys. Rev. A 75 052321[10b] Karthik J, Sharma A and Lakshminarayan A 2007 Phys. Rev. A 75 022304[10c] Su S Q, Song Q L and Gu S J 2006 Phys. Rev. A 74 032308
|
[11] |
Guo K T and Fu L P 2008 Acta Sinica Quantum Optica 14 1[11a] Venuti L C, Giampaolo S M, Illuminati F and Zanardi P 2007 Phys. Rev. A 76 052328[11b] Eisler V and Zimbor\'{as Z 2005 Phys. Rev. A 71 042318[11c] Cao M and Zhu S Q 2005 Phys. Rev. A 71 034311[11d] Wang X G 2002 Phys. Rev. A 66 034302
|
[12] |
Wang X G 2001 Phys. Rev. A 64 012313
|
[13] |
Sun Y, Chen Y G and Chen H 2003 Phys. Rev. A 68 044301
|
[14] |
Li S B and Xu J B 2003 Phys. Lett. A 311 313
|
[15] |
Zhou L, Song H S, Guo Y Q and Li C 2003 Phys. Rev. A 68 024301
|
[16] |
Cheng W W, Huang Y X, Liu T K and Li H 2007 Physica E 39 150
|
[17] |
Fu H C, Solomon A I and Wang X G 2002 J. Phys. A 35 4293
|
[18] |
Zhang T, Xi X Q and Yue R H 2004 Acta Phys. Sin. 53 2755 (in Chinese)
|
[19] |
Wang X G and Molmer K 2002 Eur. Phys. J. D 18 385
|
[20] |
Wang X G, Fu H C and Solomon A I 2001 J. Phys. A 34 11307
|
[21] |
Xi X Q, Hao S R, Chen W X and Yue R H 2002 Phys. Lett. A 297 291
|
[22] |
Vertraete F, Martin-Delgado M A and Cirac J I 2004 Phys. Rev. Lett. 92 087201
|
[23] |
Shan C J, Cheng W W, Liu T K, Huang Y X and Li H 2008 Chin. Phys. B 17 0794[23a]Shan C J, Cheng W W, Liu T K, Huang Y X and Li H 2008 Chin. Phys. Lett. 25 817
|
[24] |
Vidal G, Latorre J I, Rico E and Kitaev A 2003 Phys. Rev. Lett. 90 227902 [24a] Osborne T J and Nielsen M A 2002 Phys. Rev. A 66 032110[24b] Yang M F 2005 Phys. Rev. A 71 030302[24c] Ren J and Zhu S Q 2009 Phys. Rev. A 79 034302
|
[25] |
Roscilde T, Verrucchi P, Fubini A, Haas S and Tognetti V 2005 Phys. Rev. Lett. 94 147208[25a] Wu L A, Sarandy M S, Lidar D A and Sham L J 2006 Phys. Rev. A 74 052335[25b] Somma R, Ortiz G, Barnum H, Knill E and Viola L 2004 Phys. Rev. A 70 042311[25c] Peng X H, Du J F and Suter D 2005 Phys. Rev. A 71 012307
|
[26] |
Wootters W K 1998 Phys. Rev. Lett. 80 2245
|
[27] |
Hill S and Wootters W K 1997 Phys. Rev. Lett. 78 5022[27a] Coffman V, Kundu J and Wootters W K 2000 Phys. Rev. A 61 052306
|
[28] |
Nielsen M A 1998 Quantum Information Theory (American: University of New Mexico)
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|