|
|
|
Induced modification of geometric phase of a qubit coupled to an XY spin chain by the Dzyaloshinsky–Moriya interaction |
| Zhang Ai-Ping (张爱萍)a b c, Li Fu-Li (李福利)a b |
a Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter of Ministry of Education,Xi'an Jiaotong University, Xi'an 710049, China;
b Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049, China;
c Department of Physics, Xi'an University of Architecture and Technology, Xi'an 710055, China |
|
|
|
|
Abstract We consider a qubit symmetrically and transversely coupled to an XY spin chain with Dzyaloshinsky–Moriya (DM) interaction in the presence of a transverse magnetic field. An analytical expression for the geometric phase of the qubit is obtained in the weak coupling limit. We find that the modification of the geometrical phase induced by the spin chain environment is greatly enhanced by the DM interaction in the weak coupling limit around the quantum phase transition point of the spin chain.
|
Received: 11 July 2012
Revised: 16 August 2012
Accepted manuscript online:
|
|
PACS:
|
03.65.Vf
|
(Phases: geometric; dynamic or topological)
|
| |
03.65.Yz
|
(Decoherence; open systems; quantum statistical methods)
|
| |
75.10.Pq
|
(Spin chain models)
|
|
| Fund: Project supported by the National Basic Research Program of China (Grant No. 2010CB923102), the Special Prophase Project on the National Basic Research Program of China (Grant No. 2011CB311807), and the National Natural Science Foundation of China (Grant No. 11074199). |
Corresponding Authors:
Zhang Ai-Ping
E-mail: apzhang163@163.com
|
Cite this article:
Zhang Ai-Ping (张爱萍), Li Fu-Li (李福利) Induced modification of geometric phase of a qubit coupled to an XY spin chain by the Dzyaloshinsky–Moriya interaction 2013 Chin. Phys. B 22 030308
|
| [1] |
Berry M V 1984 Proc. R. Soc. Lond., Ser. A 392 45
|
| [2] |
Aharonov Y and Anandan J 1987 Phys. Rev. Lett. 58 1593
|
| [3] |
Samuel J and Bhandari R 1988 Phys. Rev. Lett. 60 2339
|
| [4] |
Pati A K 1995 Phys. Rev. A 52 2576
|
| [5] |
Uhlmann A 1986 Rep. Math. Phys. 24 229
|
| [6] |
Uhlmann A 1991 Lett. Math. Phys. 21 229
|
| [7] |
Singh K, Tong D M, Basu K, Chen J L and Du J F 2003 Phys. Rev. A 67 032106
|
| [8] |
Zanardi P and Rasetti M 1999 Phys. Rev. A 264 94
|
| [9] |
Zhu S L and Zanardi P 2005 Phys. Rev. A 72 020301
|
| [10] |
Duan L M, Cirac J I and Zoller P 2001 Science 292 1695
|
| [11] |
Sachdev S 1999 Quantum Phase Transition (Cambridge: Cambridge University Press)
|
| [12] |
Carollo A C M and Pachos J K 2005 Phys. Rev. Lett. 95 157203
|
| [13] |
Yi X X and Wang W 2007 Phys. Rev. A 75 032103
|
| [14] |
Ma Y Q and Chen S 2009 Phys. Rev. A 79 022116
|
| [15] |
Nesterov A I and Ovchinnikov S G 2008 Phys. Rev. E 78 015202
|
| [16] |
Zhu S L 2006 Phys. Rev. Lett. 96 077206
|
| [17] |
Yuan X Z, Goan H S and Zhu K D 2010 Phys. Rev. A 81 034102
|
| [18] |
Venuti L C and Zanardi P 2007 Phys. Rev. Lett. 99 095701
|
| [19] |
Sjöqvist E, Pati A K, Ekert A, Anandan J S, Ericsson M, Oi D K L and Vedrel V 2000 Phys. Rev. Lett. 85 2845
|
| [20] |
Carollo A, Fuentes-Guridi I, Santos M F and Vedral V 2003 Phys. Rev. Lett. 90 160402
|
| [21] |
Tong D M, Sjöqvist E, Kwek L C and Oh C H 2004 Phys. Rev. Lett. 93 080405
|
| [22] |
Lombardo F C and Villar P I 2006 Phys. Rev. A 74 042311
|
| [23] |
Cuchietti F M, Zhang J F, Lombardo F C, Villar P I and Laflamme R 2010 Phys. Rev. Lett. 105 240406
|
| [24] |
Dzyaloshinsky I 1958 J. Phys. Chem. Solids. 4 241
|
| [25] |
Moriya T 1960 Phys. Rev. Lett. 4 228
|
| [26] |
Cheng W W and Liu J M 2009 Phys. Rev. A 79 052320
|
| [27] |
Li Z J, Cheng L and Wen J J 2010 Chin. Phys. B 19 010305
|
| [28] |
Wang L C, Yan J Y and Yi X X 2010 Chin. Phys. B 19 040512
|
| [29] |
Quan H T, Song Z and Liu X F 2007 Phys. Rev. A 75 062312
|
| [30] |
Yuan Z G, Zhang P and Li S S 2007 Phys. Rev. A 76 042118
|
| [31] |
Nielsen M and Chuang I 2000 Qantum Computation and Quantum Information (Cambridge: Cambridge University Press)
|
| 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
|
|
|
