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Chin. Phys. B, 2015, Vol. 24(5): 050302    DOI: 10.1088/1674-1056/24/5/050302
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Rotation of Bloch sphere induced by Lamb shift in open two-level systems

Wang Guo-You (王国友)a b, Tang Ning (唐宁)a b, Liu Ying (刘颖)a b, Zeng Hao-Sheng (曾浩生)a b
a Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081, China;
b Department of Physics, Hunan Normal University, Changsha 410081, China
Abstract  

From a quite general form of the Lindblad-like master equation of open two-level systems (qubits), we study the effect of Lamb shift on the non-Markovian dynamics. We find that the Lamb shift can induce a non-uniform rotation of the Bloch sphere, but that it does not affect the non-Markovianity of the open system dynamics. We determine the optimal initial-state pairs that maximize the backflow of information for the considered master equation and find an interesting phenomenon–the sudden change of the non-Markovianity. We relate the dynamics to the evolution of the Bloch sphere to help us comprehend the obtained results.

Keywords:  non-Markovianity      Lamb shift      Bloch sphere  
Received:  21 September 2014      Revised:  08 December 2014      Accepted manuscript online: 
PACS:  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
  42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant Nos. 11275064 and 11075050), the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20124306110003), the Program for Changjiang Scholars and Innovative Research Team in University, China (Grant No. IRT0964), and the Construct Program of the National Key Discipline, China.

Corresponding Authors:  Zeng Hao-Sheng     E-mail:  hszeng@hunnu.edu.cn
About author:  03.65.Ta; 03.65.Yz; 42.50.Lc

Cite this article: 

Wang Guo-You (王国友), Tang Ning (唐宁), Liu Ying (刘颖), Zeng Hao-Sheng (曾浩生) Rotation of Bloch sphere induced by Lamb shift in open two-level systems 2015 Chin. Phys. B 24 050302

[1] Breuer H P and Petruccione F 2007 The Theory of Open Quantum Systems (Oxford: Oxford University Press)
[2] Kubota Y and Nobusada K 2009 J. Phys. Soc. Jpn. 78 114603
[3] Ji Y H and Hu J J 2010 Chin. Phys. B 19 060304
[4] Shao J 2004 J. Chem. Phys. 120 5053
[5] Chin A W, Datta A, Caruso F, Huelga S F and Plenio M B 2010 New J. Phys. 12 065002
[6] Chin A W, Huelga S F and Plenio M B 2012 Phys. Rev. Lett. 109 233601
[7] Vasile R, Olivares S, Paris M G A and Maniscalco S 2011 Phys. Rev. A 83 042321
[8] Breuer H P, Laine E M and Piilo J 2009 Phys. Rev. Lett. 103 210401
[9] Rivas Á, Huelga S F and Plenio M B 2010 Phys. Rev. Lett. 105 050403
[10] Wolf M M, Eisert J, Cubitt T S and Cirac J I 2008 Phys. Rev. Lett. 101 150402
[11] Usha D A R, Rajagopal A K and Sudha 2011 Phys. Rev. A 83 022109
[12] Lu X M, Wang X G and Sun C P 2010 Phys. Rev. A 82 042103
[13] Luo S, Fu S and Song H 2012 Phys. Rev. A 86 044101
[14] Gu W J and Li G X 2012 Phys. Rev. A 85 014101
[15] Yin X, Ma J, Wang X and Nori F 2012 Phys. Rev. A 86 012308
[16] Giraldi F and Petruccione F 2013 Phys. Rev. A 88 042102
[17] Clos G and Breuer H P 2012 Phys. Rev. A 86 012115
[18] Mäkelä H and Möttönen M 2013 Phys. Rev. A 88 052111
[19] Laine E M, Breuer H P, Piilo J, Li C F and Guo G C 2012 Phys. Rev. Lett. 108 210402
[20] Deffner S and Lutz E 2013 Phys. Rev. Lett. 111 010402
[21] Shen H Z, Qin M and Yi X X 2013 Phys. Rev. A 88 033835
[22] Zou C L, Chen X D, Xiong X, Sun F W, Zou X B, Han Z F and Guo G C 2013 Phys. Rev. A 88 063806
[23] Zeng H S, Zheng Y P, Tang N and Wang G Y 2013 Quantum Inf. Process 12 1637
[24] Huelga S F, Rivas Á and Plenio M B 2012 Phys. Rev. Lett. 108 160402
[25] Xue S B, Wu R B, Zhang W M, Zhang J, Li C W and Tarn T J 2012 Phys. Rev. A 86 052304
[26] Haikka P, Johnson T H and Maniscalco S 2013 Phys. Rev. A 87 010103
[27] Zhang Y J, Yang X Q, Han W and Xia Y J 2013 Chin. Phys. B 22 090307
[28] Wang X Y, Ding B F and Zhao H P 2013 Chin. Phys. B 22 020309
[29] Wang X Y, Ding B F and Zhao H P 2013 Chin. Phys. B 22 040308
[30] Xie D and Wang A M 2014 Chin. Phys. B 23 040302
[31] Xue P and Zhang Y S 2013 Chin. Phys. B 22 070302
[32] Liu X and Wu W 2014 Chin. Phys. B 23 070303
[33] Xu J S, Li C F, Gong M, Zou X B, Shi C H, Chen G and Guo G C 2010 Phys. Rev. Lett. 104 100502
[34] Liu B H, Li L, Huang Y F, Li C F, Guo G C, Laine E M, Breuer H P and Piilo J 2011 Nat. Phys. 7 931
[35] Tang J S, Li C F, Li Y L, Zou X B, Gou G C, Breuer H P, Laine E M and Piilo J 2012 Europhys. Lett. 97 10002
[36] He Z, Zou J, Li L and Shao B 2011 Phys. Rev. A 83 012108
[37] Xu Z Y, Yang W L and Feng M 2010 Phys. Rev. A 81 044105
[38] Wißmann S, Karlsson A, Laine E M, Piilo J and Breuer H P 2012 Phys. Rev. A 86 062108
[39] Lamb W E and Retherford R C 1947 Phys. Rev. 72 241
[40] Bethe H A 1947 Phys. Rev. 72 339
[41] Wang Q, Nie J J and Zeng H S 2013 Eur. Phys. J. D 67 151
[42] Tong Q J, An J H, Luo H G and Oh C H 2010 Phys. Rev. A 81 052330
[43] Feynman R P, Vernon F L and Hellwarth R W 1957 J. Appl. Phys. 28 49
[44] Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
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