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Chin. Phys. B, 2018, Vol. 27(1): 010303    DOI: 10.1088/1674-1056/27/1/010303
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Quantum speed limit time of a two-level atom under different quantum feedback control

Min Yu(余敏), Mao-Fa Fang(方卯发), Hong-Mei Zou(邹红梅)
Department of Physics, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

We investigate the quantum speed limit time (QSLT) of a two-level atom under quantum-jump-based feedback control or homodyne-based feedback control. Our results show that the two different feedback control schemes have different influences on the evolutionary speed. By adjusting the feedback parameters, the quantum-jump-based feedback control can induce speedup of the atomic evolution from an excited state, but the homodyne-based feedback control cannot change the evolutionary speed. Additionally, the QSLT for the whole dynamical process is explored. Under the quantum-jump-based feedback control, the QSLT displays oscillatory behaviors, which implies multiple speed-up and speed-down processes during the evolution. While, the homodyne-based feedback control can accelerate the speed-up process and improve the uniform speed in the uniform evolution process.

Keywords:  quantum speed limit time      quantum feedback control      speedup  
Received:  16 August 2017      Revised:  27 September 2017      Accepted manuscript online: 
PACS:  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
  03.67.Lx (Quantum computation architectures and implementations)  
  42.50.-p (Quantum optics)  

Project supported by the National Natural Science Foundation of China (Grant No. 11374096), Hunan Provincial Innovation Foundation for Postgraduate, China (Grant No. CX2017B177), and the Scientific Research Project of Hunan Provincial Education Department, China (Grant No. 16C0949).

Corresponding Authors:  Mao-Fa Fang     E-mail:

Cite this article: 

Min Yu(余敏), Mao-Fa Fang(方卯发), Hong-Mei Zou(邹红梅) Quantum speed limit time of a two-level atom under different quantum feedback control 2018 Chin. Phys. B 27 010303

[1] Bekenstein J D 1981 Phys. Rev. Lett. 46 623
[2] Lloyd S 2002 Phys. Rev. Lett. 88 237901
[3] Yung M H 2006 Phys. Rev. A 74 030303
[4] Giovanetti V, Lloyd S and Maccone L 2011 Nat. Photon. 5 222
[5] Chin A W, Huelga S F and Plenio M B 2012 Phys. Rev. Lett. 109 233601
[6] Hegerfeldt G C 2014 Phys. Rev. A 90 032110
[7] Avinadav C, Fischer R, London P and Gershoni D 2014 Phys. Rev. B 89 245311
[8] Mandelstam L and Tamm I 1945 J. Phys. (USSR) 9 249
[9] Margolus N and Levitin L B 1998 Physica D 120 188
[10] Deffner S and Lutz E 2013 Phys. Rev. Lett. 111 010402
[11] Zhang Y J, Han W, Xia Y J, Cao J P and Fan H 2014 Sci. Rep. 4 4890
[12] Xu Z Y and Zhu S Q 2014 Chin. Phys. Lett. 31 020301
[13] Han W, Jiang K X, Zhang Y J and Xia Y J 2015 Chin. Phys. B 24 120304
[14] He Z, Yao C M, Li L and Wang Q 2016 Chin. Phys. B 25 080304
[15] Xu Z Y, Luo S L, Yang W L, Liu C and Zhu S Q 2014 Phys. Rev. A 89 012307
[16] Zhang Y J, Han W, Xia Y J, Cao J P and Fan H 2015 Phys. Rev. A 91 032112
[17] Song Y J, Tan Q S and Kuang L M 2017 Sci. Rep. 7 43654
[18] Wu Y N, Wang J and Zhang H Z 2017 Quantum Inf. Process 16 22
[19] Wiseman H M and Milburn G J 1993 Phys. Rev. Lett. 70 548
[20] Wiseman H M 1994 Phys. Rev. A 49 2133
[21] Carvalho A R R, Reid A J S and Hope J J 2008 Phys. Rev. A 78 012334
[22] Shao X Q, Zheng T Y and Zhang S 2012 Phys. Rev. A 85 042308
[23] Shao X Q, Wang Z H, Liu H D and Yi X X 2016 Phys. Rev. A 94 032307
[24] Sun W M, Su S L, Jin Z, Liang Y, Zhu A D, Wang H F and Zhang S 2015 J. Opt. Soc. Am. B 32 1873
[25] Chen L, Wang H F, Zhang S 2013 J. Opt. Soc. Am. B 30 475
[26] Yu M and Fang M F 2016 Quantum Inf. Process 15 4175
[27] Li J G, Zou J, Shao B, Cai J F 2008 Phys. Rev. A 77 012339
[28] Li Y, Luo B and Guo H 2011 Phys. Rev. A 84 012316
[29] Wang J, Wiseman H M and Milburn G J 2005 Phys. Rev. A 71 042309
[30] Zheng Q, Ge L, Yao, Y and Zhi Q J 2015 Phys. Rev. A 91 033805
[31] Wang J and Wiseman H M 2001 Phys. Rev. A 64 063810
[32] Yamamoto N 2005 Phys. Rev. A 72 024104
[33] Ma S Q, Zhu H J and Zhang G F 2017 Phys. Lett. A 381 1386
[34] Wu S X, Zhang Y, Yu C S and Song H S 2015 J. Phys. A 48 045301
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