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Chin. Phys. B, 2017, Vol. 26(4): 047402    DOI: 10.1088/1674-1056/26/4/047402

Macroscopic resonant tunneling in an rf-SQUID flux qubit under a single-cycle sinusoidal driving

Jianxin Shi(史建新)1,2, Weiwei Xu(许伟伟)1, Guozhu Sun(孙国柱)1, Jian Chen(陈健)1, Lin Kang(康琳)1, Peiheng Wu(吴培亨)1
1 Research Institute of Superconductor Electronics(RISE), School of Electronic Science and Engineering, Nanjing University, Nanjing 210093, China;
2 Department of Electrical Engineering and Optoelectronic Technology, Nanjing University of Science and Technology Zijin College, Nanjing 210046, China

We experimentally demonstrate the observation of macroscopic resonant tunneling (MRT) phenomenon of the macroscopic distinct flux states in a radio frequency superconducting quantum interference device (rf-SQUID) under a single-cycle sinusoidal driving. The population of the qubit exhibits interference patterns corresponding to resonant tunneling peaks between states in the adjacent potential wells. The dynamics of the qubit depends significantly on the amplitude, frequency, and initial phase of the driving signal. We do the numerical simulations considering the intra-well and inter-well relaxation mechanism, which agree well with the experimental results. This approach provides an effective way to manipulate the qubit population by adjusting the parameters of the external driving field.

Keywords:  superconducting quantum interference device (SQUID)      macroscopic resonant tunneling (MRT)      Landau-Zener transition  
Received:  31 October 2016      Revised:  18 January 2017      Accepted manuscript online: 
PACS:  74.40.Kb (Quantum critical phenomena)  
  74.50.+r (Tunneling phenomena; Josephson effects)  

Project supported by the National Natural Science Foundation of China (Grant Nos. 11474154, 61371036, 61571219, 11227904, and 61501222) and the Natural Science Fund for Distinguished Young Scholars of Jiangsu Province, China (Grant No. BK2012013) and PAPD.

Corresponding Authors:  Weiwei Xu, Guozhu Sun     E-mail:;

Cite this article: 

Jianxin Shi(史建新), Weiwei Xu(许伟伟), Guozhu Sun(孙国柱), Jian Chen(陈健), Lin Kang(康琳), Peiheng Wu(吴培亨) Macroscopic resonant tunneling in an rf-SQUID flux qubit under a single-cycle sinusoidal driving 2017 Chin. Phys. B 26 047402

[1] Noriyuki H and Susumu K 1987 Jpn. J. Appl. Phys. 26 1413
[2] Cleland A N, Martinis J M and Clarke J 1988 Phys. Rev. B 37 5950
[3] Schmidt J M, Cleland A N and Clarke J 1991 Phys. Rev. B 43 229
[4] Yu Y, Han S, Chu X, Chu S I and Wang Z 2002 Science 296 889
[5] Barone A, Kurizki G and Kofman A G 2004 Phys. Rev. Lett. 92 200403
[6] Yu Y, Janice D N, Lee C, Bhuwan Singh, Crankshaw D S, Orlando T P, Berggren K K and Oliver W D 2004 Phys. Rev. Lett. 92 117904
[7] Johnson P R, Parsons W T, Strauch F W, Anderson J R, Dragt A J, Lobb C J and Wellstood F C 2005 Phys. Rev. Lett. 94 187004
[8] Rouse R, Han S and Lukens J E 1995 Phys. Rev. Lett. 75 1614
[9] Han S, Rouse R and Lukens J E 1996 Phys. Rev. Lett. 76 3404
[10] Silvestrini P, Ruggiero B and Ovchinnikov Y N 1996 Phys. Rev. B 54 1246
[11] Esposito A, Granata C, Ovchinnikov Y N, Ruggiero B, Russo M and Silvestrini P 1997 Il Nuovo Cimento D 19 1435
[12] Averin D V, Friedman J R and Lukens J E 2000 Phys. Rev. B 62 11802
[13] Han S, Rouse R and Lukens J E 2000 Phys. Rev. Lett. 84 1300
[14] Granata C, Corato V, Longobardi L, Russo M, Ruggiero B and Silvestrini P 2002 Physica C: Superconductivity 372-376 Part 1 185
[15] Li S X, Yu Y, Zhang Y, Qiu W, Han S and Wang Z 2002 Phys. Rev. Lett. 89 098301
[16] Yang Y, Yu Z, Wei Q, Shaoxiong L, Siyuan H and Zhen W 2002 Supercond. Sci. Technol. 15 555
[17] Ovchinnikov Y N, Silvestrini P, Corato V and Rombetto S 2005 Phys. Rev. B 71 024529
[18] Rombetto S, Corato V, Yu N O, Ruggiero B and Silvestrini P 2006 J. Phys. Conf. Ser. 43 1195
[19] Ankerhold J and Grabert H 2003 Phys. Rev. Lett. 91 016803
[20] Ithier G, Collin E, Joyez P, Vion D, Esteve D, Ankerhold J and Grabert H 2005 Phys. Rev. Lett. 94 057004
[21] Fistul M V 2015 Phys. Rev. B 92 014505
[22] Amin M H S and Averin D V 2008 Phys. Rev. Lett. 100 197001
[23] Harris R, Johnson M W, Han S, Berkley A J, Johansson J, Bunyk P, Ladizinsky E, Govorkov S, Thom M C, Uchaikin S, Bumble B, Fung A, Kaul A, Kleinsasser A, Amin M H S and Averin D V 2008 Phys. Rev. Lett. 101 117003
[24] Johansson J, Amin M H S, Berkley A J, Bunyk P, Choi V, Harris R, Johnson M W, Lanting T M, Lloyd S and Rose G 2009 Phys. Rev. B 80 012507
[25] Lanting T, Amin M H S, Johnson M W, Altomare F, Berkley A J, Gildert S, Harris R, Johansson J, Bunyk P, Ladizinsky E, Tolkacheva E and Averin D V 2011 Phys. Rev. B 83 180502
[26] Cong S H, Wang Y W, Sun G Z, Chen J, Yu Y and Wu P H 2011 Chin. Phys. B 20 050316
[27] Sun G, Wen X, Wang Y, Cong S, Chen J, Kang L, Xu W, Yu Y, Han S and Wu P 2009 Appl. Phys. Lett. 94 102502
[28] Sun G, Zhai J, Wen X, Yu Y, Kang L, Xu W, Chen J, Wu P and Han S 2015 Appl. Phys. Lett. 106 172602
[29] Han S 2009 Prog. Phys. 29 166 (in Chinese)
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