Abstract
We describe a method of controlled creation and detection of breathers in long Josephson Junctions. We show how a breather can be detected and investigated by measuring switching of the current biased Josephson junction to a resistive state. The complete theoretical description of the switching events associated with the decay of a breather into a fluxon-antifluxon pair is developed. Eventually, we propose several designs of the systems where breathers can be observed.
Similar content being viewed by others
References
A. Barone, G. Paternó, Physics and Applications of Josephson Effect (Wiley, New York, 1982)
R. Rajaraman, Solitons and Instantons: an Introduction to Solitons and Instantons In Quantum Field Theory (Amsterdam, Oxford, North-Holland, 1982)
V.I. Karpman, N.A. Ryabova, V.V. Solov’ev, Phys. Lett. 92, 255 (1982)
M. Inoue, S.G. Chung, J. Phys. Soc. Jpn 46, 1594 (1979)
M. Inoue, J. Phys. Soc. Jpn 47, 1723 (1979)
V.I. Karpman, Phys. Lett. A 88, 207 (1982)
D.W. McLaughlin, E.A. Overman II, Phys. Rev. A 26, 3497 (1982)
A.R. Bishop et al., Phys. Rev. Lett. 50, 1095 (1983)
P.S. Lomdahl, M.R. Samuelsen, Phys. Rev. A 34, 664 (1986)
N. Grønbech-Jensen, Yu. S. Kivshar, M.R. Samuelsen, Phys. Rev. B 43, 5698 (1991)
R. Grauer, Yu.S. Kivshar, Phys. Rev. E 48, 4791 (1993)
O.H. Olsen, M.R. Samuelsen, J. Appl. Phys. 52, 2913 (1981)
G. Costabile, R.D. Parmentier, B. Savo, D.W. Mc Laughlin, A.C. Scott, Appl. Phys. Lett. 32, 587 (1978)
J.I. Ramos, Appl. Math. Comput. 124, 45 (2001)
K. Forinash, C.R. Willis, Physica D 149, 95 (2001)
P.G. Kevrekidis, A. Saxena, A.R. Bishop, Phys. Rev. E 64, 026613 (2001)
P.S. Lomdahl, O.H. Olsen, M.R. Samuelsen, Phys. Rev. A 29, 350 (1984)
R.F. Dashen, B. Hasslacher, A. Neveu, Phys. Rev. D 11, 3424 (1975)
K. Maki, H. Takayama, Phys. Rev. B 20, 5002 (1979)
D.W. McLaughlin, A.C. Scott, Phys. Rev. A 18, 1652 (1978)
A. Wallraff et al., Nature 425, 155 (2003)
D.R. Gulevich, F.V. Kusmartsev, Physica C 435, 87 (2006)
D.R. Gulevich, F.V. Kusmartsev, Phys. Rev. B 74, 214303 (2006)
D. Henderson, A.G. Roddle, Meas. Sci. Technol. 1, 673 (1990)
Y. Nakamura, Yu.A. Pashkin, J.S. Tsai, Nature 398, 786 (1999)
A. Wallraff et al., Rev. Sci. Instrum. 74, 3740 (2003)
E.B. Goldobin et al., Cryogenics ICEC Suppl. 32, 549 (1992)
V.K. Kaplunenko, M.I. Khabipov, E.B. Goldobin, Supercond. Sci. Technol. 4, 674 (1991)
A. Fujimaki, K. Nakajima, Y. Sawada, Phys. Rev. Lett. 59, 2895 (1987)
A.V. Ustinov, Appl. Phys. Lett. 80, 3153 (2002)
B.A. Malomed, A.V. Ustinov, Phys. Rev. B 69, 064502 (2004)
D.R. Gulevich, F.V. Kusmartsev, Phys. Rev. Lett. 97, 017004 (2006)
A. Matsuda, S. Uehara, Appl. Phys. Lett. 41, 770 (1982)
A. Matsuda, Phys. Rev. B 34, 3127 (1986)
D.R. Gulevich, F.V. Kusmartsev, New J. Phys. 9, 59 (2007)
L.E. Guerrero, M. Octavio, Phys. Rev. A 37, 3641 (1988)
G. Filatrella, G. Rotori, Phys. Rev. B 50, 12802 (1994)
M. Cirillo et al., Phys. Rev. E 49, R3606 (1994)
E.H. Cannon et al., Phys. Rev. Lett. 85, 1302 (2000)
K.N. Alekseev et al., Eur. Phys. Lett. 47, 595 (1999)
K.N. Alekseev, F.V. Kusmartsev, Phys. Lett. A 305, 281 (2002)
L. Fritzsch et al., Physica C 296, 319 (1998)
M. Buttiker, R. Landauer, Phys. Rev. A 23, 1397 (1981)
M. Buttiker, T. Christen, Phys. Rev. Lett. 75, 1895 (1995)
K.G. Fedorov, A.L. Pankratov, Phys. Rev. Lett. 103, 260601 (2009)
A.V. Gordeeva, A.L. Pankratov, Phys. Rev. B 81, 212504 (2010)
E.A. Matrozova, A.L. Pankratov, M.Yu. Levichev, V.L. Vaks, J. Appl. Phys. 110, 053922 (2011)
E. Joergensen et al., Phys. Rev. Lett. 49, 1093 (1982)
B. Piette, W.J. Zakrzewski, Nonlinearity 11, 1103 (1988)
P.L. Chistiansen et al., Phys. Scr. 55, 131 (1997)
E.M. Maslov, Physica D 15, 433 (1985)
B.A. Malomed, Physica D 24, 155 (1987)
D.R. Gulevich, F.V. Kusmartsev, Supercond. Sci. Technol. 20, S60 (2007)
E. Goldobin et al., Phys. Rev. B 76, 224523 (2007)
F.V. Kusmartsev, Phys. Rev. Lett. 69, 2268 (1992)
J.J.A. Baselmans, A.F. Morpurgo, B.J. Van Wees, T.M. Klapwijk, Nature 397, 43 (1999)
V.V. Ryazanov et al., Phys. Rev. Lett. 86, 2427 (2001)
Goldobin et al., Phys. Rev. Lett. 92, 057005 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gulevich, D.R., Gaifullin, M.B. & Kusmartsev, F.V. Controlled dynamics of sine-Gordon breather in long Josephson junctions. Eur. Phys. J. B 85, 24 (2012). https://doi.org/10.1140/epjb/e2011-20689-4
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2011-20689-4