Observation of nonequilibrium libration states in a single-junction superconducting quantum interferometer

Europhysics Letters

Volumn 54, Issue 4, 2001, Pages 515-521

  Il'ichev, E ^a   Fistul, M V ^b   Malomed, B A ^c   Hoenig, H E ^a   Meyer, H G ^a  

^a LEIBNIZ INSTITUTE OF PHOTONIC TECHNOLOGY   (Germany)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18044365773     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2001-00277-9     Document Type: Article

References (21)

1. STROGATZ S. H., Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Addison-Wesley, Reading, Mass.) 1994.
2. VAN KAMPEN N. G., Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam) 1992.
3. GAMMAITONI L., HÄNGGI P., JUNG P. and MARCHESONI P., Rev. Mod. Phys., 70 (1998) 223.
4. SIEVERS A. J. and PAGE J. B., in Dynamical Properties of Solids VII Phonon Physics, edited by G. K. HORTON and A. A. MARADUDIN (Elseiver, Amsterdam) 1995.
5. CALDEIRA A. O. and LEGGET A. T., Ann. Phys., 149 (1983) 374.
6. FRIEDMAN J. R., PATEL V., CHEN W., TOLPYGO S. K. and LUKENS J. E., Nature, 406 (2000) 43; ROUSE R., HAN S. Y. and LUKENS J. E., Phys. Rev. Lett., 75 (1995) 1614.
7. FRIEDMAN J. R., PATEL V., CHEN W., TOLPYGO S. K. and LUKENS J. E., Nature, 406 (2000) 43; ROUSE R., HAN S. Y. and LUKENS J. E., Phys. Rev. Lett., 75 (1995) 1614.
8. MACDONALD J. R. (Editor), Impedance Spectroscopy (John Wiley, New York) 1987.
9. GUCKENHEIMER J. and HOLMES P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, New York) 1994.
10. BOGOLUBOV N. N. and MITROPOLSKII Yu. A., Asymptotic Methods in the Theory of Nonlinear Oscillations (Gordon and Breach, New York) 1961.
11. BAK C. K., KOFOED B., PEDERSEN N. F. and SAERMARK K., J. Appl. Phys., 46 (1975) 886.
12. FISTUL M. V. and USTINOV A. V., Phys. Rev. B, 63 (2001) 024508.
13. LIKHAREV K. K., Dynamics of Josephson Junctions and Circuits (Gordon and Breach, Phyladelphia) 1986.
14. FIORY A. T., HEBARD A. F., MANKIEWICH P. M. and HOWARD R. E., Appl. Phys. Lett., 52 (1988) 2165.
15. RIFKIN R. and DEAVER B. S., Phys. Rev. B, 13 (1976) 3894.
16. IL'ICHEV E., ZAKOSARENKO V., IJSSELSTEIJN R. P. J., SCHULTZE V., MEYER H.-G., HOENIG H. E., HILGENKAMP H. and MANNHART J., Phys. Rev. Lett., 81 (1998) 894.
17. IL'ICHEV E., ZAKOSARENKO V., IJSSELSTEJN R. P., HOENIG H. E., MEYER H.-G., FISTUL M. V. and MÜLLER P., Phys. Rev. B, 59 (1999) 11502.
18. IL'ICHEV E. V., ZAKOSARENKO V., SCHULTZE V., MEYER H.-G., HOENIG H. E., GLYANTSEV V. N. and GOLUBOV A., Appl. Phys. Lett., 72 (1998) 731.
19. Note here that in the numerous works devoted to the studies of a single-junction superconducting interferometer in a nonautonomous regime, the limit of a relative large ac has been considered, see, for example, [12]. Moreover, using a weak ac limit allows to avoid complicated dynamics found in this regime, see PRANCE R. J., WHITEMAN R., CLARK T. D., PRANCE H., SCHÖLLMANN V., RALPH J. F., AL-KHAWAJA S. and EVERITT M., Phys. Rev. Lett., 82 (1999) 5401.
20. The curves in fig. 4 are obtained by using the standard averaging procedure, i.e. sweeping the dc flux many times within the range of values shown in the plot. It allows to decrease the influence of rf noise.
21. FILATRELLA G., MALOMED B. A. and PARMENTIER R. D., Phys. Lett. A, 180 (1993) 346.