Advertisement

Quantum zeno effect in Cooper-pair transport through a double-island Josephson system

  • A. Shnirman
  • Yu. Makhlin
Condensed Matter

Abstract

Motivated by recent experiments, we analyze transport of Cooper pairs through a double-island Josephson qubit. At low bias in a certain range of gate voltages, coherent superpositions of charge states play a crucial role. Analysis of the evolution of the density matrix allows us to cover a wide range of parameters, including situations with degenerate levels, when dissipation strongly affects the coherent eigenstates. At high noise levels, the so-called Zeno effect can be observed, which slows down the transport. Our analysis explains certain features of the I-V curves, in particular, the visibility and shape of resonant peaks and lines.

PACS numbers

74.50.+r 03.65.Xp 85.25.Cp 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Yu. Makhlin, G. Schön, and A. Shnirman, Rev. Mod. Phys. 73, 357 (2001).CrossRefADSGoogle Scholar
  2. 2.
    E. Bibow, P. Lafarge, and L. LÉvy, Phys. Rev. Lett. 88, 017003 (2002).Google Scholar
  3. 3.
    E. Bibow, PhD Thesis (Univ. Joseph Fourier, Grenoble I, 2001).Google Scholar
  4. 4.
    V. Bouchiat, D. Vion, P. Joyez, et al., Phys. Scr. T 76, 165 (1998).ADSGoogle Scholar
  5. 5.
    A. Shnirman, G. Schön, and Z. Hermon, Phys. Rev. Lett. 79, 2371 (1997); Yu. Makhlin, G. Schön, and A. Shnirman, Nature 386, 305 (1999).CrossRefADSGoogle Scholar
  6. 6.
    D. V. Averin and V. Y. Aleshkin, Pis’ma Zh. Éksp. Teor. Fiz. 50, 331 (1989) [JETP Lett. 50, 367 (1989)].Google Scholar
  7. 7.
    A. Maassen, J. van den Brink, G. Schön, and L. J. Geerligs, Phys. Rev. Lett. 67, 3030 (1991).ADSGoogle Scholar
  8. 8.
    A. Maassen, J. van den Brink, A. A. Odintsov, et al., Z. Phys. B 85, 459 (1991).Google Scholar
  9. 9.
    J. Siewert and G. Schön, Phys. Rev. B 54, 7421 (1996).CrossRefADSGoogle Scholar
  10. 10.
    R. Harris and L. Stodolsky, Phys. Lett. B 116, 464 (1982).ADSGoogle Scholar
  11. 11.
    G.-L. Ingold and Yu. V. Nazarov, in Single Charge Tunneling: Coulomb Blockade Phenomena in Nanostructures, Ed. by H. Grabert and M. H. Devoret (Plenum, New York, 1992), p. 21.Google Scholar
  12. 12.
    U. Weiss, Quantum Dissipative Systems, 2nd ed. (World Sci., Singapore, 1999).Google Scholar
  13. 13.
    H. Schoeller and G. Schön, Phys. Rev. B 50, 18436 (1994).Google Scholar
  14. 14.
    Yu. Makhlin, G. Schön, and A. Shnirman, in Exploring the Quantum-Classical Frontier, Ed. by J. R. Friedman and S. Han (Nova Sci., Commack, N.Y., 2002), p. 405.Google Scholar
  15. 15.
    A. O. Caldeira and A. J. Leggett, Ann. Phys. (N.Y.) 149, 374 (1983).CrossRefGoogle Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2003

Authors and Affiliations

  • A. Shnirman
    • 1
  • Yu. Makhlin
    • 1
    • 2
  1. 1.Institut für Theoretische FestkörperphysikUniversität KarlsruheKarlsruheGermany
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia

Personalised recommendations