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Coherent transfer of Cooper pairs by a movable grain

Nature volume 411, pages 454–457 (2001)Cite this article

Abstract

Superconducting circuits that incorporate Josephson junctions are of considerable experimental and theoretical interest, particularly in the context of quantum computing1,2,3,4,5. A nanometre-sized superconducting grain (commonly referred to as a Cooper-pair box2) connected to a reservoir by a Josephson junction is an important example of such a system. Although the grain contains a large number of electrons, it has been experimentally demonstrated6 that its states are given by a superposition of only two charge states (differing by 2e, where e is the electronic charge). Coupling between charge transfer and mechanical motion in nanometre-sized structures has also received considerable attention7,8,9,10. Here we demonstrate theoretically that a movable Cooper-pair box oscillating periodically between two remote superconducting electrodes can serve as a mediator of Josephson coupling, leading to coherent transfer of Cooper pairs between the electrodes. Both the magnitude and the direction of the resulting Josephson current can be controlled by externally applied electrostatic fields.

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Figure 1: Schematic representation of the nanoelectromechanical system discussed in the text.
Figure 2: Illustration of the charge transport process.
Figure 3: The magnitude of the d.c. current Ī in units of I0 = 2ef as a function of the phases Φ and Ξ.

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References

  1. Falci, G., Fazio, R., Palma, G. M., Siewert, J. & Vedral, V. Detection of geometric phases in superconducting nanocircuits. Nature 407, 355–358 (2000).

    Article  ADS  CAS  Google Scholar 

  2. Averin, D. V. Adiabatic quantum computation with Cooper pairs. Solid State Commun. 105, 659–664 (1998).

    Article  ADS  CAS  Google Scholar 

  3. Makhlin, Yu., Schön, G. & Shnirman, A. Josephson-junction qubits with controled couplings. Nature 398, 305–307 (1999).

    Article  ADS  CAS  Google Scholar 

  4. Ioffe, L. B., Geshkenbein, V. B., Feigel'man, M. V., Fauchere, A. L. & Blatter, G. Environmentally decoupled sds-wave Josephson junctions for quantum computing. Nature 398, 679–781 (1999).

    Article  ADS  Google Scholar 

  5. Freidman, R. J., Patel, V., Tolpygo, S. K. & Lukens, J. E. Quantum superposition of distinct macroscopic states. Nature 406, 43–45 (2000).

    Article  ADS  Google Scholar 

  6. Nakamura, Y., Pashkin, Yu. A. & Tsai, J. S. Coherent control of macroscopic quantum states in a single Cooper pair box. Nature 398, 786–788 (1999).

    Article  ADS  CAS  Google Scholar 

  7. Gorelik, L. Y. et al. Shuttle mechanism for charge transfer in Coulomb blockade nanostructures. Phys. Rev. Lett. 80, 4526–4529 (1998).

    Article  ADS  CAS  Google Scholar 

  8. Park, H. et al. Nanomechanical oscillations in a single C60-transistor. Nature 407, 57–60 (2000).

    Article  ADS  CAS  Google Scholar 

  9. Tuominen, M. T., Krotkov, R. V. & Breuer, M. L. Stepwise and hysteretic transport behavior of an electromechanical charge shuttle. Phys. Rev. Lett. 83, 3025–3028 (1999).

    Article  ADS  CAS  Google Scholar 

  10. Erbe, A., Weiss, C., Zwerger, W. & Blick, R. H. A nanomechanical resonator shuttling single electrons at radio frequencies. Preprint cond-mat/001429 at 〈http://xxx.lanl.gov〉 (2000).

  11. Leggett, A. J. & Sols, F. On the concept of spontaneously broken gauge symmetry in condensed matter physics. Found. Phys. 21, 353–363 (1991).

    Article  ADS  Google Scholar 

  12. Mooij, J. E. et al. Josephson persistent-current qubit. Science 285, 1036–1039 (1999).

    Article  CAS  Google Scholar 

Download references

Acknowledgements

We acknowledge financial support from the Swedish Foundation for Strategic Research (SSF) through the programmes QDNS (A.I.) and ATOMICS (L.Y.G.) and from the Swedish Natural Science Research Council (NFR) (R.I.S.).

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Authors and Affiliations

  1. Department of Applied Physics, Chalmers University of Technology,

    L. Y. Gorelik, A. Isacsson, R. I. Shekhter & M. Jonson

  2. Göteborg University, Göteborg, SE-412 96, Sweden

    L. Y. Gorelik, A. Isacsson, R. I. Shekhter & M. Jonson

  3. Department of Physics, University of Oslo, PO Box 1048, Oslo, N-0316, Norway

    Y. M. Galperin

  4. Division of Solid State Physics, Ioffe Institute of the Russian Academy of Sciences, St Petersburg, 194021, Russia

    Y. M. Galperin

  5. Centre for Advanced Study, Drammensveien 78, Oslo,, 0271, Norway

    L. Y. Gorelik, A. Isacsson, Y. M. Galperin, R. I. Shekhter & M. Jonson

Authors
  1. L. Y. Gorelik
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  2. A. Isacsson
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  5. M. Jonson
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Correspondence to A. Isacsson.

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Gorelik, L., Isacsson, A., Galperin, Y. et al. Coherent transfer of Cooper pairs by a movable grain. Nature 411, 454–457 (2001). https://doi.org/10.1038/35078027

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