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Landau-Zener interferometry for qubits

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Abstract.

One may probe coherence of a qubit by periodically sweeping its control parameter. The qubit is then excited by the Landau-Zener (LZ) mechanism. The interference between multiple LZ transitions leads to an oscillatory dependence of the energy absorption rate on the sweeping amplitude and on the period. This interference pattern allows to determine the decoherence time of the qubit. We introduce a simple phenomenological model describing this “interferometer”, and find the form of the interference pattern.

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References

  1. A. Shnirman, G. Schön, Z. Hermon, Phys. Rev. Lett. 79, 2371 (1998)

    Article  Google Scholar 

  2. J.E. Mooij, Science 285, 1036 (1999)

    Article  Google Scholar 

  3. L.B. Ioffe, Nature 398, 679 (1999)

    Article  Google Scholar 

  4. G. Blatter, L.B. Ioffe, V.B. Geshkenbein, Phys. Rev. B 63, 174511 (2001)

    Article  Google Scholar 

  5. Y. Nakamura, Yu. Pashkin, H.S. Tsai, Nature 398, 786 (1999)

    Article  Google Scholar 

  6. C. van der Wal, Science 290, 773 (2000)

    Article  Google Scholar 

  7. I. Chiorescu, Science 299, 1869 (2003)

    Article  Google Scholar 

  8. J.R. Friedman, Nature 406, 43 (2000)

    Article  Google Scholar 

  9. D. Vion, Science 296, 886 (2002), and cond-mat/0209315

    Article  Google Scholar 

  10. J. Martinis, Phys. Rev. Lett. 89, 117901 (2002)

    Article  Google Scholar 

  11. Y. Yu, Science 296, 889 (2002)

    Article  Google Scholar 

  12. Yu. Makhlin, G. Schön, A. Shnirman, Rev. Mod. Phys. 73, 357 (2001)

    Article  Google Scholar 

  13. M.V. Feigel’man, J. Low Temp. Phys. 118, 807 (2000)

    Article  Google Scholar 

  14. Y. Gefen, E. Ben-Jacob, A.O. Caldeira, Phys. Rev. B 36, 2770 (1987)

    Article  Google Scholar 

  15. E. Shimshoni, Y. Gefen, Ann. Phys. 210, 16 (1991)

    Google Scholar 

  16. A. Shnirman, Yu. Makhlin, G. Schön, cond-mat/0202518

  17. T.P. Orlando, Phys. Rev. B 60, 15398 (1999)

    Article  Google Scholar 

  18. N. Prokofiev, P. Stamp, cond-mat/0006084

  19. L. Tian, “Decoherence of the superconducting persistent current qubit”, in “Quantum mesoscopic phenomena and mesoscopic devices in microelectronics”, edited by I.O. Kulik, R. Ellialtioglu (Kluwer Academic Publishers, 2000), cond-mat/9910062

  20. A. J. Leggett, Rev. Mod. Phys. 59, 1 (1987)

    Article  Google Scholar 

  21. L.D. Landau, Phys. Z. Sowjetunion 2, 46 (1932)

    MATH  Google Scholar 

Download references

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Authors and Affiliations

  1. L.D. Landau Institute for Theoretical Physics, 117940, Moscow, Russia

    A. V. Shytov & M. V. Feigel’man

  2. Institute for Theoretical Physics, University of California at Santa Barbara, USA

    A. V. Shytov

  3. Institute for Theoretical Physics, 8093, ETH-Zürich, Switzerland

    D. A. Ivanov

Authors
  1. A. V. Shytov
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  2. D. A. Ivanov
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  3. M. V. Feigel’man
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Corresponding author

Correspondence to A. V. Shytov.

Additional information

Received: 21 October 2003, Published online: 8 December 2003

PACS:

03.67.-a Quantum information - 85.25.Dq Superconducting quantum interference devices

D.A. Ivanov: Present address: Paul Scherrer Institute, 5232 Villigen PSI, Switzerland

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Shytov, A.V., Ivanov, D.A. & Feigel’man, M.V. Landau-Zener interferometry for qubits. Eur. Phys. J. B 36, 263–269 (2003). https://doi.org/10.1140/epjb/e2003-00343-8

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  • DOI: https://doi.org/10.1140/epjb/e2003-00343-8

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