Skip to main content
SpringerLink
Log in

Exact Results for Tunneling Problems of Bogoliubov Excitations in the Critical Supercurrent State

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

We show the exact solution of Bogoliubov equations at zero-energy in the critical supercurrent state for arbitrary shape of potential barrier. With use of this solution, we prove the absence of perfect transmission of excitations in the low-energy limit by giving the explicit expression of transmission coefficient. The origin of disappearance of perfect transmission is the emergence of zero-energy density fluctuation near the potential barrier.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D.L. Kovrizhin, L.A. Maksimov, Dokl. Phys. 46, 328 (2001)

    Article  ADS  Google Scholar 

  2. D.L. Kovrizhin, Phys. Lett. A 287, 392 (2001)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. Yu. Kagan, D.L. Kovrizhin, L.A. Maksimov, Phys. Rev. Lett. 90, 130402 (2003)

    Article  ADS  Google Scholar 

  4. N.N. Bogoliubov, J. Phys. (Mosc.) 11, 23 (1947)

    Google Scholar 

  5. I. Danshita, N. Yokoshi, S. Kurihara, New J. Phys. 8, 44 (2006)

    Article  ADS  Google Scholar 

  6. Y. Kato, H. Nishiwaki, A. Fujita, J. Phys. Soc. Jpn. 77, 013602 (2008)

    Article  ADS  Google Scholar 

  7. Y. Ohashi, S. Tsuchiya, Phys. Rev. A 78, 043601 (2008)

    Article  ADS  Google Scholar 

  8. A. Baratoff, J.A. Blackburn, B.B. Schwartz, Phys. Rev. Lett. 25, 1096 (1970)

    Article  ADS  Google Scholar 

  9. D. Takahashi, Y. Kato, J. Phys. Soc. Jpn. 78, 023001 (2009)

    Article  ADS  Google Scholar 

  10. A.L. Fetter, Ann. Phys. (N.Y.) 70, 67 (1972)

    Article  ADS  Google Scholar 

  11. N. Pavloff, Phys. Rev. A 66, 013610 (2002)

    Article  ADS  Google Scholar 

  12. V. Hakim, Phys. Rev. E 55, 2835 (1997)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Basic Science, University of Tokyo, Tokyo, 153-8902, Japan

    Daisuke Takahashi & Yusuke Kato

Authors
  1. Daisuke Takahashi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yusuke Kato
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Daisuke Takahashi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Takahashi, D., Kato, Y. Exact Results for Tunneling Problems of Bogoliubov Excitations in the Critical Supercurrent State. J Low Temp Phys 158, 65–71 (2010). https://doi.org/10.1007/s10909-009-0036-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-009-0036-3

Keywords

PACS

Search

Navigation