Skip to main content
SpringerLink
Log in

Time reversal and exceptional points

  • Published:
The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract.

Eigenvectors of decaying quantum systems are studied at exceptional points of the Hamiltonian. Special attention is paid to the properties of the system under time reversal symmetry breaking. At the exceptional point the chiral character of the system -- found for time reversal symmetry -- generically persists. It is, however, no longer circular but rather elliptic.

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. T. Kato, Perturbation theory of linear operators (Springer, Berlin, 1966)

  2. W.D. Heiss, A.L. Sannino, J. Phys. A 23, 1167 (1990); Phys. Rev. A 43, 4159 (1991)

    Article  Google Scholar 

  3. M.V. Berry, D.H.J. O’Dell, J. Phys. A 31, 2093 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  4. W.D. Heiss, Eur. Phys. J. D 7, 1 (1999); Phys. Rev. E 61, 929 (2000)

    Article  Google Scholar 

  5. E. Hernandez, A. Jaureguit, A. Mondragon, J. Phys. A 33, 4507 (2000)

    MathSciNet  MATH  Google Scholar 

  6. M.V. Berry, M. Wilkinson, Proc. R. Soc. Lond. A 392, 15 (1984)

    MathSciNet  Google Scholar 

  7. O. Latinne, N.J. Kylstra, M. Dörr, J. Purvis, M. Terao-Dunseath, C.J. Jochain, P.G. Burke, C.J. Noble, Phys. Rev. Lett. 74, 46 (1995)

    Article  Google Scholar 

  8. A.L. Shuvalov, N.H. Scott, Acta Mech. 140, 1 (2000)

    MATH  Google Scholar 

  9. P.v. Brentano, M. Philipp, Phys. Lett. B 454, 171 (1999); M. Philipp et al. , Phys. Rev. E 62, 1922 (2000)

    Article  Google Scholar 

  10. C. Dembowski, H.-D. Gräf, H.L. Harney, A. Heine, W.D. Heiss, H. Rehfeld, A. Richter, Phys. Rev. Lett. 86, 787 (2001)

    Article  Google Scholar 

  11. S. Pancharatnam, Proc. Ind. Acad. Sci. XLII, 86 (1955)

  12. M.V. Berry, Curr. Sci. 67, 220 (1994)

    Google Scholar 

  13. M.V. Berry, M.R. Dennis, Proc. Roy. Soc. A 459, 1261 (2003)

    Article  Google Scholar 

  14. M.K. Oberthaler, R. Abfalterer, S. Bernet, J. Schmiedmeyer, A. Ziegler, Phys. Rev. Lett. 77, 4980 (1996)

    Article  Google Scholar 

  15. H.J. Korsch, S. Mossmann, J. Phys. A: Math. Gen. 36, 2139 (2003); F. Keck, H.J. Korsch, S. Mossmann, J. Phys. A: Math. Gen. 36, 2125 (2003)

    Article  MathSciNet  Google Scholar 

  16. W.D. Heiss, H.L. Harney, Eur. Phys. J. D 17, 149 (2001)

    Article  Google Scholar 

  17. C. Dembowski, B. Dietz, H.-D. Gräf, H.L. Harney, A. Heine, W.D. Heiss, A. Richter, Phys. Rev. Lett. 90, 034101 (2003)

    Article  Google Scholar 

  18. A. Richter, H.-D. Gräf, C. Dembowski, private communication

Download references

Author information

Authors and Affiliations

  1. Max-Planck-Institut für Kernphysik, 69029, Heidelberg, Germany

    H. L. Harney & W. D. Heiss

  2. Department of Physics, University of Stellenbosch, 7602, Matieland, South Africa

    W. D. Heiss

Authors
  1. H. L. Harney
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. W. D. Heiss
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to W. D. Heiss.

Additional information

Received: 20 November 2003, Published online: 15 April 2004

PACS:

03.65.Vf Phases: geometric; dynamic or topological - 02.30.-f Function theory, analysis - 05.45.Mt Quantum chaos; semiclassical methods

Rights and permissions

Reprints and permissions

About this article

Cite this article

Harney, H.L., Heiss, W.D. Time reversal and exceptional points. Eur. Phys. J. D 29, 429–432 (2004). https://doi.org/10.1140/epjd/e2004-00049-7

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2004-00049-7

Keywords

Search

Navigation