Skip to main content

Slow Decoherence of Superpositions of Macroscopically Distinct States

  • Conference paper
  • First Online:
Decoherence: Theoretical, Experimental, and Conceptual Problems

Part of the book series: Lecture Notes in Physics ((LNP,volume 538))

Abstract

Linear superpositions of macroscopically distinct quantum states (sometimes also called Schrödinger cat states) are usually almost immediately reduced to a statistical mixture if exposed to the dephasing influence of a dissipative environment. Couplings to the environment with a certain symmetry can lead to slow decoherence, however. We give specific examples of slowly decohering Schrödinger cat states in a realistic quantum optical system and discuss how they might be constructed experimentally.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.P. Peynman and F.C. Vernon Jr. (1963), Ann.Phys.(NY) 24, 118

    Article  ADS  Google Scholar 

  2. For an overview see U. Weiss (1993) Quantum Dissipative Systems. World Scientific Publishing, Singapore

    MATH  Google Scholar 

  3. W.H. Zurek (1981) Phys.Rev. D24, 1516

    ADS  MathSciNet  Google Scholar 

  4. A.O. Calderia, A.J. Leggett (1983) Ann.Phys.(NY) 149, 374

    Article  ADS  Google Scholar 

  5. D.F. Walls and G.J. Milburn 1985 Phys. Rev. A31 2403

    Google Scholar 

  6. F. Haake, D.F. Walls (1987) Phys.Rev.A 36, 730

    Article  ADS  MathSciNet  Google Scholar 

  7. F. Haake, M. Zukowski (1993) Phys. Rev. A47, 2506

    ADS  Google Scholar 

  8. W.T. Strunz (1997) J.Phys.A: Math. Gen 30, 4053

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. M. Brune, E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J.M. Raimond, and S. Haroche (1996) Phys.Rev.Lett. 77, 4887

    Article  ADS  Google Scholar 

  10. S. Haroche (1998) Physics today, 51, No.7, 36

    Article  Google Scholar 

  11. D.A. Lidar, I.L. Chuang, and K.B. Whaley (1998) Phys.Rev.Lett. 81, 2594–2597

    Article  ADS  Google Scholar 

  12. C.C. Gerry, E.E. Hach III (1993) Phys. Lett. A174, 185

    ADS  Google Scholar 

  13. B.M. Garraway, P.L. Knight (1994) Phys. Rev. A49, 1266

    ADS  Google Scholar 

  14. R.L. de Matos Filho, W. Vogel, Phys. Rev. Lett. 76, 608 (1996).

    Article  ADS  Google Scholar 

  15. J.F. Poyatos, J.I. Cirac, P. Zoller (1996) Phys. Rev. Lett. 77, 4728

    Article  ADS  Google Scholar 

  16. For a review of the phenomen of superradiance, see M. Gross and S. Haroche (1982) Physics Reports (Review Section of Physics Letters), 93, N5, 301–396

    ADS  Google Scholar 

  17. R. Bonifacio, P. Schwendimann, and F. Haake (1971) Phys.Rev.A, 4, 302; (1971) Phys.Rev.A, 4, 854

    Article  ADS  Google Scholar 

  18. F. Haake (1991) Quantum Signatures of Chaos. Springer, Berlin

    MATH  Google Scholar 

  19. M. Gross, C. Fabre, P. Pillet, and S. Haroche (1976) Phys. Rev. Lett. 36,1035; M.Gross, P. Goy, C. Fabre, S. Haroche, and J.M. Raimond (1979) Phys. Rev. Lett. 43, 343

    Article  ADS  Google Scholar 

  20. F. Haake and R. Glauber (1972) Phys. Rev. A5, 1457

    ADS  Google Scholar 

  21. F.T. Arecchi, E. Courtens, G. Gilmore, and H. Thomas (1972) Phys. Rev. A 6, 2211

    ADS  Google Scholar 

  22. P.A. Braun, D. Braun, F. Haake and J. Weber (1998) Eur.Phys.J. D2, 165

    ADS  Google Scholar 

  23. M.V. Fedoryuk (1987) Asimptotika, integraly i ryadi [Asymptotics, Integrals and Series; in Russian]. Nauka Publishing House, Moscow

    MATH  Google Scholar 

  24. G.S. Agarwal, R.R. Puri, R.P. Singh (1997) Phys. Rev. A56, 2249

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Braun, D., Braun, P.A., Haake, F. (2000). Slow Decoherence of Superpositions of Macroscopically Distinct States. In: Blanchard, P., Joos, E., Giulini, D., Kiefer, C., Stamatescu, IO. (eds) Decoherence: Theoretical, Experimental, and Conceptual Problems. Lecture Notes in Physics, vol 538. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46657-6_4

Download citation

  • DOI: https://doi.org/10.1007/3-540-46657-6_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66899-2

  • Online ISBN: 978-3-540-46657-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics