Skip to main content

Superposition, Entanglement and Other Oddities

  • Chapter
  • First Online:
Quantum Physics in the Nanoworld

Part of the book series: Graduate Texts in Physics ((GTP))

  • 2501 Accesses

Abstract

For a fundamental understanding of quantum mechanics, superposition and entanglement of quantum states are essential issues. These phenomena are explained by means of examples including the scattering of two identical particles. Special focus is on the quantum mechanical measurement process and on the disappearance of double slit interferences by gaining “Which Way” information. As an experimental example “Which Way” probing in a nanoscaled Aharanov-Bohm experiment is described. Using the density matrix formalism, open quantum systems and dephasing of coherent quantum states are discussed. This includes a short consideration of Schrödinger’s cat paradox. Important applications in the field of quantum information are presented, in particular the realization of a quantum bit by semiconductor quantum dots.

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 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 79.99
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

References

  1. E. Schrödinger, Proc. Camb. Phil. Soc. 31, 555 (1935)

    Google Scholar 

  2. E. Schrödinger, Abhandlungen zur Wellenmechanik (J.A. Barth, Leipzig, 1927)

    Google Scholar 

  3. E. Schrödinger, Briefe zur Wellenmechanik (Springer, Wien, 1963)

    Google Scholar 

  4. A. Einstein, B. Podolsky, N. Rosen, Phys. Rev. 47, 777 (1935)

    Article  MATH  ADS  Google Scholar 

  5. D. Bohm, Phys. Rev. 85, 166 (1952)

    Article  MATH  ADS  Google Scholar 

  6. J.S. Bell, Physics 1, 195 (1964)

    Google Scholar 

  7. J.S. Bell, Rev. Mod. Phys. 38, 447 (1966)

    Article  MATH  ADS  Google Scholar 

  8. M. Lamehi-Rachti, W. Mittig, Phys. Rev. 14, 2543 (1976)

    ADS  Google Scholar 

  9. A. Aspect, P. Grangier, G. Roger, Phys. Rev. Lett. 49, 91 (1982)

    Google Scholar 

  10. M.O. Scully, B.-G. Englert, H. Walther, Nature 351, 111 (1991)

    Article  ADS  Google Scholar 

  11. S. Dürr, T. Nonn, G. Rempe, Nature 395, 33 (1998)

    Google Scholar 

  12. D.-I. Chang, G.L. Khym, K. Kang, Y. Chung, H.-J. Lee, M. Seo, M. Heiblum, D. Mahalu, V. Umansky, Nat. Phys. 4, 205 (2008)

    Google Scholar 

  13. E. Buks, R. Schuster, M. Heiblum, D. Mahalu, V. Umansky, Nature 391, 871 (1998)

    Google Scholar 

  14. S. Gustavsson, R. Leturcq, M. Studer, T. Ihn, K. Ensslin, D. C. Driscoll, A. C. Gossard, NanoLetters 8, 2547 (2008)

    Google Scholar 

  15. G.M. Palma, K.A. Suominen, A.K. Eckert, Proc. R. Soc. Lond. A 452, 567 (1996)

    Article  MATH  ADS  Google Scholar 

  16. W. Unruh, Phys. Rev. A 51, 992 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  17. D. Di Vincenzo, Phys. Rev. A 50, 1015 (1995)

    Article  Google Scholar 

  18. V.N. Golovach, A. Khaetskii, D. Loss, Phys. Rev. Lett. 93, 016601–1 (2004)

    Article  ADS  Google Scholar 

  19. H.-K. Lo, S. Popescu and T. Spiller (eds.), Introduction to Quantum Computation and Information, World Scientific, Singapore (1998)

    Google Scholar 

  20. D. Bouwmeester, A. Ekert, A. Zeilinger (eds.), The Physics of Quantum Information (Springer, Berlin, 2000)

    MATH  Google Scholar 

  21. T. Hayashi, T. Fujisawa, H.D. Cheong, Y.H. Jeong, Y. Hirayama, Phys. Rev. Lett. 91, 226804–1 (2003)

    Article  ADS  Google Scholar 

  22. J. Gorman, D.G. Hasko, D.A. Williams, Phys. Rev. Lett. 95, 090502–1 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hans Lüth .

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Lüth, H. (2015). Superposition, Entanglement and Other Oddities. In: Quantum Physics in the Nanoworld. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-14669-0_7

Download citation

Publish with us

Policies and ethics