A photon viewed from wigner phase space

Optics and Photonics News

Volumn 14, Issue 10 SUPPL., 2003, Pages 28-35

  Mack, Holger ^a   Schleich, Wolfgang P ^a  

^a UNIVERSITY OF ULM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ELECTROMAGNETIC FIELD EFFECTS; INTERFEROMETRY; PROBABILITY; QUANTUM THEORY; RADIATION;

RADON TRANSFORM; WIGNER FUNCTION;

PHOTONS;

EID: 0242551592     PISSN: 10476938     EISSN: None     Source Type: Trade Journal    
DOI: None     Document Type: Review

References (32)

1. These seminal articles are reprinted and commented on in J.A. Wheeler and W. Zurek, Quantum Theory and Measurement (Princeton University Press, Princeton, 1983).
2. J.A. Wheeler, Frontiers of time, in: Problems in the foundations of physics, International School of Physics "Enrico Fermi", course LXXII (North-Holland, Amsterdam, 1979).
3. See for example, W.E. Lamb Jr., Anti-photon, Appl. Phys. B 60, 77-84 (1995).
4. R.J. Glauber, in: Quantum Optics and Electronics, Les Houches, edited by C. DeWitt, A. Blandin and C. Cohen-Tannoudji (Gordon and Breach, New York, 1965), p. 331-381.
5. M. Born and P. Jordan, Zur Quantenmechanik, Z. Physik 34, 858-889 (1925).
6. M. Born, W. Heisenberg, and P. Jordan, Zur Quantenmechanik II, Z. Phys. 35, 557-615 (1925).
7. See for example the special issue on Quantum phase and phase dependent measurements, edited by W.P. Schleich and S.M. Barnett, Physica Scripta T48 (1993).
8. F. London, Über die Jacobischen Transformationen der Quantenmechanik, Z. Phys. 37, 915-925 (1926); Winkelvariable und kanonische Transformationen in der Undulationsmechanik, Z. Phys. 40, 193-210 (1927).
9. F. London, Über die Jacobischen Transformationen der Quantenmechanik, Z. Phys. 37, 915-925 (1926); Winkelvariable und kanonische Transformationen in der Undulationsmechanik, Z. Phys. 40, 193-210 (1927).
10. P.A.M. Dirac, The quantum theory of the emission and absorption of radiation, Proc. Roy. Soc. A 114, 243-265 (1927).
11. E. Fermi, Quantum theory of radiation, Rev. Mod. Phys. 4, 87-132 (1932).
12. A.I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, Quantum state reconstruction of the single-photon Fock state, Phys. Rev. Lett. 87, 050402 (2001).
13. P. Bertet, A. Auffeves, P. Maioli, S. Osnaghi, T. Meunier, M. Brune, J.M. Raimond, and S. Haroche, Direct measurement of the Wigner function of a one-photon Fock state in a cavity, Phys. Rev. Lett. 89, 200402 (2002).
14. E.P. Wigner, On the quantum correction for thermodynamic equilibrium, Phys. Rev. 40, 749-759 (1932).
15. See for example W.P. Schleich, Quantum Optics in Phase Space (Wiley-VCH, Weinheim, 2001).
16. See for example P. Lougovski, E. Solano, Z.M. Zhang, H. Walther, H. Mack and W.P. Schleich, Fresnel representation of the Wigner function: An operational approach, Phys. Rev. Lett. 91, 010401 (2003) and references therein.
17. B.T.H. Varcoe, S. Brattke, M. Weidinger and H. Walther, Preparing pure photon number states of the radiation field. Nature 403, 743-746 (2000).
18. J.A. Wheeler, Geometrodynamics (Academic Press, New York, 1962), Z. Bialynicka-Birula and I. Bialynicki-Birula, Space-time description of squeezing, J. Opt. Soc. Am B 4, 1621-1626 (1987).
19. J.A. Wheeler, Geometrodynamics (Academic Press, New York, 1962), Z. Bialynicka-Birula and I. Bialynicki-Birula, Space-time description of squeezing, J. Opt. Soc. Am B 4, 1621-1626 (1987).
20. M.O. Scully and M.S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997); a nice review and novel approach can be found in I. Bialynicki-Birula, Photon wave function, Progress in Optics, Volume XXXVI (North Holland, Amsterdam, 1996), p. 245-294 or On the wave function of the photon, Acta Physica Polonica A 86, 97 (1994).
21. M.O. Scully and M.S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997); a nice review and novel approach can be found in I. Bialynicki-Birula, Photon wave function, Progress in Optics, Volume XXXVI (North Holland, Amsterdam, 1996), p. 245-294 or On the wave function of the photon, Acta Physica Polonica A 86, 97 (1994).
22. M.O. Scully and M.S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997); a nice review and novel approach can be found in I. Bialynicki-Birula, Photon wave function, Progress in Optics, Volume XXXVI (North Holland, Amsterdam, 1996), p. 245-294 or On the wave function of the photon, Acta Physica Polonica A 86, 97 (1994).
23. W. Heisenberg, Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen, Z. Physik 33, 879-893 (1925).
24. See for example, E. Elizalde and A. Romeo, Essentials of the Casimir effect and its computation. Am J. Phys. 59, 711-719 (1991); there is an interesting "classical" Casimir effect. Two ships that lie parallel to each other in a harbour attract each other as discussed in S.L. Boersma, A maritime analogy of the Casimir effect, Am J. Phys. 46, 539-541 (1996).
25. See for example, E. Elizalde and A. Romeo, Essentials of the Casimir effect and its computation. Am J. Phys. 59, 711-719 (1991); there is an interesting "classical" Casimir effect. Two ships that lie parallel to each other in a harbour attract each other as discussed in S.L. Boersma, A maritime analogy of the Casimir effect, Am J. Phys. 46, 539-541 (1996).
26. The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert and A. Zeilinger (Springer, Berlin, 2000), Quantum Information, edited by G. Alber et al., Springer Tracts in Modern Physics, Vol. 173 (Springer, New York, 2001).
27. The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert and A. Zeilinger (Springer, Berlin, 2000), Quantum Information, edited by G. Alber et al., Springer Tracts in Modern Physics, Vol. 173 (Springer, New York, 2001).
28. R.F. O'Connell (private communication).
29. W. Heisenberg, Über die inkohärente Streuung von Röntgenstrahlen, Physik. Zeitschr. 32, 737-740 (1931).
30. P.A.M. Dirac, Note on exchange phenomena in the Thomas atom, Proc. Camb. Phil. Soc. 26, 376-395 (1930).
31. The question of the position operator of a photon has been raised by T.D. Newton and E.P. Wigner, Localized states for elementary systems, Rev. Mod. Phys. 21, 400-406 (1949); see also E.R. Pike and S. Sarkar, Spatial dependence of weakly localized single-photon wave packets, Phys. Rev. A 35, 926-928 (1987).
32. The question of the position operator of a photon has been raised by T.D. Newton and E.P. Wigner, Localized states for elementary systems, Rev. Mod. Phys. 21, 400-406 (1949); see also E.R. Pike and S. Sarkar, Spatial dependence of weakly localized single-photon wave packets, Phys. Rev. A 35, 926-928 (1987).