Publication: Nonclassical polarization states
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2006-06-06
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American Physical Society
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Abstract
We study nonclassical polarization states characterized by polarization distributions taking negative values. We consider two different families of polarization distributions that include polarization analogs of the Wigner function. We apply different measures of nonclassical behavior such as the nonclassical depth and the distance of the polarization distribution to its modulus. This approach is applied to relevant quantum field states such as one-photon states, SU(2) coherent states, quadrature coherent states, and twin number states. We examine observables allowing the detection of the negativity of the polarization distributions.
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©2006 The American Physical Society. A.L. acknowledges the support from Project No. FIS2004-01814 of the Spanish Dirección General de Investigación del Ministerio de Educación y Ciencia.
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[1] The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert, and A. Zeilinger (Springer, Berlin, 2000).
[2] K. E. Cahill and R. J. Glauber, Phys. Rev. 177, 1857 (1969); 177, 1882 (1969); M. Hillery, R. F. O’Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. 106, 121 (1984); B.-G. Englert, J. Phys. A 22, 625 (1989); H.-W. Lee, Phys. Rep. 259, 147 (1995).
[3] A. Luis, Phys. Rev. A 66, 013806 (2002); Opt. Commun. 216, 165 (2003_; Phys. Rev. A 69, 023803 (2004).
[4] A. Luis, Phys. Rev. A 71, 053801 (2005).
[5] G. S. Agarwal, Phys. Rev. A 24, 2889 (1981); J. C. Várilly and J. M. Gracia-BondÃa, Ann. Phys. (N.Y. ) 190, 107 (1989); J.-P. Amiet and M. B. Cibils, J. Phys. A 24, 1515 (1991); G. S. Agarwal, D. Home, and W. Schleich, Phys. Lett. A 170, 359 (1992); G. S. Agarwal, Phys. Rev. A 47, 4608 (1993); J. P. Dowling, G. S. Agarwal, and W. P. Schleich, ibid. 49, 4101 (1994); C. Brif and A. Mann, J. Phys. A 31, L9 (1998); M. P. de Miranda, F. J. Aoiz, L. Bañares, and V. Saéz Rábanos, J. Chem. Phys. 111, 5368 (1999); D. Arsenović, N. Burić, and D. M. Davidović, Phys. Rev. A 60, 1797 (1999); C. Brif and A. Mann, ibid. 59, 971 (1999); J. Opt. B: Quantum Semiclassical Opt. 2, 245 (2000); A. B. Klimov and S. M. Chumakov, J. Opt. Soc. Am. A 17, 2315 (2000); J. P. Amiet and S. Weigert, Phys. Rev. A 63, 012102 (2001); M. P. de Miranda and F. J. Aoiz, Phys. Rev. Lett. 93, 083201 (2004).
[6] C. T. Lee, Phys. Rev. A 44, R2775 (1991); 52, 3374 (1995); N. Lütkenhaus and S. M. Barnett, ibid. 51, 3340 (1995); A. F. de Lima and B. Baseia, ibid. 54, 4589 (1996); J. Janszky, M. G. Kim, and M. S. Kim, ibid. 53, 502 (1996).
[7] M. G. Benedict and A. Czirják, Phys. Rev. A 60, 4034 (1999); A. Kenfack and K. Zyczkowski, J. Opt. B: Quantum Semiclassical Opt. 6, 396 (2004); e-print quant-ph/0406015.
[8] A. Luis and L. L. Sánchez-Soto, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2000), Vol. 41, p. 421, and references therein.
[9] N. Mukunda, Am. J. Phys. 47, 182 (1979); J. P. Bizarro, Phys. Rev. A 49, 3255 (1994); P. Kasperkovitz and M. Peev, Ann. Phys. (N.Y. ) 230, 21 (1994); D. M. Kaplan and G. C. Summerfield, Phys. Rev. 187, 639 (1969); M. O. Scully, Phys. Rev. D 28, 2477 (1983); G. Ramachandran, A. R. Usha-Devi, P. Devi, and S. Sirsi, Found. Phys. 26, 401 (1996); S. M. Chumakov, A. Frank, and K. B. Wolf, Phys. Rev. A 60, 1817 (1999); V. P. Karassiov and A. V. Masalov, J. Opt. B: Quantum Semiclassical Opt. 4, S366 (2002); S. M. Chumakov, A. B. Klimov, and K. B. Wolf, Phys. Rev. A 61, 034101 (2001); W. K. Wootters, Ann. Phys. (N.Y. ) 176, 1 (1987); O. Cohendet, Ph. Combe, M. Sirugue, and M. Sirugue-Collin, J. Phys. A 21, 2875 (1988); D. Galetti and A. F. R. Toledo Piza, Physica A 149, 267 (1988); A. Lukš and V. Peřinová, Quantum Opt. 6, 125 (1994); U. Leonhardt, Phys. Rev. Lett. 74, 4101 (1995); Phys. Rev. A 53, 2998 (1996); T. Opatrný, D.-G. Welsch, and V. Bužek, ibid. 53, 3822 (1996); A. Luis and J. Peřina, J. Phys. A 31, 1423 (1998); C. Miquel, J. P. Paz, and M. Saraceno, Phys. Rev. A 65, 062309 (2002); J. P. Paz, ibid. 65, 062311 (2002); K. S. Gibbons, M. J. Hoffman, and W. K. Wootters, ibid. 70, 062101 (2004); S. Chaturvedi, E. Ercolessi, G. Marmo, G. Morandi, N. Mukunda, and R. Simon, J. Phys. A 39, 1405 (2006).
[10] J. Vaccaro, Opt. Commun. 113, 421 (1995); Phys. Rev. A 52, 3474 (1995_; J. Vaccaro and D. T. Pegg, ibid. 41, 5156 (1990).
[11] Ch. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, New York, 1998).
[12] A. Luis and L. L. Sánchez-Soto, Quantum Semiclassic. Opt. 7, 153 (1995).
[13] F. T. Arecchi, E. Courtens, R. Gilmore, and H. Thomas, Phys. Rev. A 6, 2211 (1972).
[14] M. Hillery, Phys. Rev. A 35, 725 (1987); P. Kazimierczyk and A. Orłowski, Phys. Lett. A 149, 449 (1990); V. V. Dodonov, O. V. Man’ko, V. I. Man’ko, and A. Wünsche, J. Mod. Opt. 47, 633 (2000); P. Marian, T. A. Marian, and H. Scutaru, Phys. Rev. Lett. 88, 153601 (2002); J. M. C. Malbouisson and B. Baseia, e-print quant-ph/0209107; Phys. Scr. 67, 93 (2003); V. V. Dodonov and M. B. Renó, Phys. Lett. A 308, 249 (2003); P. Marian, T. A. Marian, and H. Scutaru, Phys. Rev. A 69, 022104 (2004); J. K. Asbóth, J. Calsamiglia, and H. Ritsch, Phys. Rev. Lett. 94, 173602 (2005); e-print quantph/0411164.
[15] R. R. Puri, J. Phys. A 29, 5719 (1996).
[16] A. Luis, J. Phys. A 35, 8805 (2002); Phys. Lett. A 314, 197 (2003); Phys. Rev. A 71, 063815 (2005).
[17] E. J. Heller, Phys. Rev. A 35, 1360 (1987); H. Maassen and J. B. M. Uffink, Phys. Rev. Lett. 60, 1103 (1988); B. Mirbach and H. J. Korsch, Ann. Phys. (N.Y.) 265, 80 (1998); M. J.W. Hall, Phys. Rev. A 59, 2602 (1999); S. Gnutzmann and K. Życzkowski, J. Phys. A 34, 10123 (2001).
[18] P. W. Atkins and J. C. Dobson, Proc. R. Soc. London, Ser. A 321, 321 (1971); A. Luis and J. Peřina, Phys. Rev. A 53, 1886 (1996).
[19] A. Luis (unpublished).
[20] L. M. Johansen, Phys. Lett. A 329, 184 (2004); J. Opt. B: Quantum Semiclassical Opt. 6, L21 (2004); e-print quant-ph/0309025; e-print quant-ph/0402105; L. M. Johansen and A. Luis, Phys. Rev. A 70, 052115 (2004).