Quantum polarization distributions via marginals of quadrature distributions
dc.contributor.author | Luis Aina, Alfredo | |
dc.date.accessioned | 2023-06-20T10:57:05Z | |
dc.date.available | 2023-06-20T10:57:05Z | |
dc.date.issued | 2005-05-02 | |
dc.description | ©2005 The American Physical Society. This work has been supported by Project No. FIS2004-01814 of the Spanish Dirección General de Investigación del Ministerio de Educación y Ciencia. | |
dc.description.abstract | We derive quantum polarization distributions on the Poincare sphere for two-mode fields as suitable marginals of the standard s-ordered quadrature distributions that include the Wigner function. We compare them with previously introduced distributions directly defined on the sphere from first principles. We apply this approach to some relevant field states such as coherent and number states. | |
dc.description.department | Depto. de Óptica | |
dc.description.faculty | Fac. de Ciencias Físicas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Ministerio de Educación y Ciencia (MEC), España | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/31377 | |
dc.identifier.doi | 10.1103/PhysRevA.71.053801 | |
dc.identifier.issn | 1050-2947 | |
dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevA.71.053801 | |
dc.identifier.relatedurl | http://journals.aps.org/ | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/51502 | |
dc.issue.number | 5 | |
dc.journal.title | Physical review A | |
dc.language.iso | eng | |
dc.page.final | 053801_9 | |
dc.page.initial | 053801_1 | |
dc.publisher | American Physical Society | |
dc.relation.projectID | FIS2004-01814 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 535 | |
dc.subject.keyword | Discrete wigner function | |
dc.subject.keyword | Quasi-probability distributions | |
dc.subject.keyword | State reconstruction | |
dc.subject.keyword | Nonclassical states | |
dc.subject.keyword | Coherent states | |
dc.subject.keyword | Density-matrix | |
dc.subject.keyword | Quasiprobability distributions | |
dc.subject.keyword | Phase distributions | |
dc.subject.keyword | Squeezed states | |
dc.subject.keyword | Spin states | |
dc.subject.ucm | Óptica (Física) | |
dc.subject.unesco | 2209.19 Óptica Física | |
dc.title | Quantum polarization distributions via marginals of quadrature distributions | |
dc.type | journal article | |
dc.volume.number | 71 | |
dcterms.references | [1] G. S. Agarwal, Phys. Rev. A 24, 2889 (1981); J. P. Dowling, G. S. Agarwal, and W. P. Schleich, ibid. 49, 4101 (1994). [2] J. C. Várilly and J. M. Gracia-Bondía, Ann. Phys. (N.Y.) 190, 107 (1989). [3] C. Brif and A. Mann, J. Phys. A 31, L9 (1998); Phys. Rev. A 59, 971 (1999); J. Opt. B: Quantum Semiclassical Opt. 2, 245 (2000). [4] M. P. Miranda, F. J. Aoiz, L. Bañares, and V. Sáez Rábanos, J. Chem. Phys. 111, 5368 (1999); M. P. Miranda and F. J. Aoiz, Phys. Rev. Lett. 93, 083201 (2004). [5] F. T. Arecchi, E. Courtens, R. Gilmore, and H. Thomas, Phys. Rev. A 6, 2211 (1972). [6] 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). [7] 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); J. A. Vaccaro and D. T. Pegg, Phys. Rev. A 41, 5156 (1990); A. Lukš and V. Peøinová, 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 B. Bužek, ibid. 53, 3822 (1996); C. Miquel, J. P. Paz, and M. Saraceno, ibid. 65, 062309 (2002); J. P. Paz, ibid. 65, 062311 (2002); A. Luis and J. Peøina, J. Phys. A 31, 1423 (1998). [8] 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). [9] A. Luis, Phys. Rev. A 66, 013806 (2002). [10] A. Luis, Opt. Commun. 216, 165 (2003); Phys. Rev. A 69, 023803 (2004). [11] The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert, and A. Zeilinger (Springer, Berlin, 2001); H. Paul, Introduction to Quantum Optics (Cambridge University Press, Cambridge, England, 2004). [12] W. Schleich, R. J. Horowicz, and S. Varro, Phys. Rev. A 40, 7405 (1989); S. L. Braunstein and C. M. Caves, ibid. 42, 4115 (1990); R. Tana., A. Miranowicz, and Ts. Gantsog, Phys. Scr. T48, 53 (1993); U. Leonhardt, J. A. Vaccaro, B. Böhmer, and H. Paul, Phys. Rev. A 51, 84 (1995); A. Alexandrescu and D. H. Schiller, J. Opt. B: Quantum Semiclassical Opt. 6, 360 (2004). [13] Ch. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, New York, 1998). [14] G. García Calderón and M. Moshinsky, J. Phys. A 13, L185 (1980); R. Dirl, P. Kasperkovitz, and M. Moshinsky, ibid. 21, 1835 (1988); A. K. Ekert and P. L. Knight, Phys. Rev. A 43, 3934 (1991); L. Knöll, S. Scheel, E. Schmidt, D.-G. Welsch, and A. V. Chizhov, ibid. 59, 4716 (1999); S. Scheel, L. Knöll, T. Opatrný, and D.-G. Welsch, ibid. 62, 043803 (2000); A. Luis, ibid. 70, 052118 (2004). [15] U. Leonhardt and H. Paul, Prog. Quantum Electron. 19, 89 (1995); U. Leonhardt, Measuring the Quantum State of light (Cambridge University Press, Cambridge, England, 1997); D.-G. Welsch, W. Vogel, and T. Opatrný, in Progress in Optics, edited by E. Wolf (Elsevier Science, Amsterdam, 1999), Vol. 39; N. G. Walker and J. E. Carroll, Electron. Lett. 20, 981 (1984); Opt. Quantum Electron. 18, 355 (1986); K. Vogel and H. Risken, Phys. Rev. A 40, 2847 (1989); D. T. Smithey, M. Beck, M. G. Raymer, and A. Faridani, Phys. Rev. Lett. 70, 1244 (1993); J. R. Torgerson and L. Mandel, ibid. 76, 3939 (1996); S. Schiller, G. Breitenbach, S. F. Pereira, T. Müller, and J. Mlynek, ibid. 77, 2933 (1996); G. Breitenbach, S. Schiller, and J. Mlynek, Nature sLondond 387, 471 (1997); M. Beck, C. Dorrer, and I. A. Walmsley, Phys. Rev. Lett. 87, 253601 (2001); A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, ibid. 87, 050402 (2001); P. Bertet, A. Auffeves, P. Maioli, S. Osnaghi, T. Meunier, M. Brune, J. M. Raimond, and S. Haroche, ibid. 89, 200402 (2002); A. I. Lvovsky and S. A. Babichev, Phys. Rev. A 66, 011801(R) (2002). [16] W. Band and J. L. Park, Found. Phys. 1, 133 (1970); J. L. Park and W. Band, ibid. 1, 211 (1971); W. Band and J. L. Park, ibid. 1, 339 (1970); R. G. Newton and B.-L. Young, Ann. Phys. (N.Y.) 49, 393 (1968); G. S. Agarwal, Phys. Rev. A 57, 671 (1998); J. P. Amiet and S. Weigert, J. Opt. B: Quantum Semiclassical Opt. 2, 118 (2000); A. B. Klimov, O. V. Man’ko, V. I. Man’ko, Y. F. Smirnov, and V. N. Tolstoy, J. Phys. A 35, 6101 (2002); S. Weigert, J. Opt. B: Quantum Semiclassical Opt. 6, 489 (2004); H. F. Hofmann and S. Takeuchi, Phys. Rev. A 69, 042108 (2004). [17] R. J. Glauber, Phys. Rev. 131, 2766 (1963); U. M. Titulaer and R. J. Glauber, Phys. Rev. 140, B676 (1965); M. Hillery, Phys. Lett. 111A, 409 (1985); C. T. Lee, Phys. Rev. A 44, R2775 (1991); 52, 3374 (1995); N. Lükenhaus 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); J. M. C. Malbouisson and B. Baseia, e-print quantph/0209107; V. V. Dodonov, J. Opt. B: Quantum Semiclassical Opt. 4, R1 (2002). [18] M. Kitagawa and M. Ueda, Phys. Rev. A 47, 5138 (1993); D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, ibid. 50, 67 (1994). [19] A. Luis and L. L. Sánchez-Soto, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2000), Vol. 41, p. 421. | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | b6f1fe2b-ee48-4add-bb0d-ffcbfad10da2 | |
relation.isAuthorOfPublication.latestForDiscovery | b6f1fe2b-ee48-4add-bb0d-ffcbfad10da2 |
Download
Original bundle
1 - 1 of 1