SU(2)-invariant depolarization of quantum states of light
dc.contributor.author | Rivas Vargas, Ángel | |
dc.contributor.author | Luis Aina, Alfredo | |
dc.date.accessioned | 2023-06-19T14:54:03Z | |
dc.date.available | 2023-06-19T14:54:03Z | |
dc.date.issued | 2013-11-18 | |
dc.description | ©2013 American Physical Society. We acknowledge financial support from Spanish MINECO Grants No. FIS2009-10061, No. FIS2012-33152, and No. FIS2012-35583; CAM research consortium QUITEMAD S2009-ESP-1594; and UCM-BS Grant No. GICC-910758. | |
dc.description.abstract | We develop an SU(2)-invariant approach to the depolarization of quantum systems as the effect of random unitary SU(2) transformations. From it we derive an SU(2)-invariant Markovian master equation. This is applied to several quantum states examining whether nonclassical states are more sensible to depolarization than the classical ones. Furthermore, we show that this depolarization model provides a nontrivial generalization of depolarization channels to states of arbitrary dimension. | |
dc.description.department | Depto. de Óptica | |
dc.description.faculty | Fac. de Ciencias Físicas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO), España | |
dc.description.sponsorship | QUITEMAD research consortium, Comunidad Autónoma de Madrid (CAM) | |
dc.description.sponsorship | Universidad Complutense de Madrid (UCM)-BS | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/30205 | |
dc.identifier.citation | [1] Ch. Brosseau, Fundamentals of Polarized Light: A. Statistical Optics Approach (John Wiley & Sons, New York, 1998); J. J. Gil, Eur. Phys. J. Appl. Phys. 40, 1 (2007). [2] D.Goldstein, Polarized Light (Marcel Dekker, NewYork, 2003). [3] G. S. Agarwal, Quantum Optics (Cambridge University Press, Cambridge, England, 2013). [4]M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, England, 1997). [5] M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000). [6] A. Luis and L. L. Sánchez-Soto, Quantum Semiclass. Opt. 7, 153 (1995). [7] R. V. Ramos, J. Mod. Opt. 52, 2093 (2005); J. C. do Nascimento and R. V. Ramos, Microwave Opt. Tech. Lett. 47, 497 (2005); A. B. Klimov and L. L. Sánchez-Soto, Phys. Scr. T 140, 014009 (2010). [8] J. Schwinger, Quantum Theory of Angular Momentum (Academic, New York, 1965). [9] F. T. Arecchi, E. Courtens, R. Gilmore, and H. Thomas, Phys. Rev. A 6, 2211 (1972). [10] A. Luis, Phys. Rev. A 66, 013806 (2002). [11] R. Delbourgo, J. Phys. A 10, 1837 (1977). [12] B. Yurke, S. L. McCall, and J. R. Klauder, Phys. Rev. A 33, 4033 (1986); M. Hillery and L.Mlodinow, ibid. 48, 1548 (1993); M. Kitagawa andM. Ueda, ibid. 47, 5138 (1993); D. J.Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, ibid. 50, 67 (1994); J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, J. Mod. Opt. 47, 2599 (2000); N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and Ch. Silberhorn, Phys. Rev. A 65, 052306 (2002); N. Korolkova and R. Loudon, ibid. 71, 032343 (2005); A. Luis and N. Korolkova, ibid. 74, 043817 (2006). [13] C. Brif and A. Mann, Phys. Rev. A 54, 4505 (1996). [14] A map E is said to be unital if E(1) = 1. [15] P. Réfrégier, Opt. Lett. 33, 636 (2008). [16] P. Réfrégier and A. Luis, J. Opt. Soc. Am. A 25, 2749 (2008). [17] G. S. Agarwal, Lett. Nuov. Cim. 1, 53 (1971); H. Prakash and N. Chandra, Phys. Rev. A 4, 796 (1971); G. S. Agarwal, J. Lehner, and H. Paul, Opt. Commun. 129, 369 (1996); J. Lehner, U. Leonhardt, and H. Paul, Phys. Rev. A 53, 2727 (1996); J. Lehner, H. Paul, and G. S. Agarwal, Opt. Commun. 139, 262 (1997); J. Söderholm, G. Björk, and A. Trifonov, Opt. Spectrosc. 91, 532 (2001); arXiv:quant-ph/0007099; J. Ellis and A. Dogariu, J. Opt. Soc. Am. A 21, 988 (2004); 22, 491 (2005). [18] A. Rivas and S. F. Huelga, Open Quantum Systems. An Introduction (Springer, Heidelberg, Germany, 2011). [19] C. W. Gardiner and P. Zoller, Quantum Noise (Springer, Berlin, 2004). [20] G. Lindblad, Commun. Math. Phys. 48, 119 (1976); V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. 17, 821 (1976); M. Verri and V. Gorini, ibid. 19, 1803 (1978). [21] A. Barchielli, L. Lanz, and G. M. Prosperi, Nuov. Cim. B 72, 79 (1982); Found. Phys. 13, 779 (1983); C. M. Caves and G. J. Milburn, Phys. Rev. A 36, 5543 (1987). [22] G. S. Agarwal, Phys. Rev. A 24, 2889 (1981). [23] A. Luis, Phys. Rev. A 75, 053806 (2007). [24] A. Frigerio, Comm. Math. Phys. 63, 269 (1978); H. Spohn, Rev. Mod. Phys. 52, 569 (1980). [25] N. D. Mermin, Phys. Rev. Lett. 65, 1838 (1990); J. J. Bollinger, W. M. Itano, D. J. Wineland, and D. J. Heinzen, Phys. Rev. A 54, R4649 (1996); S. F. Huelga, C. Macchiavello, T. Pellizzari, A. K. Ekert, M. B. Plenio, and J. I. Cirac, Phys. Rev. Lett. 79, 3865 (1997); A. Luis, Phys. Rev. A 64, 054102 (2001); 65, 034102 (2002); Ph. Walther, J.-W. Pan, M. Aspelmeyer, R. Ursin, S. Gasparoni, and A. Zeilinger, Nature (London) 429, 158 (2004); M.W. Mitchell, J. S. Lundeen, and A. M. Steinberg, ibid. 429, 161 (2004). [26] A. Rivas and A. Luis, Phys. Rev. A 77, 022105 (2008); 78, 043814 (2008). [27] A. B. Klimov, J. L. Romero, and L. L. Sánchez-Soto, J. Opt. Soc. Am. B 23, 126 (2006); A. B. Klimov, J. L. Romero, L. L. Sánchez-Soto, A. Messina, and A. Napoli, Phys. Rev. A 77, 033853 (2008). [28] For SU(2) squeezed coherent states with a finite amount of squeezing the decay of the polarization lies between the blue and green lines in Fig. 1. Since for infinite squeezing s vanishes, so does the component e^−16νt in D(t ) because of the arguments given in Sec. IV. A. | |
dc.identifier.doi | 10.1103/PhysRevA.88.052120 | |
dc.identifier.issn | 1050-2947 | |
dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevA.88.052120 | |
dc.identifier.relatedurl | http://journals.aps.org/ | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/34650 | |
dc.issue.number | 5 | |
dc.journal.title | Physical review A | |
dc.language.iso | eng | |
dc.page.final | 052120/11 | |
dc.page.initial | 052120/1 | |
dc.publisher | American Physical Society | |
dc.relation.projectID | FIS2009-10061 | |
dc.relation.projectID | FIS2012-33152 | |
dc.relation.projectID | FIS2012-35583 | |
dc.relation.projectID | S2009-ESP-1594 | |
dc.relation.projectID | GICC-910758 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 535 | |
dc.subject.keyword | Dynamical semigroups | |
dc.subject.keyword | Unpolarized light | |
dc.subject.keyword | Uncertainty states | |
dc.subject.keyword | Entanglement | |
dc.subject.keyword | Model | |
dc.subject.keyword | Interferometers | |
dc.subject.keyword | Distributions | |
dc.subject.keyword | Polarization | |
dc.subject.keyword | Mechanics | |
dc.subject.keyword | Radiation | |
dc.subject.ucm | Óptica (Física) | |
dc.subject.unesco | 2209.19 Óptica Física | |
dc.title | SU(2)-invariant depolarization of quantum states of light | |
dc.type | journal article | |
dc.volume.number | 88 | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 1d87b837-7271-4251-a083-ba395dac6c4b | |
relation.isAuthorOfPublication | b6f1fe2b-ee48-4add-bb0d-ffcbfad10da2 | |
relation.isAuthorOfPublication.latestForDiscovery | 1d87b837-7271-4251-a083-ba395dac6c4b |
Download
Original bundle
1 - 1 of 1