SU(2)-invariant depolarization of quantum states of light

dc.contributor.authorRivas Vargas, Ángel
dc.contributor.authorLuis Aina, Alfredo
dc.date.accessioned2023-06-19T14:54:03Z
dc.date.available2023-06-19T14:54:03Z
dc.date.issued2013-11-18
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.abstractWe 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.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO), España
dc.description.sponsorshipQUITEMAD research consortium, Comunidad Autónoma de Madrid (CAM)
dc.description.sponsorshipUniversidad Complutense de Madrid (UCM)-BS
dc.description.statuspub
dc.eprint.idhttps://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.doi10.1103/PhysRevA.88.052120
dc.identifier.issn1050-2947
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.88.052120
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/34650
dc.issue.number5
dc.journal.titlePhysical review A
dc.language.isoeng
dc.page.final052120/11
dc.page.initial052120/1
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2009-10061
dc.relation.projectIDFIS2012-33152
dc.relation.projectIDFIS2012-35583
dc.relation.projectIDS2009-ESP-1594
dc.relation.projectIDGICC-910758
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordDynamical semigroups
dc.subject.keywordUnpolarized light
dc.subject.keywordUncertainty states
dc.subject.keywordEntanglement
dc.subject.keywordModel
dc.subject.keywordInterferometers
dc.subject.keywordDistributions
dc.subject.keywordPolarization
dc.subject.keywordMechanics
dc.subject.keywordRadiation
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleSU(2)-invariant depolarization of quantum states of light
dc.typejournal article
dc.volume.number88
dspace.entity.typePublication
relation.isAuthorOfPublication1d87b837-7271-4251-a083-ba395dac6c4b
relation.isAuthorOfPublicationb6f1fe2b-ee48-4add-bb0d-ffcbfad10da2
relation.isAuthorOfPublication.latestForDiscovery1d87b837-7271-4251-a083-ba395dac6c4b
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