Superposição assimétrica de estados coerentes circulares
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| Publication Date: | 2002 |
| Format: | Master thesis |
| Language: | por |
| Source: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tde/2877 |
Summary: | In this paper we present a new quantum state of light, obtained from an asymmetric superposition of coherent states in circular stationary mode. The generation of this state was proposed and the experimental apparatus required is presented. General expressions describing various properties (statistical distribution, variances, atomic inversion, etc..) Were obtained for arbitrary generations. We observed how they behave their properties by varying the phase between the components of superpo- sition states. We show that the statistical properties do not fully characterize the resulting state, showing different states with the same statistics. Alternative ways to distinguish these states were considered. Based on quantum interference in phase space, we show how we can generate an approximation of the number state N2 thru a process called "quantum sculpture,"and check the influence of the stage in this process. Finally, we measured the classicalidade not analyze this state and its representation in phase space. |
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| author | Maia, Luciano Paulo de Araújo |
| author_browse | Maia, Luciano Paulo de Araújo |
| author_facet | Maia, Luciano Paulo de Araújo |
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| collection | Repositório Institucional da UFG |
| contributor_str_mv | Baseia, Basilio |
| dc.contributor.advisor1.fl_str_mv | Baseia, Basilio |
| dc.contributor.advisor1Lattes.fl_str_mv | http://lattes.cnpq.br/5804506385505435 |
| dc.contributor.author.fl_str_mv | Maia, Luciano Paulo de Araújo |
| dc.contributor.authorLattes.fl_str_mv | http://lattes.cnpq.br/9951950655768948 |
| dc.date.accessioned.fl_str_mv | 2014-08-01T15:13:17Z |
| dc.date.issued.fl_str_mv | 2002 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.citation.fl_str_mv | MAIA, Luciano Paulo de Araújo. Superposição assimétrica de estados coerentes circulares. 2002. 68 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2002 . |
| dc.identifier.uri.fl_str_mv | http://repositorio.bc.ufg.br/tede/handle/tde/2877 |
| dc.language.iso.fl_str_mv | por |
| dc.publisher.country.fl_str_mv | Brasil |
| dc.publisher.department.fl_str_mv | Instituto de Física - IF (RG) |
| dc.publisher.initials.fl_str_mv | UFG |
| dc.publisher.none.fl_str_mv | Universidade Federal de Goiás |
| dc.publisher.program.fl_str_mv | Programa de Pós-graduação em Fisica (IF) |
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| dc.relation.references.por.fl_str_mv | [1] H. Brown , R.W. Twiss, Nature, 177, 27 (1956). [2] R.J. Glauber, Phys. Rev. 130, 2529 (1963). [3] H.J. Carmichael, D.F. Walls, J Phys. B 9 L43 (1976). [4] L. Mandel, Opt. Lett. 4, 205 (1979); Phys. Scr. T12, 34 (1986); L. Mandel et al., Phys. Rev. Lett., 49, 136 (1982). [5] D. Stoler, Phys. Rev. D, 1, 3217(1970). [6] R.E. Slusher, L.W. Hollberg, B.Yurke, Phys. Rev. Letters, 55, 2409(1985). [7] F.T. Arecchi, E. Gatti, A. Sona, Phys. Rev. Lett. 20, 27 (1966); Phys. Lett. 16, 32 (1966). [8] H.J. Kimble, M. Degenais, L. Mandel, Phys. Rev. Lett. 39, 691 (1977); a previsão teórica: H.J. Carmichael, D.F. Walls, J. Phys. B9, L43 (1976). [9] D. Stoler, Phys. Rev. D1, 3217 (1970). [10] R.E. Slusher et al., Phys. Rev. Lett. 55, 2409 (1985); R.L. Robinson, Science, 230, 927 (1985). [11] E.T. Jaynes, F.W. Cummings: Proc IEEE 51, 89(1963). [12] G. Rempe, H. Walther and N. Klein, Phys. Rev. Lett. 58, 353 (1987). [13] W. Schleich, D.F. Walls e J.A. Wheeler, Phys. Rev. A38, 1177 (1988); Nature, 326, 574 (1987). [14] D.F. Walls, G.J. Milburn, “Quantum Optics”Springer-Verlag,(Berlin, 1994). [15] L. Mandel, E. Wolf, Optical Coherence and Quantun Optics Cambridge Uni. Press, NY(1995). B. Baseia, M.H.Y. Moussa and V.S. Bagnato, Phys. Lett. A240 277(1998); R. Ragi,V.S. Bagnato e B. Baseia , Mod. Phys. Lett. B13 ,131 (1999) . [16] H.M. Nussenzveig,“Introduction to Quantum Optics” (Gordon & Breach, NY (1972)), Cap. 4. 30 65 REFERÊNCIAS BIBLIOGRÁFICAS 66 [17] D.T. Pegg, S.M. Barnett, Europhys. Lett., 6, 483 (1988); Phys. Rev. A39, 1665 (1989). B. Baseia, C. Dantas, V. Bagnato, R. Vyas, Phys. Lett. 9 A14, 153 (1994). [18] R. Ragi, V.S. Bagnato and B.Baseia, Intern. Journal of Modern Physics B, 12, 1495(1998). [19] I.A. Malkin e V.I. Man’ko, “Dynamical Symmetries and Coherent States (Nauka, Moscow (1979)). C.C. Gerry e E.E. Hach III, Phys. Lett. A174, 185 (1993); A179, 1 (1993). K. Zaheer e M.R. Wahiddin, J. Mod. Opt. 41, 151 (1994). V.V. Dodonov, V.I. Manko and D.E. Nikorov, Physica 72, 597(74); 51, 3328(95). [20] J.M.C. Malbouisson and B.Baseia, Journal of Modern Optics, 46, 2015(1999). [21] V. Buzek, A. Vidiella-Barranco and P. L. Knight, Phys. Rev. A45, 6570 (1992). [22] M. Brune, S. Haroche, V. Lèfreve, J. M. Raimond and N. Zagury, Phys. Rev. Lett. 65, 876 (1990); M. Brune, S. Haroche, J. M. Raimond, L. Davidovich and N. Zagury, Phys. Rev. A45, 5193 (1992); L. Davidovich, A. Maali, M. Brune, J. M. Raimond and S. Haroche, Phys. Rev. Lett. 71, 2360 (1993); L. Davidovich, M. Brune, J. M. Raimond and S. Haroche, Phys. Rev. A53, 1295 (1996). [23] C.C. Gerry and P.L. Knight, Am. J. Phys., 65, 964(1997). [24] W. Schleich, M.Pernigo and Fan Le Kien, Phys. Rev. A44, 2172 (1991). [25] R.M. Serra, N. G. de Almeida, C.J. Villas-Bôas, and M.H.Y. Moussa, Phys. Rev. A, 62, 0438XX-1(1999). [26] X.T. Zou and L. Mandel, Phys. Rev. A41, 475 (1990). [27] G.S. Argawal and K. Tara, Phys. Rev. A46, 485 (1992). [28] J.M.C. Malbouisson, S. B. Duarte and B.Baseia, Physica A 285, 397(2000) [29] M. Hilllery, R.F. O ’Connell and E.P.Wigner, Phys. Rep. 106, 121(1984). [30] E.C.G. Sudarsham, Phys. Rev. Letters, 10, 277(1963). [31] M. Hillery, Phys. Letters, 111A, 409(1985). [32] C.T. Lee, Phys. Rev. A, 44, 2775(1991) [33] R. Loudon, Rep. Prog. Phys, 43, 58(1980). [34] J. M. Raimond, M. Brune and S. Haroche, Phys. Rev. Lett. 79, 1964 (1997) |
| dc.rights.driver.fl_str_mv | http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:Repositório Institucional da UFG instname:Universidade Federal de Goiás (UFG) instacron:UFG |
| dc.subject.cnpq.fl_str_mv | CIENCIAS EXATAS E DA TERRA::FISICA |
| dc.subject.eng.fl_str_mv | Quantum interference. Phase space. Quantum sculpture. Phase space. Quantum sculpture |
| dc.subject.por.fl_str_mv | Interferência quântica Espaço de fase Escultura quântica |
| dc.title.por.fl_str_mv | Superposição assimétrica de estados coerentes circulares |
| dc.type.driver.fl_str_mv | info:eu-repo/semantics/masterThesis |
| dc.type.status.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | In this paper we present a new quantum state of light, obtained from an asymmetric superposition of coherent states in circular stationary mode. The generation of this state was proposed and the experimental apparatus required is presented. General expressions describing various properties (statistical distribution, variances, atomic inversion, etc..) Were obtained for arbitrary generations. We observed how they behave their properties by varying the phase between the components of superpo- sition states. We show that the statistical properties do not fully characterize the resulting state, showing different states with the same statistics. Alternative ways to distinguish these states were considered. Based on quantum interference in phase space, we show how we can generate an approximation of the number state N2 thru a process called "quantum sculpture,"and check the influence of the stage in this process. Finally, we measured the classicalidade not analyze this state and its representation in phase space. |
| eu_rights_str_mv | openAccess |
| format | masterThesis |
| id | UFG-2_4e13d47cd0f8d87bb68c63d19a7441ff |
| identifier_str_mv | MAIA, Luciano Paulo de Araújo. Superposição assimétrica de estados coerentes circulares. 2002. 68 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2002 . |
| instacron_str | UFG |
| institution | UFG |
| instname_str | Universidade Federal de Goiás (UFG) |
| language | por |
| network_acronym_str | UFG-2 |
| network_name_str | Repositório Institucional da UFG |
| oai_identifier_str | oai:repositorio.bc.ufg.br:tde/2877 |
| publishDate | 2002 |
| publishDateSort | 2002 |
| publisher.none.fl_str_mv | Universidade Federal de Goiás |
| reponame_str | Repositório Institucional da UFG |
| repository.mail.fl_str_mv | grt.bc@ufg.br |
| repository.name.fl_str_mv | Repositório Institucional da UFG - Universidade Federal de Goiás (UFG) |
| repository_id_str | oai:repositorio.bc.ufg.br:tede/1234 |
| rights_invalid_str_mv | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| spelling | Baseia, Basiliohttp://lattes.cnpq.br/5804506385505435http://lattes.cnpq.br/9951950655768948Maia, Luciano Paulo de Araújo2014-08-01T15:13:17Z2002MAIA, Luciano Paulo de Araújo. Superposição assimétrica de estados coerentes circulares. 2002. 68 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2002 .http://repositorio.bc.ufg.br/tede/handle/tde/2877In this paper we present a new quantum state of light, obtained from an asymmetric superposition of coherent states in circular stationary mode. The generation of this state was proposed and the experimental apparatus required is presented. General expressions describing various properties (statistical distribution, variances, atomic inversion, etc..) Were obtained for arbitrary generations. We observed how they behave their properties by varying the phase between the components of superpo- sition states. We show that the statistical properties do not fully characterize the resulting state, showing different states with the same statistics. Alternative ways to distinguish these states were considered. Based on quantum interference in phase space, we show how we can generate an approximation of the number state N2 thru a process called "quantum sculpture,"and check the influence of the stage in this process. Finally, we measured the classicalidade not analyze this state and its representation in phase space.Neste trabalho, apresentamos um novo estado quântico da luz, obtido de uma su- perposição assimétrica de estados coerentes circulares no modo estacionário. A ger- ação deste estado foi proposta e o aparato experimental necessário é apresentado. Expressões gerais descrevendo diversas propriedades (distribuição estatística, vari- anças, inversão atômica, etc.) foram obtidas para arbitrárias gerações. Verificamos como se comportam suas propriedades, variando a fase entre os estados componentes da superposição. Mostramos que as propriedades estatísticas não caracterizam com- pletamente o estado resultante, exibindo estados distintos com mesma estatística. Formas alternativas para distinguir estes estados foram consideradas. Baseado na interferência quântica no espaço de fase, mostramos como podemos gerar uma aprox- imação ao estado de número N2 , atravéz de um processo denominado “escultura quântica” e verificamos a influência da fase neste processo. Finalmente, medimos a não classicalidade deste estado e analisamos a sua representação no espaço de fase.application/pdfhttp://repositorio.bc.ufg.br/tede/retrieve/5897/Disseertacao%20Luciano%20Paulo%20de%20Araujo%20Maia.pdf.jpgporUniversidade Federal de GoiásPrograma de Pós-graduação em Fisica (IF)UFGBrasilInstituto de Física - IF (RG)[1] H. Brown , R.W. Twiss, Nature, 177, 27 (1956). [2] R.J. Glauber, Phys. Rev. 130, 2529 (1963). [3] H.J. Carmichael, D.F. Walls, J Phys. B 9 L43 (1976). [4] L. Mandel, Opt. Lett. 4, 205 (1979); Phys. Scr. T12, 34 (1986); L. Mandel et al., Phys. Rev. Lett., 49, 136 (1982). [5] D. Stoler, Phys. Rev. D, 1, 3217(1970). [6] R.E. Slusher, L.W. Hollberg, B.Yurke, Phys. Rev. Letters, 55, 2409(1985). [7] F.T. Arecchi, E. Gatti, A. Sona, Phys. Rev. Lett. 20, 27 (1966); Phys. Lett. 16, 32 (1966). [8] H.J. Kimble, M. Degenais, L. Mandel, Phys. Rev. Lett. 39, 691 (1977); a previsão teórica: H.J. Carmichael, D.F. Walls, J. Phys. B9, L43 (1976). [9] D. Stoler, Phys. Rev. D1, 3217 (1970). [10] R.E. Slusher et al., Phys. Rev. Lett. 55, 2409 (1985); R.L. Robinson, Science, 230, 927 (1985). [11] E.T. Jaynes, F.W. Cummings: Proc IEEE 51, 89(1963). [12] G. Rempe, H. Walther and N. Klein, Phys. Rev. Lett. 58, 353 (1987). [13] W. Schleich, D.F. Walls e J.A. Wheeler, Phys. Rev. A38, 1177 (1988); Nature, 326, 574 (1987). [14] D.F. Walls, G.J. Milburn, “Quantum Optics”Springer-Verlag,(Berlin, 1994). [15] L. Mandel, E. Wolf, Optical Coherence and Quantun Optics Cambridge Uni. Press, NY(1995). B. Baseia, M.H.Y. Moussa and V.S. Bagnato, Phys. Lett. A240 277(1998); R. Ragi,V.S. Bagnato e B. Baseia , Mod. Phys. Lett. B13 ,131 (1999) . [16] H.M. Nussenzveig,“Introduction to Quantum Optics” (Gordon & Breach, NY (1972)), Cap. 4. 30 65 REFERÊNCIAS BIBLIOGRÁFICAS 66 [17] D.T. Pegg, S.M. Barnett, Europhys. Lett., 6, 483 (1988); Phys. Rev. A39, 1665 (1989). B. Baseia, C. Dantas, V. Bagnato, R. Vyas, Phys. Lett. 9 A14, 153 (1994). [18] R. Ragi, V.S. Bagnato and B.Baseia, Intern. Journal of Modern Physics B, 12, 1495(1998). [19] I.A. Malkin e V.I. Man’ko, “Dynamical Symmetries and Coherent States (Nauka, Moscow (1979)). C.C. Gerry e E.E. Hach III, Phys. Lett. A174, 185 (1993); A179, 1 (1993). K. Zaheer e M.R. Wahiddin, J. Mod. Opt. 41, 151 (1994). V.V. Dodonov, V.I. Manko and D.E. Nikorov, Physica 72, 597(74); 51, 3328(95). [20] J.M.C. Malbouisson and B.Baseia, Journal of Modern Optics, 46, 2015(1999). [21] V. Buzek, A. Vidiella-Barranco and P. L. Knight, Phys. Rev. A45, 6570 (1992). [22] M. Brune, S. Haroche, V. Lèfreve, J. M. Raimond and N. Zagury, Phys. Rev. Lett. 65, 876 (1990); M. Brune, S. Haroche, J. M. Raimond, L. Davidovich and N. Zagury, Phys. Rev. A45, 5193 (1992); L. Davidovich, A. Maali, M. Brune, J. M. Raimond and S. Haroche, Phys. Rev. Lett. 71, 2360 (1993); L. Davidovich, M. Brune, J. M. Raimond and S. Haroche, Phys. Rev. A53, 1295 (1996). [23] C.C. Gerry and P.L. Knight, Am. J. Phys., 65, 964(1997). [24] W. Schleich, M.Pernigo and Fan Le Kien, Phys. Rev. A44, 2172 (1991). [25] R.M. Serra, N. G. de Almeida, C.J. Villas-Bôas, and M.H.Y. Moussa, Phys. Rev. A, 62, 0438XX-1(1999). [26] X.T. Zou and L. Mandel, Phys. Rev. A41, 475 (1990). [27] G.S. Argawal and K. Tara, Phys. Rev. A46, 485 (1992). [28] J.M.C. Malbouisson, S. B. Duarte and B.Baseia, Physica A 285, 397(2000) [29] M. Hilllery, R.F. O ’Connell and E.P.Wigner, Phys. Rep. 106, 121(1984). [30] E.C.G. Sudarsham, Phys. Rev. Letters, 10, 277(1963). [31] M. Hillery, Phys. Letters, 111A, 409(1985). [32] C.T. Lee, Phys. Rev. A, 44, 2775(1991) [33] R. Loudon, Rep. Prog. Phys, 43, 58(1980). [34] J. M. Raimond, M. Brune and S. Haroche, Phys. Rev. Lett. 79, 1964 (1997)1102159680310750095600600600306626487509624506-8327146296503745929http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessInterferência quânticaEspaço de faseEscultura quânticaQuantum interference. Phase space. 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| spellingShingle | Superposição assimétrica de estados coerentes circulares Maia, Luciano Paulo de Araújo Interferência quântica Espaço de fase Escultura quântica Quantum interference. Phase space. Quantum sculpture. Phase space. Quantum sculpture CIENCIAS EXATAS E DA TERRA::FISICA |
| status_str | publishedVersion |
| title | Superposição assimétrica de estados coerentes circulares |
| title_full | Superposição assimétrica de estados coerentes circulares |
| title_fullStr | Superposição assimétrica de estados coerentes circulares |
| title_full_unstemmed | Superposição assimétrica de estados coerentes circulares |
| title_short | Superposição assimétrica de estados coerentes circulares |
| title_sort | Superposição assimétrica de estados coerentes circulares |
| topic | Interferência quântica Espaço de fase Escultura quântica Quantum interference. Phase space. Quantum sculpture. Phase space. Quantum sculpture CIENCIAS EXATAS E DA TERRA::FISICA |
| url | http://repositorio.bc.ufg.br/tede/handle/tde/2877 |