The Mesoscopic Nature of Quantum Dots in Photon Emission

  • P. Tighineanu
  • A. S. Sørensen
  • S. Stobbe
  • P. Lodahl
Chapter
Part of the Nano-Optics and Nanophotonics book series (NON)

Abstract

Semiconductor quantum dots share many properties with atoms such as discrete spectrum, which implies the ability to emit high purity single photons. However, they have unique features as well that are unknown to other emitters: they embody tens of thousands of atoms attaining large mesoscopic sizes, and lack the common atomic symmetries. Here we discuss two effects that are mediated by the mesoscopic nature and render quantum dots fundamentally different than atoms. The mesoscopic size and lack of parity symmetry causes the electric-dipole approximation to not be applicable to In(Ga)As quantum dots. As a consequence, the latter do not fulfil the atomic selection rules and thus interact with the electric and magnetic components of light on the same electronic transition. The multi-atomic nature also causes a collective mesoscopic effect in monolayer-fluctuation GaAs quantum dots, namely single-photon superradiance, giving rise to a giant light-matter coupling strength.

References

  1. 1.
    P. Lodahl, S. Mahmoodian, S. Stobbe, Rev. Mod. Phys. 87, 347 (2015)Google Scholar
  2. 2.
    J.P. Reithmaier, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L.V. Keldysh, V.D. Kulakovskii, T.L. Reinecke, A. Forchel, Nature 432, 197 (2004)Google Scholar
  3. 3.
    E. Peter, P. Senellart, D. Martrou, A. Lemaître, J. Hours, J. Gérard, J. Bloch, Phys. Rev. Lett. 95, 067401 (2005)Google Scholar
  4. 4.
    K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E.L. Hu, A. Imamoğlu, Nature 445, 896 (2007)Google Scholar
  5. 5.
    G. Lecamp, P. Lalanne, J.P. Hugonin, Phys. Rev. Lett. 99, 023902 (2007)Google Scholar
  6. 6.
    T. Lund-Hansen, S. Stobbe, B. Julsgaard, H. Thyrrestrup, T. Sünner, M. Kamp, A. Forchel, P. Lodahl, Phys. Rev. Lett. 101, 113903 (2008)Google Scholar
  7. 7.
    J. Claudon, J. Bleuse, N.S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, J.-M. Gérard, Nat. Photonics 4, 174 (2010)Google Scholar
  8. 8.
    A. Schwagmann, S. Kalliakos, I. Farrer, J.P. Griffiths, G.A.C. Jones, D.A. Ritchie, A.J. Shields, Appl. Phys. Lett. 99, 261108 (2011)Google Scholar
  9. 9.
    A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A.W. Holleitner, M. Kaniber, J.J. Finley, Phys. Rev. X 2, 011014 (2012)Google Scholar
  10. 10.
    M. Arcari, I. Söllner, A. Javadi, S. Lindskov Hansen, S. Mahmoodian, J. Liu, H. Thyrrestrup, E.H. Lee, J.D. Song, S. Stobbe, P. Lodahl, Phys. Rev. Lett. 113, 093603 (2014)Google Scholar
  11. 11.
    E.A. Muljarov, R. Zimmermann, Phys. Rev. Lett. 93, 237401 (2004)Google Scholar
  12. 12.
    B. Urbaszek, E.J. McGhee, M. Krüger, R.J. Warburton, K. Karrai, T. Amand, B.D. Gerardot, P.M. Petroff, J.M. Garcia, Phys. Rev. B 69, 035304 (2004)Google Scholar
  13. 13.
    I. Favero, A. Berthelot, G. Cassabois, C. Voisin, C. Delalande, P. Roussignol, R. Ferreira, J.M. Gérard, Phys. Rev. B 75, 073308 (2007)Google Scholar
  14. 14.
    I. Wilson-Rae, A. Imamoğlu, Phys. Rev. B 65, 235311 (2002)Google Scholar
  15. 15.
    U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, J.J. Finley, Phys. Rev. B 80, 201311 (2009)Google Scholar
  16. 16.
    M. Calic, P. Gallo, M. Felici, K.A. Atlasov, B. Dwir, A. Rudra, G. Biasiol, L. Sorba, G. Tarel, V. Savona, E. Kapon, Phys. Rev. Lett. 106, 227402 (2011)Google Scholar
  17. 17.
    K.H. Madsen, P. Kaer, A. Kreiner-Møller, S. Stobbe, A. Nysteen, J. Mørk, P. Lodahl, Phys. Rev. B 88, 045316 (2013)Google Scholar
  18. 18.
    P. Kaer, P. Lodahl, A.-P. Jauho, J. Mork, Phys. Rev. B 87, 081308 (2013)Google Scholar
  19. 19.
    E. Chekhovich, M. Makhonin, A. Tartakovskii, A. Yacoby, H. Bluhm, K. Nowack, L. Vandersypen, Nat. Mater. 12, 494 (2013)Google Scholar
  20. 20.
    M.L. Andersen, S. Stobbe, A.S. Sørensen, P. Lodahl, Nat. Phys. 7, 215 (2011)Google Scholar
  21. 21.
    P. Tighineanu, M.L. Andersen, A.S. Sørensen, S. Stobbe, P. Lodahl, Phys. Rev. Lett. 113, 043601 (2014)Google Scholar
  22. 22.
    P. Tighineanu, A.S. Sørensen, S. Stobbe, P. Lodahl, Phys. Rev. Lett. 114, 247401 (2015)Google Scholar
  23. 23.
    P. Tighineanu, R.S. Daveau, T.B. Lehmann, H.E. Beere, D.A. Ritchie, P. Lodahl, S. Stobbe, Phys. Rev. Lett. 116, 163604 (2016)Google Scholar
  24. 24.
    D. Bruls, J. Vugs, P. Koenraad, H. Salemink, J. Wolter, M. Hopkinson, M. Skolnick, F. Long, S. Gill, Appl. Phys. Lett. 81, 1708 (2002)Google Scholar
  25. 25.
    S. Stobbe, P.T. Kristensen, J.E. Mortensen, J.M. Hvam, J. Mørk, P. Lodahl, Phys. Rev. B 86, 085304 (2012)Google Scholar
  26. 26.
    J.R. Zurita-Sánchez, L. Novotny, JOSA B 19, 1355 (2002)Google Scholar
  27. 27.
    J.R. Zurita-Sánchez, L. Novotny, JOSA B 19, 2722 (2002)Google Scholar
  28. 28.
    S.V. Goupalov, Phys. Rev. B 68, 125311 (2003)Google Scholar
  29. 29.
    M. Sugawara, Phys. Rev. B 51, 10743 (1995)Google Scholar
  30. 30.
    A. Thränhardt, C. Ell, G. Khitrova, H.M. Gibbs, Phys. Rev. B 65, 035327 (2002)Google Scholar
  31. 31.
    K. Jun Ahn, A. Knorr, Phys. Rev. B 68, 161307 (2003)Google Scholar
  32. 32.
    P.T. Kristensen, J.E. Mortensen, P. Lodahl, S. Stobbe, Phys. Rev. B 88, 205308 (2013)Google Scholar
  33. 33.
    M. Cotrufo, A. Fiore, Phys. Rev. B 92, 125302 (2015)Google Scholar
  34. 34.
    E. Rashba, G. Gurgenishvili, Sov. Phys. Solid State 4, 759 (1962)Google Scholar
  35. 35.
    J. Hours, P. Senellart, E. Peter, A. Cavanna, J. Bloch, Phys. Rev. B 71, 161306 (2005)Google Scholar
  36. 36.
    L.C. Andreani, G. Panzarini, J.-M. Gérard, Phys. Rev. B 60, 13276 (1999)Google Scholar
  37. 37.
    J. Guest, T. Stievater, X. Li, J. Cheng, D. Steel, D. Gammon, D. Katzer, D. Park, C. Ell, A. Thränhardt, G. Khitrova, H.M. Gibbs, Phys. Rev. B 65, 241310 (2002)Google Scholar
  38. 38.
    D. Gammon, E. Snow, B. Shanabrook, D. Katzer, D. Park, Phys. Rev. Lett. 76, 3005 (1996)Google Scholar
  39. 39.
    R. Dicke, Phys. Rev. 93, 99 (1954)Google Scholar
  40. 40.
    D.A.B. Miller, Quantum Mechanics for Scientists and Engineers (Cambridge University Press, Cambridge, 2007)Google Scholar
  41. 41.
    P. Harrison, Quantum Wells, Wires and Dots: Theoretical and Computational Physics of Semiconductor Nanostructures (Wiley, New York, 2005)Google Scholar
  42. 42.
    P. Tighineanu, R. Daveau, E.H. Lee, J.D. Song, S. Stobbe, P. Lodahl, Phys. Rev. B 88, 155320 (2013)Google Scholar
  43. 43.
    J. Dreiser, M. Atatüre, C. Galland, T. Müller, A. Badolato, A. Imamoglu, Phys. Rev. B 77, 075317 (2008)Google Scholar
  44. 44.
    O. Stier, M. Grundmann, D. Bimberg, Phys. Rev. B 59, 5688 (1999)Google Scholar
  45. 45.
    K. Sivalertporn, L. Mouchliadis, A.L. Ivanov, R. Philp, E.A. Muljarov, Phys. Rev. B 85, 045207 (2012)Google Scholar
  46. 46.
    S. Schmitt-Rink, D.A.B. Miller, D.S. Chemla, Phys. Rev. B 35, 8113 (1987)Google Scholar
  47. 47.
    G. Bester, S. Nair, A. Zunger, Phys. Rev. B 67, 161306 (2003)Google Scholar
  48. 48.
    M. Bayer, G. Ortner, O. Stern, A. Kuther, A.A. Gorbunov, A. Forchel, P. Hawrylak, S. Fafard, K. Hinzer, T.L. Reinecke, S.N. Walck, J.P. Reithmaier, F. Klopf, F. Schäfer, Phys. Rev. B 65, 195315 (2002)Google Scholar
  49. 49.
    D.P. Craig, T. Thirunamachandran, Molecular Quantum Electrodynamics: An Introduction to Radiation-Molecule Interactions (Courier Dover Publications, New York, 1998)Google Scholar
  50. 50.
    P. Tighineanu, Electric and Magnetic Interaction Between Quantum Dots and Light. Ph.D. thesis, The Niels Bohr Institute, Faculty of Science, University of Copenhagen (2015)Google Scholar
  51. 51.
    N. Vats, S. John, K. Busch, Phys. Rev. A 65, 043808 (2002)Google Scholar
  52. 52.
    L. Novotny, B. Hecht, Principles of Nano-Optics (Cambridge University Press, Cambridge, 2012)Google Scholar
  53. 53.
    J. Johansen, S. Stobbe, I.S. Nikolaev, T. Lund-Hansen, P.T. Kristensen, J.M. Hvam, W.L. Vos, P. Lodahl, Phys. Rev. B 77, 073303 (2008)Google Scholar
  54. 54.
    D. Englund, A. Faraon, I. Fushman, N. Stoltz, P. Petroff, J. Vučković, Nature 450, 857 (2007)Google Scholar
  55. 55.
    N. Somaschi, V. Giesz, L. De Santis, J. Loredo, M. Almeida, G. Hornecker, S. Portalupi, T. Grange, C. Antón, J. Demory, C. Gómez, I. Sagnes, N. Lanzillotti-Kimura, A. Lemaitre, A. Auffeves, A. White, L. Lanco, P. Senellart, Nat. Photonics 10, 340 (2016)Google Scholar
  56. 56.
    A.G. Curto, T.H. Taminiau, G. Volpe, M.P. Kreuzer, R. Quidant, N.F. van Hulst, Nat. Commun. 4, 1750 (2013)Google Scholar
  57. 57.
    P. Yao, V. Manga Rao, S. Hughes, Laser Photonics Rev. 4, 499 (2010)Google Scholar
  58. 58.
    S. Stobbe, J. Johansen, P.T. Kristensen, J.M. Hvam, P. Lodahl, Phys. Rev. B 80, 155307 (2009)Google Scholar
  59. 59.
    J. Johansen, B. Julsgaard, S. Stobbe, J.M. Hvam, P. Lodahl, Phys. Rev. B 81, 081304 (2010)Google Scholar
  60. 60.
    S. DeBeer George, T. Petrenko, F. Neese, Inorganica Chimica Acta 361, 965 (2008)Google Scholar
  61. 61.
    S. Bernadotte, A.J. Atkins, C.R. Jacob, J. Chem. Phys. 137, 204106 (2012)Google Scholar
  62. 62.
    H. Eisele, A. Lenz, R. Heitz, R. Timm, M. Dähne, Y. Temko, T. Suzuki, K. Jacobi, J. Appl. Phys. 104, 124301 (2008)Google Scholar
  63. 63.
    M. Noecker, B. Masterson, C. Wieman, Phys. Rev. Lett. 61, 310 (1988)Google Scholar
  64. 64.
    I.D. Rukhlenko, D. Handapangoda, M. Premaratne, A.V. Fedorov, A.V. Baranov, C. Jagadish, Opt. Express 17, 17570 (2009)Google Scholar
  65. 65.
    T.H. Taminiau, S. Karaveli, N.F. van Hulst, R. Zia, Nat. Commun. 3, 979 (2012)Google Scholar
  66. 66.
    G.Y. Slepyan, A. Magyarov, S.A. Maksimenko, A. Hoffmann, Phys. Rev. B 76, 195328 (2007)Google Scholar
  67. 67.
    J. Kalkman, H. Gersen, L. Kuipers, A. Polman, Phys. Rev. B 73, 075317 (2006)Google Scholar
  68. 68.
    D.E. Chang, A.S. Sørensen, P.R. Hemmer, M.D. Lukin, Phys. Rev. B 76, 035420 (2007)Google Scholar
  69. 69.
    L.D. Landau, E.M. Lifšic, J.B. Sykes, J.S. Bell, M. Kearsley, L.P. Pitaevskii, Electrodynamics of Continuous Media (Pergamon Press, Oxford, 1960)Google Scholar
  70. 70.
    E. Hanamura, Phys. Rev. B 37, 1273 (1988)Google Scholar
  71. 71.
    E. Poem, Y. Kodriano, C. Tradonsky, N.H. Lindner, B.D. Gerardot, P.M. Petroff, D. Gershoni, Nat. Phys. 6, 993 (2010)Google Scholar
  72. 72.
    C. Gerry, P. Knight, Introductory Quantum Optics (Cambridge University Press, Cambridge, 2005)Google Scholar
  73. 73.
    M. Davanço, C.S. Hellberg, S. Ates, A. Badolato, K. Srinivasan, Phys. Rev. B 89, 161303 (2014)Google Scholar
  74. 74.
    W. Que, Phys. Rev. B 45, 11036 (1992)Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • P. Tighineanu
    • 1
  • A. S. Sørensen
    • 1
  • S. Stobbe
    • 1
  • P. Lodahl
    • 1
  1. 1.The Niels Bohr InstituteUniversity of CopenhagenCopenhagenDenmark

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