Abstract

We present investigations on the coherence of the emission from the fundamental mode of an AlGaInAs/GaAs quantum-dot microcavity laser. We measure the first-order field-correlation function g(1)(τ) with a Michelson interferometer, from which we determine coherence times of up to 20ns for the highest pump powers. To fully characterize the coherence properties of the cavity emission, we apply a phenomenological model that connects the first- and second-order correlation functions. Hereby it is possible to overcome the limited sensitivity of the streak camera used for photon-correlation measurements, and thus to extend the accessible excitation-power range for g(2)(τ) down to the thermal regime.

© 2011 Optical Society of America

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  1. S. Reitzenstein and A. Forchel, “Quantum dot micropillars,” J. Phys. D: Appl. Phys. 43, 033001 (2010).
    [CrossRef]
  2. S. Reitzenstein, C. Böckler, A. Bazhenov, A. Gorbunov, A. Löffler, M. Kamp, V. D. Kulakovskii, and A. Forchel, “Single quantum dot controlled lasing effects in high-Q micropillar cavities,” Opt. Express 16, 4848–4848 (2008).
    [CrossRef] [PubMed]
  3. J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
    [CrossRef] [PubMed]
  4. S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
    [CrossRef]
  5. A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
    [CrossRef]
  6. S. Ates, S. M. Ulrich, P. Michler, S. Reitzenstein, A. Löffler, and A. Forchel, “Coherence properties of high-β elliptical semiconductor micropillar lasers,” Appl. Phys. Lett. 90, 161111 (2007).
    [CrossRef]
  7. S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
    [CrossRef]
  8. S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
    [CrossRef] [PubMed]
  9. S. Ates, C. Gies, S. M. Ulrich, J. Wiersig, S. Reitzenstein, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Influence of the spontaneous optical emission factor β on the first-order coherence of a semiconductor microcavity laser,” Phys. Rev. B 78, 155319 (2008).
    [CrossRef]
  10. J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, “Quantum boxes as active probes for photonic microstructures: the pillar microcavity case,” Appl. Phys. Lett. 69, 449–451 (1996).
    [CrossRef]
  11. B. Gayral, J. M. Gérard, B. Legrand, E. Costard, and V. Thierry-Mieg, “Optical study of GaAs/AlAs pillar microcavities with elliptical cross section,” Appl. Phys. Lett. 72, 1421–1423(1998).
    [CrossRef]
  12. R. Loudon, The Quantum Theory of Light (Clarendon, 1973).
  13. J. Wiersig, “Microscopic theory of first-order coherence in microcavity lasers based on semiconductor quantum dots,” Phys. Rev. B 82, 155320 (2010).
    [CrossRef]
  14. M. Aßmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, “Ultrafast tracking of second-order photon correlations in the emission of quantum-dot microresonator lasers,” Phys. Rev. B 81, 165314 (2010).
    [CrossRef]
  15. M. Aßmann, F. Veit, J.-S. Tempel, T. Berstermann, H. Stolz, M. van der Poel, J. M. Hvam, and M. Bayer, “Measuring the dynamics of second-order correlation functions inside a pulse with picosecond time resolution,” Opt. Express 18, 20229–20241(2010).
    [CrossRef] [PubMed]
  16. H. J. Carmichael, P. Drummond, P. Meystre, and D. F. Walls, “Intensity correlations in resonance fluorescence with atomic number fluctuations,” J. Phys. A: Math. Gen. 11, L121–L126(1978).
    [CrossRef]
  17. R. Loudon, “Non-classical effects in the statistical properties of light,” Rep. Prog. Phys. 43, 913–913 (1980).
    [CrossRef]
  18. P. Michler, A. Imamoğlu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
    [CrossRef] [PubMed]
  19. With the photon lifetime τ0, the effective coherence time of the system is τc,eff−1=(2τ0)−1+τc−1.
  20. We note that our model cannot describe the oscillatory behavior observed in the experimental data. Possible origins of these oscillations have been discussed in .
  21. C. Gies, J. Wiersig, M. Lorke, and F. Jahnke, “Semiconductor model for quantum-dot-based microcavity lasers,” Phys. Rev. A 75, 013803 (2007).
    [CrossRef]
  22. U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, and J. J. Finley, “Phonon-assisted transitions from quantum dot excitons to cavity photons,” Phys. Rev. B 80, 201311 (2009).
    [CrossRef]
  23. C. Santori, D. Fattal, J. Vučković, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
    [CrossRef] [PubMed]

2010 (4)

J. Wiersig, “Microscopic theory of first-order coherence in microcavity lasers based on semiconductor quantum dots,” Phys. Rev. B 82, 155320 (2010).
[CrossRef]

M. Aßmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, “Ultrafast tracking of second-order photon correlations in the emission of quantum-dot microresonator lasers,” Phys. Rev. B 81, 165314 (2010).
[CrossRef]

S. Reitzenstein and A. Forchel, “Quantum dot micropillars,” J. Phys. D: Appl. Phys. 43, 033001 (2010).
[CrossRef]

M. Aßmann, F. Veit, J.-S. Tempel, T. Berstermann, H. Stolz, M. van der Poel, J. M. Hvam, and M. Bayer, “Measuring the dynamics of second-order correlation functions inside a pulse with picosecond time resolution,” Opt. Express 18, 20229–20241(2010).
[CrossRef] [PubMed]

2009 (3)

U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, and J. J. Finley, “Phonon-assisted transitions from quantum dot excitons to cavity photons,” Phys. Rev. B 80, 201311 (2009).
[CrossRef]

A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
[CrossRef]

J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

2008 (2)

S. Ates, C. Gies, S. M. Ulrich, J. Wiersig, S. Reitzenstein, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Influence of the spontaneous optical emission factor β on the first-order coherence of a semiconductor microcavity laser,” Phys. Rev. B 78, 155319 (2008).
[CrossRef]

S. Reitzenstein, C. Böckler, A. Bazhenov, A. Gorbunov, A. Löffler, M. Kamp, V. D. Kulakovskii, and A. Forchel, “Single quantum dot controlled lasing effects in high-Q micropillar cavities,” Opt. Express 16, 4848–4848 (2008).
[CrossRef] [PubMed]

2007 (4)

S. Ates, S. M. Ulrich, P. Michler, S. Reitzenstein, A. Löffler, and A. Forchel, “Coherence properties of high-β elliptical semiconductor micropillar lasers,” Appl. Phys. Lett. 90, 161111 (2007).
[CrossRef]

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef] [PubMed]

C. Gies, J. Wiersig, M. Lorke, and F. Jahnke, “Semiconductor model for quantum-dot-based microcavity lasers,” Phys. Rev. A 75, 013803 (2007).
[CrossRef]

2006 (1)

S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
[CrossRef]

2002 (1)

C. Santori, D. Fattal, J. Vučković, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
[CrossRef] [PubMed]

2000 (1)

P. Michler, A. Imamoğlu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

1998 (1)

B. Gayral, J. M. Gérard, B. Legrand, E. Costard, and V. Thierry-Mieg, “Optical study of GaAs/AlAs pillar microcavities with elliptical cross section,” Appl. Phys. Lett. 72, 1421–1423(1998).
[CrossRef]

1996 (1)

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, “Quantum boxes as active probes for photonic microstructures: the pillar microcavity case,” Appl. Phys. Lett. 69, 449–451 (1996).
[CrossRef]

1980 (1)

R. Loudon, “Non-classical effects in the statistical properties of light,” Rep. Prog. Phys. 43, 913–913 (1980).
[CrossRef]

1978 (1)

H. J. Carmichael, P. Drummond, P. Meystre, and D. F. Walls, “Intensity correlations in resonance fluorescence with atomic number fluctuations,” J. Phys. A: Math. Gen. 11, L121–L126(1978).
[CrossRef]

Aßmann, M.

M. Aßmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, “Ultrafast tracking of second-order photon correlations in the emission of quantum-dot microresonator lasers,” Phys. Rev. B 81, 165314 (2010).
[CrossRef]

M. Aßmann, F. Veit, J.-S. Tempel, T. Berstermann, H. Stolz, M. van der Poel, J. M. Hvam, and M. Bayer, “Measuring the dynamics of second-order correlation functions inside a pulse with picosecond time resolution,” Opt. Express 18, 20229–20241(2010).
[CrossRef] [PubMed]

J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

Ates, S.

S. Ates, C. Gies, S. M. Ulrich, J. Wiersig, S. Reitzenstein, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Influence of the spontaneous optical emission factor β on the first-order coherence of a semiconductor microcavity laser,” Phys. Rev. B 78, 155319 (2008).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef] [PubMed]

S. Ates, S. M. Ulrich, P. Michler, S. Reitzenstein, A. Löffler, and A. Forchel, “Coherence properties of high-β elliptical semiconductor micropillar lasers,” Appl. Phys. Lett. 90, 161111 (2007).
[CrossRef]

Barrier, D.

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, “Quantum boxes as active probes for photonic microstructures: the pillar microcavity case,” Appl. Phys. Lett. 69, 449–451 (1996).
[CrossRef]

Bayer, M.

M. Aßmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, “Ultrafast tracking of second-order photon correlations in the emission of quantum-dot microresonator lasers,” Phys. Rev. B 81, 165314 (2010).
[CrossRef]

M. Aßmann, F. Veit, J.-S. Tempel, T. Berstermann, H. Stolz, M. van der Poel, J. M. Hvam, and M. Bayer, “Measuring the dynamics of second-order correlation functions inside a pulse with picosecond time resolution,” Opt. Express 18, 20229–20241(2010).
[CrossRef] [PubMed]

J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

Bazhenov, A.

S. Reitzenstein, C. Böckler, A. Bazhenov, A. Gorbunov, A. Löffler, M. Kamp, V. D. Kulakovskii, and A. Forchel, “Single quantum dot controlled lasing effects in high-Q micropillar cavities,” Opt. Express 16, 4848–4848 (2008).
[CrossRef] [PubMed]

S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
[CrossRef]

Berstermann, T.

M. Aßmann, F. Veit, J.-S. Tempel, T. Berstermann, H. Stolz, M. van der Poel, J. M. Hvam, and M. Bayer, “Measuring the dynamics of second-order correlation functions inside a pulse with picosecond time resolution,” Opt. Express 18, 20229–20241(2010).
[CrossRef] [PubMed]

J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

Bichler, M.

U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, and J. J. Finley, “Phonon-assisted transitions from quantum dot excitons to cavity photons,” Phys. Rev. B 80, 201311 (2009).
[CrossRef]

Bloch, J.

A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
[CrossRef]

Böckler, C.

Braive, R.

A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
[CrossRef]

Buratto, S. K.

P. Michler, A. Imamoğlu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

Carmichael, H. J.

H. J. Carmichael, P. Drummond, P. Meystre, and D. F. Walls, “Intensity correlations in resonance fluorescence with atomic number fluctuations,” J. Phys. A: Math. Gen. 11, L121–L126(1978).
[CrossRef]

Carson, P. J.

P. Michler, A. Imamoğlu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

Costard, E.

B. Gayral, J. M. Gérard, B. Legrand, E. Costard, and V. Thierry-Mieg, “Optical study of GaAs/AlAs pillar microcavities with elliptical cross section,” Appl. Phys. Lett. 72, 1421–1423(1998).
[CrossRef]

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, “Quantum boxes as active probes for photonic microstructures: the pillar microcavity case,” Appl. Phys. Lett. 69, 449–451 (1996).
[CrossRef]

Dousse, A.

A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
[CrossRef]

Drummond, P.

H. J. Carmichael, P. Drummond, P. Meystre, and D. F. Walls, “Intensity correlations in resonance fluorescence with atomic number fluctuations,” J. Phys. A: Math. Gen. 11, L121–L126(1978).
[CrossRef]

Fattal, D.

C. Santori, D. Fattal, J. Vučković, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
[CrossRef] [PubMed]

Finley, J. J.

U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, and J. J. Finley, “Phonon-assisted transitions from quantum dot excitons to cavity photons,” Phys. Rev. B 80, 201311 (2009).
[CrossRef]

Forchel, A.

S. Reitzenstein and A. Forchel, “Quantum dot micropillars,” J. Phys. D: Appl. Phys. 43, 033001 (2010).
[CrossRef]

M. Aßmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, “Ultrafast tracking of second-order photon correlations in the emission of quantum-dot microresonator lasers,” Phys. Rev. B 81, 165314 (2010).
[CrossRef]

J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

S. Ates, C. Gies, S. M. Ulrich, J. Wiersig, S. Reitzenstein, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Influence of the spontaneous optical emission factor β on the first-order coherence of a semiconductor microcavity laser,” Phys. Rev. B 78, 155319 (2008).
[CrossRef]

S. Reitzenstein, C. Böckler, A. Bazhenov, A. Gorbunov, A. Löffler, M. Kamp, V. D. Kulakovskii, and A. Forchel, “Single quantum dot controlled lasing effects in high-Q micropillar cavities,” Opt. Express 16, 4848–4848 (2008).
[CrossRef] [PubMed]

S. Ates, S. M. Ulrich, P. Michler, S. Reitzenstein, A. Löffler, and A. Forchel, “Coherence properties of high-β elliptical semiconductor micropillar lasers,” Appl. Phys. Lett. 90, 161111 (2007).
[CrossRef]

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef] [PubMed]

S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
[CrossRef]

Gayral, B.

B. Gayral, J. M. Gérard, B. Legrand, E. Costard, and V. Thierry-Mieg, “Optical study of GaAs/AlAs pillar microcavities with elliptical cross section,” Appl. Phys. Lett. 72, 1421–1423(1998).
[CrossRef]

Gérard, J. M.

B. Gayral, J. M. Gérard, B. Legrand, E. Costard, and V. Thierry-Mieg, “Optical study of GaAs/AlAs pillar microcavities with elliptical cross section,” Appl. Phys. Lett. 72, 1421–1423(1998).
[CrossRef]

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, “Quantum boxes as active probes for photonic microstructures: the pillar microcavity case,” Appl. Phys. Lett. 69, 449–451 (1996).
[CrossRef]

Gies, C.

M. Aßmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, “Ultrafast tracking of second-order photon correlations in the emission of quantum-dot microresonator lasers,” Phys. Rev. B 81, 165314 (2010).
[CrossRef]

J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

S. Ates, C. Gies, S. M. Ulrich, J. Wiersig, S. Reitzenstein, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Influence of the spontaneous optical emission factor β on the first-order coherence of a semiconductor microcavity laser,” Phys. Rev. B 78, 155319 (2008).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef] [PubMed]

C. Gies, J. Wiersig, M. Lorke, and F. Jahnke, “Semiconductor model for quantum-dot-based microcavity lasers,” Phys. Rev. A 75, 013803 (2007).
[CrossRef]

Gorbunov, A.

S. Reitzenstein, C. Böckler, A. Bazhenov, A. Gorbunov, A. Löffler, M. Kamp, V. D. Kulakovskii, and A. Forchel, “Single quantum dot controlled lasing effects in high-Q micropillar cavities,” Opt. Express 16, 4848–4848 (2008).
[CrossRef] [PubMed]

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
[CrossRef]

Hauke, N.

U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, and J. J. Finley, “Phonon-assisted transitions from quantum dot excitons to cavity photons,” Phys. Rev. B 80, 201311 (2009).
[CrossRef]

Höfling, S.

M. Aßmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, “Ultrafast tracking of second-order photon correlations in the emission of quantum-dot microresonator lasers,” Phys. Rev. B 81, 165314 (2010).
[CrossRef]

J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

Hofmann, C.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef] [PubMed]

S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
[CrossRef]

Hohenester, U.

U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, and J. J. Finley, “Phonon-assisted transitions from quantum dot excitons to cavity photons,” Phys. Rev. B 80, 201311 (2009).
[CrossRef]

Hommel, D.

J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

Hvam, J. M.

Imamoglu, A.

P. Michler, A. Imamoğlu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

Jahnke, F.

M. Aßmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, “Ultrafast tracking of second-order photon correlations in the emission of quantum-dot microresonator lasers,” Phys. Rev. B 81, 165314 (2010).
[CrossRef]

J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

S. Ates, C. Gies, S. M. Ulrich, J. Wiersig, S. Reitzenstein, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Influence of the spontaneous optical emission factor β on the first-order coherence of a semiconductor microcavity laser,” Phys. Rev. B 78, 155319 (2008).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef] [PubMed]

C. Gies, J. Wiersig, M. Lorke, and F. Jahnke, “Semiconductor model for quantum-dot-based microcavity lasers,” Phys. Rev. A 75, 013803 (2007).
[CrossRef]

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J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

Kamp, M.

S. Reitzenstein, C. Böckler, A. Bazhenov, A. Gorbunov, A. Löffler, M. Kamp, V. D. Kulakovskii, and A. Forchel, “Single quantum dot controlled lasing effects in high-Q micropillar cavities,” Opt. Express 16, 4848–4848 (2008).
[CrossRef] [PubMed]

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
[CrossRef]

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U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, and J. J. Finley, “Phonon-assisted transitions from quantum dot excitons to cavity photons,” Phys. Rev. B 80, 201311 (2009).
[CrossRef]

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J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

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J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

Kulakovskii, V. D.

S. Reitzenstein, C. Böckler, A. Bazhenov, A. Gorbunov, A. Löffler, M. Kamp, V. D. Kulakovskii, and A. Forchel, “Single quantum dot controlled lasing effects in high-Q micropillar cavities,” Opt. Express 16, 4848–4848 (2008).
[CrossRef] [PubMed]

S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
[CrossRef]

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J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, “Quantum boxes as active probes for photonic microstructures: the pillar microcavity case,” Appl. Phys. Lett. 69, 449–451 (1996).
[CrossRef]

Kwon, S. H.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

Lanco, L.

A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
[CrossRef]

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U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, and J. J. Finley, “Phonon-assisted transitions from quantum dot excitons to cavity photons,” Phys. Rev. B 80, 201311 (2009).
[CrossRef]

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B. Gayral, J. M. Gérard, B. Legrand, E. Costard, and V. Thierry-Mieg, “Optical study of GaAs/AlAs pillar microcavities with elliptical cross section,” Appl. Phys. Lett. 72, 1421–1423(1998).
[CrossRef]

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A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
[CrossRef]

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S. Ates, C. Gies, S. M. Ulrich, J. Wiersig, S. Reitzenstein, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Influence of the spontaneous optical emission factor β on the first-order coherence of a semiconductor microcavity laser,” Phys. Rev. B 78, 155319 (2008).
[CrossRef]

S. Reitzenstein, C. Böckler, A. Bazhenov, A. Gorbunov, A. Löffler, M. Kamp, V. D. Kulakovskii, and A. Forchel, “Single quantum dot controlled lasing effects in high-Q micropillar cavities,” Opt. Express 16, 4848–4848 (2008).
[CrossRef] [PubMed]

S. Ates, S. M. Ulrich, P. Michler, S. Reitzenstein, A. Löffler, and A. Forchel, “Coherence properties of high-β elliptical semiconductor micropillar lasers,” Appl. Phys. Lett. 90, 161111 (2007).
[CrossRef]

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef] [PubMed]

S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
[CrossRef]

Lorke, M.

C. Gies, J. Wiersig, M. Lorke, and F. Jahnke, “Semiconductor model for quantum-dot-based microcavity lasers,” Phys. Rev. A 75, 013803 (2007).
[CrossRef]

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J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, “Quantum boxes as active probes for photonic microstructures: the pillar microcavity case,” Appl. Phys. Lett. 69, 449–451 (1996).
[CrossRef]

Marzin, J. Y.

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, “Quantum boxes as active probes for photonic microstructures: the pillar microcavity case,” Appl. Phys. Lett. 69, 449–451 (1996).
[CrossRef]

Mason, M. D.

P. Michler, A. Imamoğlu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

Meystre, P.

H. J. Carmichael, P. Drummond, P. Meystre, and D. F. Walls, “Intensity correlations in resonance fluorescence with atomic number fluctuations,” J. Phys. A: Math. Gen. 11, L121–L126(1978).
[CrossRef]

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A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
[CrossRef]

Michler, P.

S. Ates, C. Gies, S. M. Ulrich, J. Wiersig, S. Reitzenstein, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Influence of the spontaneous optical emission factor β on the first-order coherence of a semiconductor microcavity laser,” Phys. Rev. B 78, 155319 (2008).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef] [PubMed]

S. Ates, S. M. Ulrich, P. Michler, S. Reitzenstein, A. Löffler, and A. Forchel, “Coherence properties of high-β elliptical semiconductor micropillar lasers,” Appl. Phys. Lett. 90, 161111 (2007).
[CrossRef]

P. Michler, A. Imamoğlu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
[CrossRef] [PubMed]

Mohtashami, A.

U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, and J. J. Finley, “Phonon-assisted transitions from quantum dot excitons to cavity photons,” Phys. Rev. B 80, 201311 (2009).
[CrossRef]

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S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
[CrossRef]

Neumann, A.

U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, and J. J. Finley, “Phonon-assisted transitions from quantum dot excitons to cavity photons,” Phys. Rev. B 80, 201311 (2009).
[CrossRef]

Reithmaier, J. P.

S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
[CrossRef]

Reitzenstein, S.

M. Aßmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, “Ultrafast tracking of second-order photon correlations in the emission of quantum-dot microresonator lasers,” Phys. Rev. B 81, 165314 (2010).
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S. Reitzenstein and A. Forchel, “Quantum dot micropillars,” J. Phys. D: Appl. Phys. 43, 033001 (2010).
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J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

S. Ates, C. Gies, S. M. Ulrich, J. Wiersig, S. Reitzenstein, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Influence of the spontaneous optical emission factor β on the first-order coherence of a semiconductor microcavity laser,” Phys. Rev. B 78, 155319 (2008).
[CrossRef]

S. Reitzenstein, C. Böckler, A. Bazhenov, A. Gorbunov, A. Löffler, M. Kamp, V. D. Kulakovskii, and A. Forchel, “Single quantum dot controlled lasing effects in high-Q micropillar cavities,” Opt. Express 16, 4848–4848 (2008).
[CrossRef] [PubMed]

S. Ates, S. M. Ulrich, P. Michler, S. Reitzenstein, A. Löffler, and A. Forchel, “Coherence properties of high-β elliptical semiconductor micropillar lasers,” Appl. Phys. Lett. 90, 161111 (2007).
[CrossRef]

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef] [PubMed]

S. Reitzenstein, A. Bazhenov, A. Gorbunov, C. Hofmann, S. Münch, A. Löffler, M. Kamp, J. P. Reithmaier, V. D. Kulakovskii, and A. Forchel, “Lasing in high-Q quantum-dot micropillar cavities,” Appl. Phys. Lett. 89, 051107 (2006).
[CrossRef]

Rivera, T.

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, “Quantum boxes as active probes for photonic microstructures: the pillar microcavity case,” Appl. Phys. Lett. 69, 449–451 (1996).
[CrossRef]

Sagnes, I.

A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
[CrossRef]

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C. Santori, D. Fattal, J. Vučković, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
[CrossRef] [PubMed]

Schneider, C.

J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

Seliger, M.

U. Hohenester, A. Laucht, M. Kaniber, N. Hauke, A. Neumann, A. Mohtashami, M. Seliger, M. Bichler, and J. J. Finley, “Phonon-assisted transitions from quantum dot excitons to cavity photons,” Phys. Rev. B 80, 201311 (2009).
[CrossRef]

Senellart, P.

A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
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C. Santori, D. Fattal, J. Vučković, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
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Stolz, H.

Strauss, M.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, “AlAs/GaAs micropillar cavities with quality factors exceeding 150.000,” Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

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P. Michler, A. Imamoğlu, M. D. Mason, P. J. Carson, G. F. Strouse, and S. K. Buratto, “Quantum correlation among photons from a single quantum dot at room temperature,” Nature 406, 968–970 (2000).
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A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
[CrossRef]

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Thierry-Mieg, V.

B. Gayral, J. M. Gérard, B. Legrand, E. Costard, and V. Thierry-Mieg, “Optical study of GaAs/AlAs pillar microcavities with elliptical cross section,” Appl. Phys. Lett. 72, 1421–1423(1998).
[CrossRef]

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, “Quantum boxes as active probes for photonic microstructures: the pillar microcavity case,” Appl. Phys. Lett. 69, 449–451 (1996).
[CrossRef]

Ulrich, S. M.

S. Ates, C. Gies, S. M. Ulrich, J. Wiersig, S. Reitzenstein, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Influence of the spontaneous optical emission factor β on the first-order coherence of a semiconductor microcavity laser,” Phys. Rev. B 78, 155319 (2008).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef] [PubMed]

S. Ates, S. M. Ulrich, P. Michler, S. Reitzenstein, A. Löffler, and A. Forchel, “Coherence properties of high-β elliptical semiconductor micropillar lasers,” Appl. Phys. Lett. 90, 161111 (2007).
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Veit, F.

M. Aßmann, F. Veit, J.-S. Tempel, T. Berstermann, H. Stolz, M. van der Poel, J. M. Hvam, and M. Bayer, “Measuring the dynamics of second-order correlation functions inside a pulse with picosecond time resolution,” Opt. Express 18, 20229–20241(2010).
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M. Aßmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, “Ultrafast tracking of second-order photon correlations in the emission of quantum-dot microresonator lasers,” Phys. Rev. B 81, 165314 (2010).
[CrossRef]

Voisin, P.

A. Dousse, J. Suffczyński, R. Braive, A. Miard, A. Lemaître, I. Sagnes, L. Lanco, J. Bloch, P. Voisin, and P. Senellart, “Scalable implementation of strongly coupled cavity-quantum dot devices,” Appl. Phys. Lett. 94, 121102 (2009).
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C. Santori, D. Fattal, J. Vučković, G. S. Solomon, and Y. Yamamoto, “Indistinguishable photons from a single-photon device,” Nature 419, 594–597 (2002).
[CrossRef] [PubMed]

Walls, D. F.

H. J. Carmichael, P. Drummond, P. Meystre, and D. F. Walls, “Intensity correlations in resonance fluorescence with atomic number fluctuations,” J. Phys. A: Math. Gen. 11, L121–L126(1978).
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J. Wiersig, C. Gies, F. Jahnke, M. Aßmann, T. Berstermann, M. Bayer, C. Kistner, S. Reitzenstein, C. Schneider, S. Höfling, A. Forchel, C. Kruse, J. Kalden, and D. Hommel, “Direct observation of correlations between individual photon emission events of a microcavity laser,” Nature 460, 245–249 (2009).
[CrossRef] [PubMed]

S. Ates, C. Gies, S. M. Ulrich, J. Wiersig, S. Reitzenstein, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Influence of the spontaneous optical emission factor β on the first-order coherence of a semiconductor microcavity laser,” Phys. Rev. B 78, 155319 (2008).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, “Photon statistics of semiconductor microcavity lasers,” Phys. Rev. Lett. 98, 043906 (2007).
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C. Gies, J. Wiersig, M. Lorke, and F. Jahnke, “Semiconductor model for quantum-dot-based microcavity lasers,” Phys. Rev. A 75, 013803 (2007).
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Other (3)

With the photon lifetime τ0, the effective coherence time of the system is τc,eff−1=(2τ0)−1+τc−1.

We note that our model cannot describe the oscillatory behavior observed in the experimental data. Possible origins of these oscillations have been discussed in .

R. Loudon, The Quantum Theory of Light (Clarendon, 1973).

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Figures (4)

Fig. 1
Fig. 1

Photoluminescence spectrum of the 8 μm pillar cavity at low excitation power ( P = 0.03 P 0 ). The cavity’s FM is indicated ( ω 0 = 1.381 eV ). Inset, input–output characteristics of one of the two linearly polarized components of the micropillar’s FM. The smooth transition from thermal to lasing behavior can clearly be observed.

Fig. 2
Fig. 2

(a) Typical interference fringes at delay times τ close to 0 ( V = 0.98 ) and at 250 ps ( V = 0.20 ) for P = P 0 . (b) Visibility V ( τ ) of the interference fringes at different excitation powers as a function of the delay τ. The solid lines are exponential fits. (c) Coherence time in dependence of the excitation power, derived from the data shown in panel (b).

Fig. 3
Fig. 3

Second-order intensity correlation function of the 8 μm pillar’s FM at excitation powers of (a)  4 P 0 , (b)  2 P 0 , (c)  P 0 , and (d)  0.03 P 0 . The figure shows both experimental results from streak camera measurements [3] as well as fits to the data using Eq. (5), taking into account the coherence times derived from g ( 1 ) ( τ ) measurements shown in Fig. 2. At very low excitation powers, no measurements could be achieved due to limited sensitivity of the streak device. Here, the expected parameters χ 1 = χ 2 = 1 as well as t d = 250 ps were used for the calculations. Inset, power dependence of the cavity feedback factors χ 1 and χ 2 , respectively.

Fig. 4
Fig. 4

Excitation-power dependence of the equal-time second-order correlation function g ( 2 ) ( 0 ) . Data obtained with the streak camera are shown as spheres; data obtained from the fits shown in Fig. 3 are represented by triangles. In the thermal regime ( P < 0.1 P 0 ), a value range of g ( 2 ) ( 0 ) = 1.66 ± 0.12 is determined; see text.

Equations (5)

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V ( τ ) = | g ( 1 ) ( τ ) | = exp ( | τ | / τ c ) .
g ( 2 ) ( τ ) = 1 + | g ( 1 ) ( τ ) | 2 .
g ( 2 ) ( τ ) = g A ( 2 ) ( τ ) N + ( 1 1 N ) [ 1 + | g ( 1 ) ( τ ) | 2 ] .
g ( 2 ) ( τ ) = 1 + χ 1 ( P ) g ( 1 ) ( τ ) 2 .
g ( 2 ) ( τ ) = 1 N [ 1 χ 2 exp ( | τ | t d ) ] + ( 1 1 N ) [ 1 + χ 1 g ( 1 ) ( τ ) 2 ] .

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