Abstract

Implementing time-delayed feedback in optoelectronic circuits allows one to uncover the rich physics and application potential of nonlinear dynamics. Important feedback effects are, for instance, the generation of broadband chaos, or laser self-pulsing. We explore the effect of optoelectronic feedback in an ultracompact microlaser–microdetector assembly operating in the regime of cavity quantum electrodynamics (cQED). This system is used to generate self-pulsing at MHz frequencies in the emission of a microlaser, which is qualitatively explained by a rate equation model taking cQED effects into account. The results show promise for exploring chaos in ultracompact nanophotonic systems and for technological approaches toward chaos-based secure communication, random number generation, and self-pulsed single photon sources on a highly integrated semiconductor platform.

© 2017 Optical Society of America

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2016 (2)

L. C. Jaurigue, O. Nikiforov, E. Schöll, S. Breuer, and K. Lüdge, Phys. Rev. E 93, 2 (2016).
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M. M. Karow, P. Munnelly, T. Heindel, M. Kamp, S. Höfling, C. Schneider, and S. Reitzenstein, Appl. Phys. Lett. 108, 081110 (2016).
[Crossref]

2015 (2)

P. Munnelly, T. Heindel, M. M. Karow, S. Höfling, M. Kamp, C. Schneider, and S. Reitzenstein, IEEE J. Sel. Top. Quantum Electron. 21, 681 (2015).
[Crossref]

M. Sciamanna and K. A. Shore, Nat. Photonics 9, 151 (2015).
[Crossref]

2014 (1)

E. A. Viktorov and T. Erneux, Phys. Rev. E 90, 052914 (2014).
[Crossref]

2013 (2)

E. Stock, F. Albert, C. Hopfmann, M. Lermer, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Adv. Mater. 25, 707 (2013).
[Crossref]

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, Rev. Mod. Phys. 85, 421 (2013).
[Crossref]

2012 (2)

P. Gold, M. Gschrey, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Phys. Rev. B 86, 161301(R) (2012).
[Crossref]

F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
[Crossref]

2011 (1)

F. Albert, C. Hopfmann, S. Reitzenstein, C. Schneider, S. Höfling, L. Worschech, M. Kamp, W. Kinzel, A. Forchel, and I. Kanter, Nat. Commun. 2, 366 (2011).
[Crossref]

2009 (1)

K. Al-Naimee, F. Marino, M. Ciszak, R. Meucci, and F. T. Arecchi, New J. Phys. 11, 073022 (2009).
[Crossref]

2008 (1)

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
[Crossref]

2006 (1)

S. Rajesh and V. M. Nandakumaran, Physica D 213, 113 (2006).
[Crossref]

2005 (1)

Y. C. Kouomou, P. Colet, L. Larger, and N. Gastaud, Phys. Rev. Lett. 95, 203903 (2005).
[Crossref]

2004 (2)

J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
[Crossref]

S. Tang, R. Vicente, M. C. Chiang, C. R. Mirasso, and J.-M. Liu, IEEE J. Sel. Top. Quantum Electron. 10, 936 (2004).
[Crossref]

2001 (1)

S. Tang and J. M. Liu, IEEE J. Quantum Electron. 37, 329 (2001).
[Crossref]

1999 (1)

J. Ohtsubo, Opt. Rev. 6, 1 (1999).
[Crossref]

1989 (1)

G. Giacomelli, M. Calzavara, and F. T. Arecchi, Opt. Commun. 74, 97 (1989).
[Crossref]

1983 (1)

E. Patzak, H. Olesen, A. Sugimura, S. Saito, and T. Mukai, Electron. Lett. 19, 22 (1983).
[Crossref]

1980 (1)

R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
[Crossref]

1979 (1)

O. Hirota and Y. Suematsu, IEEE J. Quantum Electron. 15, 142 (1979).
[Crossref]

Albert, F.

E. Stock, F. Albert, C. Hopfmann, M. Lermer, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Adv. Mater. 25, 707 (2013).
[Crossref]

F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
[Crossref]

F. Albert, C. Hopfmann, S. Reitzenstein, C. Schneider, S. Höfling, L. Worschech, M. Kamp, W. Kinzel, A. Forchel, and I. Kanter, Nat. Commun. 2, 366 (2011).
[Crossref]

Al-Naimee, K.

K. Al-Naimee, F. Marino, M. Ciszak, R. Meucci, and F. T. Arecchi, New J. Phys. 11, 073022 (2009).
[Crossref]

Arecchi, F. T.

K. Al-Naimee, F. Marino, M. Ciszak, R. Meucci, and F. T. Arecchi, New J. Phys. 11, 073022 (2009).
[Crossref]

G. Giacomelli, M. Calzavara, and F. T. Arecchi, Opt. Commun. 74, 97 (1989).
[Crossref]

Arnold, F.

F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
[Crossref]

Böckler, C.

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
[Crossref]

Breuer, S.

L. C. Jaurigue, O. Nikiforov, E. Schöll, S. Breuer, and K. Lüdge, Phys. Rev. E 93, 2 (2016).
[Crossref]

Calzavara, M.

G. Giacomelli, M. Calzavara, and F. T. Arecchi, Opt. Commun. 74, 97 (1989).
[Crossref]

Chiang, M. C.

S. Tang, R. Vicente, M. C. Chiang, C. R. Mirasso, and J.-M. Liu, IEEE J. Sel. Top. Quantum Electron. 10, 936 (2004).
[Crossref]

Ciszak, M.

K. Al-Naimee, F. Marino, M. Ciszak, R. Meucci, and F. T. Arecchi, New J. Phys. 11, 073022 (2009).
[Crossref]

Claudon, J.

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
[Crossref]

Colet, P.

Y. C. Kouomou, P. Colet, L. Larger, and N. Gastaud, Phys. Rev. Lett. 95, 203903 (2005).
[Crossref]

Debusmann, R.

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
[Crossref]

Eberspächer, A.

F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
[Crossref]

Emmerling, M.

F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
[Crossref]

Erneux, T.

E. A. Viktorov and T. Erneux, Phys. Rev. E 90, 052914 (2014).
[Crossref]

Fischer, I.

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, Rev. Mod. Phys. 85, 421 (2013).
[Crossref]

Forchel, A.

E. Stock, F. Albert, C. Hopfmann, M. Lermer, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Adv. Mater. 25, 707 (2013).
[Crossref]

P. Gold, M. Gschrey, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Phys. Rev. B 86, 161301(R) (2012).
[Crossref]

F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
[Crossref]

F. Albert, C. Hopfmann, S. Reitzenstein, C. Schneider, S. Höfling, L. Worschech, M. Kamp, W. Kinzel, A. Forchel, and I. Kanter, Nat. Commun. 2, 366 (2011).
[Crossref]

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
[Crossref]

J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
[Crossref]

García-Ojalvo, J.

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, Rev. Mod. Phys. 85, 421 (2013).
[Crossref]

Gastaud, N.

Y. C. Kouomou, P. Colet, L. Larger, and N. Gastaud, Phys. Rev. Lett. 95, 203903 (2005).
[Crossref]

Gérard, J. M.

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
[Crossref]

Giacomelli, G.

G. Giacomelli, M. Calzavara, and F. T. Arecchi, Opt. Commun. 74, 97 (1989).
[Crossref]

Gold, P.

P. Gold, M. Gschrey, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Phys. Rev. B 86, 161301(R) (2012).
[Crossref]

Grenouillet, L.

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
[Crossref]

Gschrey, M.

P. Gold, M. Gschrey, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Phys. Rev. B 86, 161301(R) (2012).
[Crossref]

Heindel, T.

M. M. Karow, P. Munnelly, T. Heindel, M. Kamp, S. Höfling, C. Schneider, and S. Reitzenstein, Appl. Phys. Lett. 108, 081110 (2016).
[Crossref]

P. Munnelly, T. Heindel, M. M. Karow, S. Höfling, M. Kamp, C. Schneider, and S. Reitzenstein, IEEE J. Sel. Top. Quantum Electron. 21, 681 (2015).
[Crossref]

Hirota, O.

O. Hirota and Y. Suematsu, IEEE J. Quantum Electron. 15, 142 (1979).
[Crossref]

Höfling, S.

M. M. Karow, P. Munnelly, T. Heindel, M. Kamp, S. Höfling, C. Schneider, and S. Reitzenstein, Appl. Phys. Lett. 108, 081110 (2016).
[Crossref]

P. Munnelly, T. Heindel, M. M. Karow, S. Höfling, M. Kamp, C. Schneider, and S. Reitzenstein, IEEE J. Sel. Top. Quantum Electron. 21, 681 (2015).
[Crossref]

E. Stock, F. Albert, C. Hopfmann, M. Lermer, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Adv. Mater. 25, 707 (2013).
[Crossref]

P. Gold, M. Gschrey, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Phys. Rev. B 86, 161301(R) (2012).
[Crossref]

F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
[Crossref]

F. Albert, C. Hopfmann, S. Reitzenstein, C. Schneider, S. Höfling, L. Worschech, M. Kamp, W. Kinzel, A. Forchel, and I. Kanter, Nat. Commun. 2, 366 (2011).
[Crossref]

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
[Crossref]

Hofmann, C.

J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
[Crossref]

Hopfmann, C.

E. Stock, F. Albert, C. Hopfmann, M. Lermer, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Adv. Mater. 25, 707 (2013).
[Crossref]

F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
[Crossref]

F. Albert, C. Hopfmann, S. Reitzenstein, C. Schneider, S. Höfling, L. Worschech, M. Kamp, W. Kinzel, A. Forchel, and I. Kanter, Nat. Commun. 2, 366 (2011).
[Crossref]

Jaurigue, L. C.

L. C. Jaurigue, O. Nikiforov, E. Schöll, S. Breuer, and K. Lüdge, Phys. Rev. E 93, 2 (2016).
[Crossref]

Kamp, M.

M. M. Karow, P. Munnelly, T. Heindel, M. Kamp, S. Höfling, C. Schneider, and S. Reitzenstein, Appl. Phys. Lett. 108, 081110 (2016).
[Crossref]

P. Munnelly, T. Heindel, M. M. Karow, S. Höfling, M. Kamp, C. Schneider, and S. Reitzenstein, IEEE J. Sel. Top. Quantum Electron. 21, 681 (2015).
[Crossref]

E. Stock, F. Albert, C. Hopfmann, M. Lermer, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Adv. Mater. 25, 707 (2013).
[Crossref]

P. Gold, M. Gschrey, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Phys. Rev. B 86, 161301(R) (2012).
[Crossref]

F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
[Crossref]

F. Albert, C. Hopfmann, S. Reitzenstein, C. Schneider, S. Höfling, L. Worschech, M. Kamp, W. Kinzel, A. Forchel, and I. Kanter, Nat. Commun. 2, 366 (2011).
[Crossref]

Kanter, I.

F. Albert, C. Hopfmann, S. Reitzenstein, C. Schneider, S. Höfling, L. Worschech, M. Kamp, W. Kinzel, A. Forchel, and I. Kanter, Nat. Commun. 2, 366 (2011).
[Crossref]

Karow, M. M.

M. M. Karow, P. Munnelly, T. Heindel, M. Kamp, S. Höfling, C. Schneider, and S. Reitzenstein, Appl. Phys. Lett. 108, 081110 (2016).
[Crossref]

P. Munnelly, T. Heindel, M. M. Karow, S. Höfling, M. Kamp, C. Schneider, and S. Reitzenstein, IEEE J. Sel. Top. Quantum Electron. 21, 681 (2015).
[Crossref]

Keldysh, L. V.

J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
[Crossref]

Kida, T.

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
[Crossref]

Kinzel, W.

F. Albert, C. Hopfmann, S. Reitzenstein, C. Schneider, S. Höfling, L. Worschech, M. Kamp, W. Kinzel, A. Forchel, and I. Kanter, Nat. Commun. 2, 366 (2011).
[Crossref]

Kistner, C.

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
[Crossref]

Kobayashi, K.

R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
[Crossref]

Kouomou, Y. C.

Y. C. Kouomou, P. Colet, L. Larger, and N. Gastaud, Phys. Rev. Lett. 95, 203903 (2005).
[Crossref]

Kuhn, S.

J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
[Crossref]

Kulakovskii, V. D.

J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
[Crossref]

Lang, R.

R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
[Crossref]

Larger, L.

Y. C. Kouomou, P. Colet, L. Larger, and N. Gastaud, Phys. Rev. Lett. 95, 203903 (2005).
[Crossref]

Lermer, M.

E. Stock, F. Albert, C. Hopfmann, M. Lermer, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Adv. Mater. 25, 707 (2013).
[Crossref]

Liu, J. M.

S. Tang and J. M. Liu, IEEE J. Quantum Electron. 37, 329 (2001).
[Crossref]

Liu, J.-M.

S. Tang, R. Vicente, M. C. Chiang, C. R. Mirasso, and J.-M. Liu, IEEE J. Sel. Top. Quantum Electron. 10, 936 (2004).
[Crossref]

Löffler, A.

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
[Crossref]

J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
[Crossref]

Lüdge, K.

L. C. Jaurigue, O. Nikiforov, E. Schöll, S. Breuer, and K. Lüdge, Phys. Rev. E 93, 2 (2016).
[Crossref]

Marino, F.

K. Al-Naimee, F. Marino, M. Ciszak, R. Meucci, and F. T. Arecchi, New J. Phys. 11, 073022 (2009).
[Crossref]

Meucci, R.

K. Al-Naimee, F. Marino, M. Ciszak, R. Meucci, and F. T. Arecchi, New J. Phys. 11, 073022 (2009).
[Crossref]

Mirasso, C. R.

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E. Patzak, H. Olesen, A. Sugimura, S. Saito, and T. Mukai, Electron. Lett. 19, 22 (1983).
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S. Rajesh and V. M. Nandakumaran, Physica D 213, 113 (2006).
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L. C. Jaurigue, O. Nikiforov, E. Schöll, S. Breuer, and K. Lüdge, Phys. Rev. E 93, 2 (2016).
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J. Ohtsubo, Opt. Rev. 6, 1 (1999).
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E. Patzak, H. Olesen, A. Sugimura, S. Saito, and T. Mukai, Electron. Lett. 19, 22 (1983).
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E. Patzak, H. Olesen, A. Sugimura, S. Saito, and T. Mukai, Electron. Lett. 19, 22 (1983).
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S. Rajesh and V. M. Nandakumaran, Physica D 213, 113 (2006).
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J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
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J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
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M. M. Karow, P. Munnelly, T. Heindel, M. Kamp, S. Höfling, C. Schneider, and S. Reitzenstein, Appl. Phys. Lett. 108, 081110 (2016).
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P. Munnelly, T. Heindel, M. M. Karow, S. Höfling, M. Kamp, C. Schneider, and S. Reitzenstein, IEEE J. Sel. Top. Quantum Electron. 21, 681 (2015).
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E. Stock, F. Albert, C. Hopfmann, M. Lermer, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Adv. Mater. 25, 707 (2013).
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P. Gold, M. Gschrey, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Phys. Rev. B 86, 161301(R) (2012).
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F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
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F. Albert, C. Hopfmann, S. Reitzenstein, C. Schneider, S. Höfling, L. Worschech, M. Kamp, W. Kinzel, A. Forchel, and I. Kanter, Nat. Commun. 2, 366 (2011).
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C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
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J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
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E. Patzak, H. Olesen, A. Sugimura, S. Saito, and T. Mukai, Electron. Lett. 19, 22 (1983).
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M. M. Karow, P. Munnelly, T. Heindel, M. Kamp, S. Höfling, C. Schneider, and S. Reitzenstein, Appl. Phys. Lett. 108, 081110 (2016).
[Crossref]

P. Munnelly, T. Heindel, M. M. Karow, S. Höfling, M. Kamp, C. Schneider, and S. Reitzenstein, IEEE J. Sel. Top. Quantum Electron. 21, 681 (2015).
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P. Gold, M. Gschrey, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Phys. Rev. B 86, 161301(R) (2012).
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F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
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L. C. Jaurigue, O. Nikiforov, E. Schöll, S. Breuer, and K. Lüdge, Phys. Rev. E 93, 2 (2016).
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M. Sciamanna and K. A. Shore, Nat. Photonics 9, 151 (2015).
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J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
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M. Sciamanna and K. A. Shore, Nat. Photonics 9, 151 (2015).
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M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, Rev. Mod. Phys. 85, 421 (2013).
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E. Stock, F. Albert, C. Hopfmann, M. Lermer, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Adv. Mater. 25, 707 (2013).
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S. Tang, R. Vicente, M. C. Chiang, C. R. Mirasso, and J.-M. Liu, IEEE J. Sel. Top. Quantum Electron. 10, 936 (2004).
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S. Tang and J. M. Liu, IEEE J. Quantum Electron. 37, 329 (2001).
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S. Tang, R. Vicente, M. C. Chiang, C. R. Mirasso, and J.-M. Liu, IEEE J. Sel. Top. Quantum Electron. 10, 936 (2004).
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E. A. Viktorov and T. Erneux, Phys. Rev. E 90, 052914 (2014).
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F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
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Worschech, L.

F. Albert, C. Hopfmann, S. Reitzenstein, C. Schneider, S. Höfling, L. Worschech, M. Kamp, W. Kinzel, A. Forchel, and I. Kanter, Nat. Commun. 2, 366 (2011).
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Adv. Mater. (1)

E. Stock, F. Albert, C. Hopfmann, M. Lermer, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Adv. Mater. 25, 707 (2013).
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Appl. Phys. Lett. (3)

M. M. Karow, P. Munnelly, T. Heindel, M. Kamp, S. Höfling, C. Schneider, and S. Reitzenstein, Appl. Phys. Lett. 108, 081110 (2016).
[Crossref]

C. Böckler, S. Reitzenstein, C. Kistner, R. Debusmann, A. Löffler, T. Kida, S. Höfling, A. Forchel, L. Grenouillet, J. Claudon, and J. M. Gérard, Appl. Phys. Lett. 92, 091107 (2008).
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F. Albert, C. Hopfmann, A. Eberspächer, F. Arnold, M. Emmerling, C. Schneider, S. Höfling, A. Forchel, M. Kamp, J. Wiersig, and S. Reitzenstein, Appl. Phys. Lett. 101, 021116 (2012).
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Electron. Lett. (1)

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IEEE J. Quantum Electron. (3)

S. Tang and J. M. Liu, IEEE J. Quantum Electron. 37, 329 (2001).
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P. Munnelly, T. Heindel, M. M. Karow, S. Höfling, M. Kamp, C. Schneider, and S. Reitzenstein, IEEE J. Sel. Top. Quantum Electron. 21, 681 (2015).
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S. Tang, R. Vicente, M. C. Chiang, C. R. Mirasso, and J.-M. Liu, IEEE J. Sel. Top. Quantum Electron. 10, 936 (2004).
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Nat. Commun. (1)

F. Albert, C. Hopfmann, S. Reitzenstein, C. Schneider, S. Höfling, L. Worschech, M. Kamp, W. Kinzel, A. Forchel, and I. Kanter, Nat. Commun. 2, 366 (2011).
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Nat. Photonics (1)

M. Sciamanna and K. A. Shore, Nat. Photonics 9, 151 (2015).
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Nature (1)

J. P. Reithmaier, G. Sęk, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).
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J. Ohtsubo, Opt. Rev. 6, 1 (1999).
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Phys. Rev. B (1)

P. Gold, M. Gschrey, C. Schneider, S. Höfling, A. Forchel, M. Kamp, and S. Reitzenstein, Phys. Rev. B 86, 161301(R) (2012).
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Phys. Rev. E (2)

E. A. Viktorov and T. Erneux, Phys. Rev. E 90, 052914 (2014).
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L. C. Jaurigue, O. Nikiforov, E. Schöll, S. Breuer, and K. Lüdge, Phys. Rev. E 93, 2 (2016).
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Physica D (1)

S. Rajesh and V. M. Nandakumaran, Physica D 213, 113 (2006).
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Rev. Mod. Phys. (1)

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, Rev. Mod. Phys. 85, 421 (2013).
[Crossref]

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Figures (3)

Fig. 1.
Fig. 1.

Sample layout (a) and sketch of the setup (b). The extracted photocurrent is amplified by the transimpedance amplifier (TA), and is then passed through a 2 MHz bandwidth low-pass filter (LP) before being amplified at the main voltage amplifier (VA). The output voltage of the VA is coupled into the laser channel via a bias-T (BT) and monitored on an oscilloscope (OSC).

Fig. 2.
Fig. 2.

WGM laser and photodetector feedback device characterization at 15 K. (a) Input–output (IO) curve and FWHM of the laser emission from an 8 μm diameter electrically driven WGM laser without feedback and a threshold current Ithr of 40 μA. The inset shows a μEL spectrum of the single-mode laser without feedback at a current IWGM=240  μA. (b) Photocurrent (PC) extracted from the detectors as a function of detector bias VDet at a constant laser current of IWGM=188  μA (at 7.3 V) without feedback. The vertical dashed line indicates the detector bias range VDet{10.2  V,10.3  V} for which the optoelectronic feedback experiment was carried out. The respective PC is approximately 1 μA. (c) IO curves in semi-logarithmic scaling of the 8 μm laser below DC threshold with (red, light circles) and without (black, solid circles) feedback at VDet=10.3  V. (d) μEL spectra of the laser with and without feedback.

Fig. 3.
Fig. 3.

Experimental and simulated time traces and power spectra for WGM microlaser emission under optoelectronic feedback. (a) Time traces of the feedback-induced laser emission with VDet=10.2  V for a varying relative bias current, as recorded on the oscilloscope in Fig. 1. (b) Simulated time traces of the laser mode intensity during feedback for an increasing relative bias current. (c) and (d) Corresponding spectral components of the time series in (a) and (b), respectively, within the 2 MHz bandwidth allowed by the low-pass filter.

Tables (1)

Tables Icon

Table 1. Parameters Used in the Rate Equation Simulation Eqs. (1)–(4) for Optoelectronic Feedback

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

ddtS(t)=[(G(t)N(t)1)1τS]S(t)+βN(t)τNξsp,
ddtN(t)=I(t)N(t)τN[G(t)N(t)1]S(t),
ddtTi(t)=1τTi[CSiS(t)Ti(t)],
ddtIFB(t)=2πτLP[κS(tτFB)IFB(t)].

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