Abstract

Subjecting lasers to triangular modulations of the pump produces phenomena that drastically depend on the symmetry of the triangle. For instance, with slow up-rising triangles, a laser below threshold on average may deliver coherent pulses, while it does not deliver coherent pulses with fast up-rising triangles. This effect, which requires the presence of fluctuations in addition to the modulation, is reminiscent of the thermal ratchet with which a directed motion is extracted from a stochastic medium.

© 2006 Optical Society of America

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References

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  1. R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures in Physics (Addison-Wesley, 1966), Vol. 1, Chap. 46.
  2. C. Mennerat-Robillard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999).
    [CrossRef]
  3. J. Prost, J.-F. Chauvin, L. Peliti, and A. Adjari, Phys. Rev. Lett. 72, 2652 (1994).
    [CrossRef] [PubMed]
  4. L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
    [CrossRef] [PubMed]
  5. C. R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. 72, 2984 (1994).
    [CrossRef] [PubMed]
  6. F. Jülicher, A. Adjari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997).
    [CrossRef]
  7. P. Bergé, Y. Pomeau, and C. Vidal, L'ordre dans le Chaos (Hermann, 1984).
  8. P. Mandel and T. Erneux, Phys. Rev. Lett. 53, 1818 (1984).
    [CrossRef]
  9. The delay is the time elapsed between the instant when the pump power equals the threshold and that when the pulse emission starts. It is normalized to the pump duration above threshold.
  10. A. E. Siegman, Lasers (University Science, 1986).
  11. C. E. Preda, B. Ségard, and P. Glorieux, Opt. Commun. 261, 141 (2006).
    [CrossRef]
  12. R. F. Fox, Phys. Rev. A 43, 2649 (1991).
    [CrossRef] [PubMed]

2006 (1)

C. E. Preda, B. Ségard, and P. Glorieux, Opt. Commun. 261, 141 (2006).
[CrossRef]

1999 (1)

C. Mennerat-Robillard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999).
[CrossRef]

1997 (1)

F. Jülicher, A. Adjari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997).
[CrossRef]

1995 (1)

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

1994 (2)

C. R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. 72, 2984 (1994).
[CrossRef] [PubMed]

J. Prost, J.-F. Chauvin, L. Peliti, and A. Adjari, Phys. Rev. Lett. 72, 2652 (1994).
[CrossRef] [PubMed]

1991 (1)

R. F. Fox, Phys. Rev. A 43, 2649 (1991).
[CrossRef] [PubMed]

1984 (1)

P. Mandel and T. Erneux, Phys. Rev. Lett. 53, 1818 (1984).
[CrossRef]

Adjari, A.

F. Jülicher, A. Adjari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997).
[CrossRef]

J. Prost, J.-F. Chauvin, L. Peliti, and A. Adjari, Phys. Rev. Lett. 72, 2652 (1994).
[CrossRef] [PubMed]

Bergé, P.

P. Bergé, Y. Pomeau, and C. Vidal, L'ordre dans le Chaos (Hermann, 1984).

Bourdieu, L. S.

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

Chauvin, J.-F.

J. Prost, J.-F. Chauvin, L. Peliti, and A. Adjari, Phys. Rev. Lett. 72, 2652 (1994).
[CrossRef] [PubMed]

Courtois, J.-Y.

C. Mennerat-Robillard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999).
[CrossRef]

Doering, C. R.

C. R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. 72, 2984 (1994).
[CrossRef] [PubMed]

Erneux, T.

P. Mandel and T. Erneux, Phys. Rev. Lett. 53, 1818 (1984).
[CrossRef]

Faucheux, L. P.

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

Feynman, R. P.

R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures in Physics (Addison-Wesley, 1966), Vol. 1, Chap. 46.

Fox, R. F.

R. F. Fox, Phys. Rev. A 43, 2649 (1991).
[CrossRef] [PubMed]

Glorieux, P.

C. E. Preda, B. Ségard, and P. Glorieux, Opt. Commun. 261, 141 (2006).
[CrossRef]

Grynberg, G.

C. Mennerat-Robillard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999).
[CrossRef]

Guibal, S.

C. Mennerat-Robillard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999).
[CrossRef]

Horsthemke, W.

C. R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. 72, 2984 (1994).
[CrossRef] [PubMed]

Jülicher, F.

F. Jülicher, A. Adjari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997).
[CrossRef]

Jurczak, C.

C. Mennerat-Robillard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999).
[CrossRef]

Kaplan, P. D.

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

Leighton, R. B.

R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures in Physics (Addison-Wesley, 1966), Vol. 1, Chap. 46.

Libchaber, A. J.

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

Lucas, D.

C. Mennerat-Robillard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999).
[CrossRef]

Mandel, P.

P. Mandel and T. Erneux, Phys. Rev. Lett. 53, 1818 (1984).
[CrossRef]

Mennerat-Robillard, C.

C. Mennerat-Robillard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999).
[CrossRef]

Peliti, L.

J. Prost, J.-F. Chauvin, L. Peliti, and A. Adjari, Phys. Rev. Lett. 72, 2652 (1994).
[CrossRef] [PubMed]

Pomeau, Y.

P. Bergé, Y. Pomeau, and C. Vidal, L'ordre dans le Chaos (Hermann, 1984).

Preda, C. E.

C. E. Preda, B. Ségard, and P. Glorieux, Opt. Commun. 261, 141 (2006).
[CrossRef]

Prost, J.

F. Jülicher, A. Adjari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997).
[CrossRef]

J. Prost, J.-F. Chauvin, L. Peliti, and A. Adjari, Phys. Rev. Lett. 72, 2652 (1994).
[CrossRef] [PubMed]

Riordan, J.

C. R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. 72, 2984 (1994).
[CrossRef] [PubMed]

Sands, M.

R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures in Physics (Addison-Wesley, 1966), Vol. 1, Chap. 46.

Ségard, B.

C. E. Preda, B. Ségard, and P. Glorieux, Opt. Commun. 261, 141 (2006).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Lasers (University Science, 1986).

Tabosa, J.

C. Mennerat-Robillard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999).
[CrossRef]

Vidal, C.

P. Bergé, Y. Pomeau, and C. Vidal, L'ordre dans le Chaos (Hermann, 1984).

Opt. Commun. (1)

C. E. Preda, B. Ségard, and P. Glorieux, Opt. Commun. 261, 141 (2006).
[CrossRef]

Phys. Rev. A (1)

R. F. Fox, Phys. Rev. A 43, 2649 (1991).
[CrossRef] [PubMed]

Phys. Rev. Lett. (5)

P. Mandel and T. Erneux, Phys. Rev. Lett. 53, 1818 (1984).
[CrossRef]

C. Mennerat-Robillard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999).
[CrossRef]

J. Prost, J.-F. Chauvin, L. Peliti, and A. Adjari, Phys. Rev. Lett. 72, 2652 (1994).
[CrossRef] [PubMed]

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

C. R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. 72, 2984 (1994).
[CrossRef] [PubMed]

Rev. Mod. Phys. (1)

F. Jülicher, A. Adjari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997).
[CrossRef]

Other (4)

P. Bergé, Y. Pomeau, and C. Vidal, L'ordre dans le Chaos (Hermann, 1984).

The delay is the time elapsed between the instant when the pump power equals the threshold and that when the pulse emission starts. It is normalized to the pump duration above threshold.

A. E. Siegman, Lasers (University Science, 1986).

R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures in Physics (Addison-Wesley, 1966), Vol. 1, Chap. 46.

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Figures (3)

Fig. 1
Fig. 1

Time evolution of the laser intensity (up) and of the pump power (down) for symmetry parameter α equal to 1%, 50%, and 99%. (a) Experiments, (b) simulations. Parameters: pumping rate A min = 0.68 and A max = 1.2 , modulation period is T = 84 μ s . For the simulations, the noise strength is Q = 4.67 × 10 9 and the correlation time τ = 9 × 10 2 .

Fig. 2
Fig. 2

Experimental measurements of (a) the amplitude and (b) delay of the laser pulses as a function of the symmetry parameter α. (∎) Absolute quantities, (엯) standard deviations of the fluctuations. Same parameters as in Fig. 1.

Fig. 3
Fig. 3

Same as Fig. 2. Numerical simulations with Q = 4.7 × 10 9 , τ = 9 × 10 2 .

Equations (3)

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d E ( t ) d t = E ( t ) [ D ( t ) 1 ] + ε ( t ) ,
d D ( t ) d t = γ { A D ( t ) [ E 2 ( t ) + 1 ] } ,
ε ( t ) ε ( s ) = Q τ exp ( t s τ ) .

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