Abstract

A single-atom microlaser involving Poissonian input of atoms with a fixed flight time through an optical resonator is described. The influence of the cavity reservoir during the interactions of successive individual atoms with the cavity field is included in the analysis. Atomic decay is also considered, as it is nonnegligible in the optical regime. During the random intervals of absence of any atom in the cavity, the field evolves under its own dynamics. The steady-state characteristics of the cavity field are discussed. Away from laser threshold, the field can be nonclassical in nature.

© 1999 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. K. An, J. J. Childs, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 73, 3375 (1994).
    [CrossRef] [PubMed]
  2. K. An and M. S. Feld, Phys. Rev. A 52, 1691 (1995).
    [CrossRef] [PubMed]
  3. M. I. Kolobov and F. Haake, Phys. Rev. A 55, 3033 (1997).
    [CrossRef]
  4. C. Yang and K. An, Phys. Rev. A 55, 4492 (1997).
    [CrossRef]
  5. K. An and M. S. Feld, Phys. Rev. A 56, 1662 (1997).
    [CrossRef]
  6. G. Rempe, F. Schmidt-Kaler, and H. Walther, Phys. Rev. Lett. 64, 2783 (1990).
    [CrossRef] [PubMed]
  7. C. Ginzel, H. Briegel, U. Martini, B. Englert, and A. Schenzle, Phys. Rev. A 48, 732 (1993).
    [CrossRef] [PubMed]
  8. E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963).
    [CrossRef]
  9. G. S. Agarwal and S. Datta Gupta, Phys. Rev. A 42, 1737 (1990).
    [CrossRef] [PubMed]
  10. P. Filipowicz, J. Javanainen, and P. Meystre, Phys. Rev. A 34, 3077 (1986)P. Meystre, G. Rempe, and H. Walther, Opt. Lett. 13, 1078 (1988).
    [CrossRef] [PubMed]
  11. N. Nayak, Opt. Commun. 118, 114 (1995).
    [CrossRef]
  12. K. An, R. R. Dasaari, and M. S. Feld, Opt. Lett. 22, 1500 (1997).
    [CrossRef]
  13. J. Bergou, L. Davidovich, M. Orszag, C. Benkert, M. Hillary, and M. O. Scully, Phys. Rev. A 40, 5073 (1989).
    [CrossRef] [PubMed]
  14. L. Davidovich, S.-Y. Zhu, A. Z. Khoury, and C. Su, Phys. Rev. A 46, 1630 (1992).
    [CrossRef] [PubMed]
  15. See, e.g., M. Sargent, M. O. Scully, and W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).

1997 (4)

M. I. Kolobov and F. Haake, Phys. Rev. A 55, 3033 (1997).
[CrossRef]

C. Yang and K. An, Phys. Rev. A 55, 4492 (1997).
[CrossRef]

K. An and M. S. Feld, Phys. Rev. A 56, 1662 (1997).
[CrossRef]

K. An, R. R. Dasaari, and M. S. Feld, Opt. Lett. 22, 1500 (1997).
[CrossRef]

1995 (2)

N. Nayak, Opt. Commun. 118, 114 (1995).
[CrossRef]

K. An and M. S. Feld, Phys. Rev. A 52, 1691 (1995).
[CrossRef] [PubMed]

1994 (1)

K. An, J. J. Childs, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 73, 3375 (1994).
[CrossRef] [PubMed]

1993 (1)

C. Ginzel, H. Briegel, U. Martini, B. Englert, and A. Schenzle, Phys. Rev. A 48, 732 (1993).
[CrossRef] [PubMed]

1992 (1)

L. Davidovich, S.-Y. Zhu, A. Z. Khoury, and C. Su, Phys. Rev. A 46, 1630 (1992).
[CrossRef] [PubMed]

1990 (2)

G. S. Agarwal and S. Datta Gupta, Phys. Rev. A 42, 1737 (1990).
[CrossRef] [PubMed]

G. Rempe, F. Schmidt-Kaler, and H. Walther, Phys. Rev. Lett. 64, 2783 (1990).
[CrossRef] [PubMed]

1989 (1)

J. Bergou, L. Davidovich, M. Orszag, C. Benkert, M. Hillary, and M. O. Scully, Phys. Rev. A 40, 5073 (1989).
[CrossRef] [PubMed]

1986 (1)

P. Filipowicz, J. Javanainen, and P. Meystre, Phys. Rev. A 34, 3077 (1986)P. Meystre, G. Rempe, and H. Walther, Opt. Lett. 13, 1078 (1988).
[CrossRef] [PubMed]

1963 (1)

E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963).
[CrossRef]

Agarwal, G. S.

G. S. Agarwal and S. Datta Gupta, Phys. Rev. A 42, 1737 (1990).
[CrossRef] [PubMed]

An, K.

K. An, R. R. Dasaari, and M. S. Feld, Opt. Lett. 22, 1500 (1997).
[CrossRef]

C. Yang and K. An, Phys. Rev. A 55, 4492 (1997).
[CrossRef]

K. An and M. S. Feld, Phys. Rev. A 56, 1662 (1997).
[CrossRef]

K. An and M. S. Feld, Phys. Rev. A 52, 1691 (1995).
[CrossRef] [PubMed]

K. An, J. J. Childs, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 73, 3375 (1994).
[CrossRef] [PubMed]

Benkert, C.

J. Bergou, L. Davidovich, M. Orszag, C. Benkert, M. Hillary, and M. O. Scully, Phys. Rev. A 40, 5073 (1989).
[CrossRef] [PubMed]

Bergou, J.

J. Bergou, L. Davidovich, M. Orszag, C. Benkert, M. Hillary, and M. O. Scully, Phys. Rev. A 40, 5073 (1989).
[CrossRef] [PubMed]

Briegel, H.

C. Ginzel, H. Briegel, U. Martini, B. Englert, and A. Schenzle, Phys. Rev. A 48, 732 (1993).
[CrossRef] [PubMed]

Childs, J. J.

K. An, J. J. Childs, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 73, 3375 (1994).
[CrossRef] [PubMed]

Cummings, F. W.

E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963).
[CrossRef]

Dasaari, R. R.

Dasari, R. R.

K. An, J. J. Childs, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 73, 3375 (1994).
[CrossRef] [PubMed]

Datta Gupta, S.

G. S. Agarwal and S. Datta Gupta, Phys. Rev. A 42, 1737 (1990).
[CrossRef] [PubMed]

Davidovich, L.

L. Davidovich, S.-Y. Zhu, A. Z. Khoury, and C. Su, Phys. Rev. A 46, 1630 (1992).
[CrossRef] [PubMed]

J. Bergou, L. Davidovich, M. Orszag, C. Benkert, M. Hillary, and M. O. Scully, Phys. Rev. A 40, 5073 (1989).
[CrossRef] [PubMed]

Englert, B.

C. Ginzel, H. Briegel, U. Martini, B. Englert, and A. Schenzle, Phys. Rev. A 48, 732 (1993).
[CrossRef] [PubMed]

Feld, M. S.

K. An and M. S. Feld, Phys. Rev. A 56, 1662 (1997).
[CrossRef]

K. An, R. R. Dasaari, and M. S. Feld, Opt. Lett. 22, 1500 (1997).
[CrossRef]

K. An and M. S. Feld, Phys. Rev. A 52, 1691 (1995).
[CrossRef] [PubMed]

K. An, J. J. Childs, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 73, 3375 (1994).
[CrossRef] [PubMed]

Filipowicz, P.

P. Filipowicz, J. Javanainen, and P. Meystre, Phys. Rev. A 34, 3077 (1986)P. Meystre, G. Rempe, and H. Walther, Opt. Lett. 13, 1078 (1988).
[CrossRef] [PubMed]

Ginzel, C.

C. Ginzel, H. Briegel, U. Martini, B. Englert, and A. Schenzle, Phys. Rev. A 48, 732 (1993).
[CrossRef] [PubMed]

Haake, F.

M. I. Kolobov and F. Haake, Phys. Rev. A 55, 3033 (1997).
[CrossRef]

Hillary, M.

J. Bergou, L. Davidovich, M. Orszag, C. Benkert, M. Hillary, and M. O. Scully, Phys. Rev. A 40, 5073 (1989).
[CrossRef] [PubMed]

Javanainen, J.

P. Filipowicz, J. Javanainen, and P. Meystre, Phys. Rev. A 34, 3077 (1986)P. Meystre, G. Rempe, and H. Walther, Opt. Lett. 13, 1078 (1988).
[CrossRef] [PubMed]

Jaynes, E. T.

E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963).
[CrossRef]

Khoury, A. Z.

L. Davidovich, S.-Y. Zhu, A. Z. Khoury, and C. Su, Phys. Rev. A 46, 1630 (1992).
[CrossRef] [PubMed]

Kolobov, M. I.

M. I. Kolobov and F. Haake, Phys. Rev. A 55, 3033 (1997).
[CrossRef]

Lamb, W. E.

See, e.g., M. Sargent, M. O. Scully, and W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).

Martini, U.

C. Ginzel, H. Briegel, U. Martini, B. Englert, and A. Schenzle, Phys. Rev. A 48, 732 (1993).
[CrossRef] [PubMed]

Meystre, P.

P. Filipowicz, J. Javanainen, and P. Meystre, Phys. Rev. A 34, 3077 (1986)P. Meystre, G. Rempe, and H. Walther, Opt. Lett. 13, 1078 (1988).
[CrossRef] [PubMed]

Nayak, N.

N. Nayak, Opt. Commun. 118, 114 (1995).
[CrossRef]

Orszag, M.

J. Bergou, L. Davidovich, M. Orszag, C. Benkert, M. Hillary, and M. O. Scully, Phys. Rev. A 40, 5073 (1989).
[CrossRef] [PubMed]

Rempe, G.

G. Rempe, F. Schmidt-Kaler, and H. Walther, Phys. Rev. Lett. 64, 2783 (1990).
[CrossRef] [PubMed]

Sargent, M.

See, e.g., M. Sargent, M. O. Scully, and W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).

Schenzle, A.

C. Ginzel, H. Briegel, U. Martini, B. Englert, and A. Schenzle, Phys. Rev. A 48, 732 (1993).
[CrossRef] [PubMed]

Schmidt-Kaler, F.

G. Rempe, F. Schmidt-Kaler, and H. Walther, Phys. Rev. Lett. 64, 2783 (1990).
[CrossRef] [PubMed]

Scully, M. O.

J. Bergou, L. Davidovich, M. Orszag, C. Benkert, M. Hillary, and M. O. Scully, Phys. Rev. A 40, 5073 (1989).
[CrossRef] [PubMed]

See, e.g., M. Sargent, M. O. Scully, and W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).

Su, C.

L. Davidovich, S.-Y. Zhu, A. Z. Khoury, and C. Su, Phys. Rev. A 46, 1630 (1992).
[CrossRef] [PubMed]

Walther, H.

G. Rempe, F. Schmidt-Kaler, and H. Walther, Phys. Rev. Lett. 64, 2783 (1990).
[CrossRef] [PubMed]

Yang, C.

C. Yang and K. An, Phys. Rev. A 55, 4492 (1997).
[CrossRef]

Zhu, S.-Y.

L. Davidovich, S.-Y. Zhu, A. Z. Khoury, and C. Su, Phys. Rev. A 46, 1630 (1992).
[CrossRef] [PubMed]

Opt. Commun. (1)

N. Nayak, Opt. Commun. 118, 114 (1995).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (9)

J. Bergou, L. Davidovich, M. Orszag, C. Benkert, M. Hillary, and M. O. Scully, Phys. Rev. A 40, 5073 (1989).
[CrossRef] [PubMed]

L. Davidovich, S.-Y. Zhu, A. Z. Khoury, and C. Su, Phys. Rev. A 46, 1630 (1992).
[CrossRef] [PubMed]

K. An and M. S. Feld, Phys. Rev. A 52, 1691 (1995).
[CrossRef] [PubMed]

M. I. Kolobov and F. Haake, Phys. Rev. A 55, 3033 (1997).
[CrossRef]

C. Yang and K. An, Phys. Rev. A 55, 4492 (1997).
[CrossRef]

K. An and M. S. Feld, Phys. Rev. A 56, 1662 (1997).
[CrossRef]

C. Ginzel, H. Briegel, U. Martini, B. Englert, and A. Schenzle, Phys. Rev. A 48, 732 (1993).
[CrossRef] [PubMed]

G. S. Agarwal and S. Datta Gupta, Phys. Rev. A 42, 1737 (1990).
[CrossRef] [PubMed]

P. Filipowicz, J. Javanainen, and P. Meystre, Phys. Rev. A 34, 3077 (1986)P. Meystre, G. Rempe, and H. Walther, Opt. Lett. 13, 1078 (1988).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

G. Rempe, F. Schmidt-Kaler, and H. Walther, Phys. Rev. Lett. 64, 2783 (1990).
[CrossRef] [PubMed]

K. An, J. J. Childs, R. R. Dasari, and M. S. Feld, Phys. Rev. Lett. 73, 3375 (1994).
[CrossRef] [PubMed]

Proc. IEEE (1)

E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963).
[CrossRef]

Other (1)

See, e.g., M. Sargent, M. O. Scully, and W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Cavity field intensity, proportional to n, as a function of the pump parameter D for N=100 and γ/g=0.1. Solid curve, κ/g=0.01; dashed curve, κ/g=0.001; dotted curve, κ/g=0.0001; dotted–dashed curve, results from Ref.  10, in which κ=γ=0.0 during τ.

Fig. 2
Fig. 2

Variance of the cavity field, v, versus pump parameter D. The other parameters are the same as in Fig.  1. For clarity, the dashed–dotted curve is shifted upward by 3.0. The horizontal lines are v=1.0,4.0. The sub-Poissonian nature of the radiation field is indicated by v<1.0.

Fig. 3
Fig. 3

Photon distribution function Pn=Pn for N=100, γ/g=0.1, and κ/g=0.001. Solid curve, D=1.7; dashed curve, D=10.0.

Equations (5)

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

ρ·=-iH,ρ-κ(aaρ-2aρa+ρaa)-γS+S-ρ-2S-ρS++ρS+S-,
Pn=P0m=1nvm,
vn=f3n/[f2n+f1nvn+1],
Xn=Rsin2gnτexp-γ+2n-1κτ,Yn=12R(2cos2gn+1τ-12γ/κ+2n+1+F1n-1exp-γ+2n+1κτ+12γ/κ+2n+1-F2n-1×exp-γ+2n-1κτ),Zn=12R(12γ/κ+2n+3+F2n×exp-γ+2n+1κτ-12γ/κ+2n+3+F1n×exp-γ+2n+3κτ).
Fin=κ/4gn+2-n+12(γκn+2-n+1×sin2gmτ-γgcos2gmτ-{2n+3+2n+1n+21/2}×n+2-n+1sin2gmτ)+κ/4gn+2+n+12×(±γκn+2+n+1×sin2gmτ-γgcos2gmτ²2n+3-2n+1n+21/2×n+2+n+1sin(2gmτ),

Metrics