OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 17, Iss. 6 — Jun. 1, 2000
  • pp: 1031–1038

Stochastic theory of self-induced transparency: linearized approach

Victor V. Kozlov and Andrey B. Matsko  »View Author Affiliations


JOSA B, Vol. 17, Issue 6, pp. 1031-1038 (2000)
http://dx.doi.org/10.1364/JOSAB.17.001031


View Full Text Article

Enhanced HTML    Acrobat PDF (155 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Making use of c-number stochastic theory and soliton perturbation theory, we study the quantum fluctuations of a self-induced transparency (SIT) soliton propagating through a lossless two-level medium. Considering the fluctuations as small corrections to the classical soliton, we are able to construct and solve four stochastic equations that govern the evolution of four soliton parameters: photon number (intensity), phase, timing, and momentum (frequency). We find excellent agreement between our stochastic theory of SIT solitons and the second-quantized theory of LaiHaus [Phys. Rev. A 42, 2925 (1990)].

© 2000 Optical Society of America

OCIS Codes
(270.2500) Quantum optics : Fluctuations, relaxations, and noise
(270.5530) Quantum optics : Pulse propagation and temporal solitons

Citation
Victor V. Kozlov and Andrey B. Matsko, "Stochastic theory of self-induced transparency: linearized approach," J. Opt. Soc. Am. B 17, 1031-1038 (2000)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-17-6-1031


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. S. L. McCall and E. L. Hahn, “Self-induced transparency by pulsed coherent light,” Phys. Rev. Lett. 18, 908–911 (1967); “Self-induced transparency,” Phys. Rev. 183, 457–485 (1969); G. L. Lamb, Jr., “Analytical descriptions of ultrashort optical pulse propagation in a resonant medium,” Rev. Mod. Phys. RMPHAT 43, 99–124 (1971); L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987); A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Yu. M. Sklyarov, “Present state of self-induced transparency theory,” Phys. Rep. PRPLCM 191, 1–108 (1990). [CrossRef]
  2. H. A. Haus, “Physical interpretation of inverse scattering formalism applied to self-induced transparency,” Rev. Mod. Phys. 51, 331–339 (1979). [CrossRef]
  3. Y. Lai and H. A. Haus, “Quantum theory of self-induced transparency solitons—a linearized approach,” Phys. Rev. A 42, 2925–2934 (1990). [CrossRef] [PubMed]
  4. K. Watanabe, H. Nakano, A. Honold, and Y. Yamamoto, “Optical nonlinearities of excitonic self-induced transparency solitons—toward ultimate realization of squeezed states and quantum nondemolition measurements,” Phys. Rev. Lett. 62, 2257–2260 (1989). [CrossRef] [PubMed]
  5. A. B. Matsko, V. V. Kozlov, and M. O. Scully, “Backaction cancellation in quantum nondemolition measurement of optical solitons,” Phys. Rev. Lett. 82, 3244–3247 (1999). [CrossRef]
  6. K. P. Komarov and V. D. Ugozhaev, “Steady state 2π pulses under passive laser mode-locking,” Sov. J. Quantum Electron. 14, 787–792 (1984). [CrossRef]
  7. V. V. Kozlov and E. E. Fradkin, “Theory of mode synchronization with coherent absorber—generation of soliton-like 2π pulses,” Sov. Phys. JETP 80, 32–40 (1995).
  8. V. P. Kalosha, M. Müller, and J. Herrmann, “Coherent-absorber mode locking of solid-state lasers,” Opt. Lett. 23, 117–119 (1998). [CrossRef]
  9. V. V. Kozlov, “Self-induced transparency soliton laser via coherent mode locking,” Phys. Rev. A 56, 1607–1612 (1997). [CrossRef]
  10. B. Huttner and S. M. Barnett, “Quantization of the electromagnetic field in dielectric,” Phys. Rev. A 46, 4306–4322 (1992). [CrossRef] [PubMed]
  11. M. Hillery and L. Mlodinow, “Quantized fields in a nonlinear dielectric medium: a microscopic approach,” Phys. Rev. A 55, 678–689 (1997). [CrossRef]
  12. L.-M. Duan and G.-C. Guo, “Alternative approach to electromagnetic field quantization in nonlinear and inhomogeneous media,” Phys. Rev. A 56, 925–930 (1997); E. Schmidt, J. Jeffers, S. M. Barnett, L. Knoll, and D. G. Welsch, “Quantum theory of light in nonlinear media with dispersion and absorption,” J. Mod. Opt. 45, 377–401 (1998); also see references therein. [CrossRef]
  13. P. D. Drummond, C. W. Gardiner, and D. F. Walls, “Quasiprobability methods for nonlinear chemical and optical systems,” Phys. Rev. A 24, 914–926 (1981). [CrossRef]
  14. P. D. Drummond and S. J. Carter, “Quantum-field theory of squeezing in solitons,” J. Opt. Soc. Am. B 4, 1565–1573 (1987). [CrossRef]
  15. C. W. Gardiner, Quantum Noise (Springer, Berlin, 1991).
  16. P. D. Drummond and M. G. Raymer, “Quantum theory of propagation of nonclassical radiation in a near-resonant medium,” Phys. Rev. A 44, 2072–2085 (1991); for three-level systems see M. Fleischhauer and T. Richter, “Pulse matching and correlation of phase fluctuations in Λ-systems,” Phys. Rev. A 51, 2430–2442 (1995). [CrossRef] [PubMed]
  17. J. M. Fini, P. L. Hagelstein, and H. A. Haus, “Agreement of stochastic soliton formalism with second-quantized and configuration-space models,” Phys. Rev. A 57, 4842–4853 (1998). [CrossRef]
  18. H. A. Haus and Y. Lai, “Quantum theory of soliton squeezing—a linearized approach,” J. Opt. Soc. Am. B 7, 386–392 (1990). [CrossRef]
  19. Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phys. 61, 763–915 (1989), and references therein. [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited