OSA's Digital Library

Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 3, Iss. 5 — Aug. 31, 1998
  • pp: 171–179

Vacuum-induced jitter in spatial solitons

Elna M. Nagasako, Robert W. Boyd, and G. S. Agarwal  »View Author Affiliations

Optics Express, Vol. 3, Issue 5, pp. 171-179 (1998)

View Full Text Article

Enhanced HTML    Acrobat PDF (201 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We perform a calculation to determine how quantum mechanical fluctuations influence the propagation of a spatial soliton through a nonlinear material. To do so, we derive equations of motion for the linearized operators describing the deviation of the soliton position and transverse momentum from those of a corresponding classical solution to the nonlinear wave equation, and from these equations we determine the quantum uncertainty in the soliton position and transverse momentum. We find that under realistic laboratory conditions the quantum uncertainty in position is several orders of magnitude smaller the classical width of the soliton. This result suggests that the reliability of photonic devices based on spatial solitons is not compromised by quantum fluctuations.

© Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(270.5530) Quantum optics : Pulse propagation and temporal solitons

ToC Category:
Research Papers

Original Manuscript: May 5, 1998
Revised Manuscript: May 5, 1998
Published: August 31, 1997

Elna Nagasako, Robert Boyd, and Girish Saran Agarwal, "Vacuum-induced jitter in spatial solitons," Opt. Express 3, 171-179 (1998)

Sort:  Journal  |  Reset  


  1. A pedagogical discussion of self-action effects including self-trapping and optical solitons is presented in Chapter 6 of R. W. Boyd, Nonlinear Optics (Academic, San Diego, 1992). See also E. M. Nagasako, R. W. Boyd, in Amazing Light, A volume dedicated to Charles Hard Townes on his 80th Birthday, edited by R. Y. Chiao (Springer, New York, 1996).
  2. G. A. Askar'yan, Sov. Phys. JETP 15, 1088 (1962).
  3. R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964). [CrossRef]
  4. V. E. Zakharov and A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).
  5. E. L. Dawes and J. H. Marburger, Phys. Rev. 179, 862 (1969); See also J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975). [CrossRef]
  6. Y. Silberberg, Opt. Lett. 15, 1282 (1990). [CrossRef] [PubMed]
  7. J. S. Aitchison, Y. Silberberg, A. M. Weiner, D. E. Leaird, M. K. Oliver, J. L. Jackel, E. M. Vogel, and P. W. E. Smith, J. Opt. Soc. Am. B 8, 1290 (1991). [CrossRef]
  8. M. Shalaby and A. Barthelemy, Opt. Comm. 94, 341 (1992). [CrossRef]
  9. A. Villeneuve, J. S. Aitchison, J. U. Kang, P. G. Wigley, and G. I. Stegeman, Opt. Lett. 19, 761 (1994). [CrossRef] [PubMed]
  10. B. Luther-Davies and X. Yang, Opt. Lett. 17, 1755 (1992). [CrossRef] [PubMed]
  11. S. Blair, K. Wagner, and R. McLeod, Opt. Lett. 19, 1943 (1994). [CrossRef] [PubMed]
  12. E. M. Nagasako, R. W. Boyd, and G. S. Agarwal, Phys. Rev. A 55, 1412 (1997). [CrossRef]
  13. J. D. Gordon and H. A. Haus, Opt. Lett. 11, 665 (1986). [CrossRef] [PubMed]
  14. P. D. Drummond R. M. Shelby, S. R. Friberg, and Y. Yamomoto, Nature 365, 307 (1993). [CrossRef]
  15. H. A. Haus and M. N. Islam, IEEE J. Quantum Electron. QE-21, 1172 (1985). [CrossRef]
  16. H. A. Haus and Y. Lai, J. Opt. Soc. Am. B 7, 386 (1990). [CrossRef]
  17. Although c has the fixed value -1/2 using the present conventions, we retain c in our formulas for more ready comparisons of our results with those obtained using different normalization conventions.

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