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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 5 — Mar. 6, 2006
  • pp: 2021–2026

All-optical Landau-Zener tunneling in waveguide arrays

Andrea Fratalocchi and Gaetano Assanto  »View Author Affiliations


Optics Express, Vol. 14, Issue 5, pp. 2021-2026 (2006)
http://dx.doi.org/10.1364/OE.14.002021


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Abstract

We investigate Landau-Zener all-optical tunneling in a voltage-controlled waveguide array realized in undoped nematic liquid crystals. From the material governing equations we derive the original Zener model and demonstrate a novel approach to Floquet-band tunneling.

© 2006 Optical Society of America

OCIS Codes
(160.3710) Materials : Liquid crystals
(260.0260) Physical optics : Physical optics

ToC Category:
Physical Optics

History
Original Manuscript: November 15, 2005
Revised Manuscript: February 15, 2006
Manuscript Accepted: February 18, 2006
Published: March 6, 2006

Citation
Andrea Fratalocchi and Gaetano Assanto, "All-optical Landau-Zener tunneling in waveguide arrays," Opt. Express 14, 2021-2026 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-5-2021


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References

  1. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988). [CrossRef] [PubMed]
  2. S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-48 (1972). [CrossRef]
  3. A. A. Sukhorukov and Y. S. Kivshar, "Spatial optical solitons in waveguide arrays," IEEE J. Quantum Electron. 39, 31-50 (2003). [CrossRef]
  4. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: from fibers to photonic crystals (Academic Press, San Diego, 2003).
  5. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations," Phys. Rev. Lett. 83, 4756-4760 (1999). [CrossRef]
  6. B. Wu and Q. Niu, "Nonlinear Landau-Zener tunneling," Phys. Rev. A 61, 023402 (2000). [CrossRef]
  7. R. Khomeriki and S. Ruffo, "Nonadiabatic Landau-Zener Tunneling in Waveguide Arrays with a Step in the Refractive Index," Phys. Rev. Lett. 94, 113904 (2005). [CrossRef]
  8. V. V. Konotop, P. G. Kevrekidis, and M. Salerno, "Landau-Zener tunneling of Bose-Einstein condensates in an optical lattice," Phys. Rev. A 72, 023611 (2005). [CrossRef]
  9. S. Trillo and W. E. Torruellas, Spatial Solitons (Springer-Verlag, Berlin, 2001).
  10. K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, 2001).
  11. D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Band-Gap Structure ofWaveguide Arrays and Excitation of Floquet-Bloch Solitons," Phys. Rev. Lett. 90, 053902 (2003). [CrossRef]
  12. H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, "Optical Bloch oscillations and Zener tunneling in two-dimensional photonic lattices," in Proc. Top. Meet. On Nonlinear Guided Waves and their Applications, ThD1 (Opt. Soc. Am., Dresden, Germany, 2005).
  13. C. Zener, "Non-adiabatic crossing of energy levels," Proc. R. Soc. London Ser. A 137, 696-702 (1932). [CrossRef]
  14. I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley, New York, 1995).
  15. F. Simoni, Nonlinear Optical Properties of Liquid Crystals (World Scientific, Singapore, 1997).
  16. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Discrete light propagation and self-trapping in liquid crystals," Opt. Express 13, 1808-1815 (2005), http://www.opticsexpress.org/abstract.cfm?id=82980. [CrossRef] [PubMed]
  17. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Discrete propagation and spatial solitons in nematic liquid crystals," Opt. Lett. 29, 1530-1532 (2004). [CrossRef] [PubMed]
  18. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Optical multiband vector breathers in tunable waveguide arrays," Opt. Lett. 30, 174-176 (2005). [CrossRef] [PubMed]
  19. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 051112 (2005). [CrossRef]
  20. A. Fratalocchi and G. Assanto, "Discrete light localization in one dimensional nonlinear lattices with arbitrary non locality," Phys. Rev. E 72, 066608 (2005). [CrossRef]
  21. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Optically-induced Zener tunneling in one dimensional lattices," Opt. Lett., to be published. [PubMed]

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