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Modeling displaced squeezed number states in waveguide arrays

Author

Listed:
  • Villegas-Martínez, B.M.
  • Moya-Cessa, H.M.
  • Soto-Eguibar, F.

Abstract

We present an exact analytical solution for a one-dimensional zigzag waveguide array with first and second neighbor interactions. It is found that this waveguide system acts as a classical analog to the displaced squeezed number states. The exact solution was compared directly with the numerical solution showing a perfect agreement. The implication of a linear index of refraction changing as a function of the site number is also studied; in this case, we show that the first neighbor interaction strongly influences the periodicity of Bloch oscillations.

Suggested Citation

  • Villegas-Martínez, B.M. & Moya-Cessa, H.M. & Soto-Eguibar, F., 2022. "Modeling displaced squeezed number states in waveguide arrays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    • Handle: RePEc:eee:phsmap:v:608:y:2022:i:p1:s0378437122008238
    DOI: 10.1016/j.physa.2022.128265
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    References listed on IDEAS

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    1. D. Hennig, 2001. "Next-nearest neighbor interaction and localized solutions of polymer chains," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 20(3), pages 419-425, April.
    2. Tal Schwartz & Guy Bartal & Shmuel Fishman & Mordechai Segev, 2007. "Transport and Anderson localization in disordered two-dimensional photonic lattices," Nature, Nature, vol. 446(7131), pages 52-55, March.
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