Modeling displaced squeezed number states in waveguide arrays

B.M. Villegas-Martínez, H.M. Moya-Cessa and F. Soto-Eguibar

Physica A: Statistical Mechanics and its Applications, 2022, vol. 608, issue P1

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.

Keywords: Zigzag waveguide; Bloch oscillations; Displaced squeezed number states; Waveguide array; Photonic lattice; Quantum analogies (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:608:y:2022:i:p1:s0378437122008238

DOI: 10.1016/j.physa.2022.128265

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