Jacobi photonic lattices and their SUSY partners
arXiv:1310.5176 · doi:10.1364/OE.22.000987
Abstract
We present a classical analog of quantum optical deformed oscillators in arrays of waveguides. The normal modes of these one-dimensional photonic crystals are given in terms of Jacobi polynomials. We show that it is possible to attack the problem via factorization by exploiting the quantum optical analogy. This allows us to provide an unbroken supersymmetric partner of the proposed Jacobi lattices. Thanks to the underlying SU(1,1) group symmetry of the lattices, we present the analytic propagators and impulse functions for these one-dimensional photonic crystals.
8 pages, 6 figures
References in corpus (1)
Cited by in corpus (18)
- Supersymmetry generated one-way invisible PT-symmetric optical crystals
- Trends in supersymmetric quantum mechanics
- An intensity-dependent quantum Rabi model: Spectrum, SUSY partner and optical simulation
- Symmetry in optics and photonics: a group theory approach
- Supercharge optical arrays
- Gilmore-Perelomov symmetry based approach to photonic lattices
- An introduction to arrays of coupled waveguides
- Propagation of non-classical states of light through one-dimensional photonic lattices
- Optical realization of nonlinear quantum dynamics
- Shifted one-parameter supersymmetric family of quartic asymmetric double-well potentials
- Exploring Supersymmetry: Interchangeability Between Jaynes-Cummings and Anti-Jaynes-Cummings Models
- Supersymmetric correspondence in spectra on a graph and its line graph: From circuit theory to spoof plasmons on metallic lattices
- Optical ladder operators in the Glauber-Fock oscillator array
- Phase state and related nonlinear coherents states
- On the paradoxical evolution of the number of photons in a new model of interpolating Hamiltonians
- Isospectral and square root Cholesky photonic lattices
- Supersymmetric relativistic quantum mechanics in time-domain
- Statistical properties of London modified coherent states