Tunable waveguide lattices with nonuniform parity-symmetric tunneling
Tunable waveguide lattices with nonuniform parity-symmetric tunneling
We investigate the single-particle time evolution and two-particle quantum correlations in a one-dimensional $N$-site lattice with a site-dependent nearest-neighbor tunneling function ${t}_{\ensuremath{\alpha}}(k)={t}_{0}[k(N\ensuremath{-}k)]{}^{\ensuremath{\alpha}/2}$. Since the bandwidth and the energy-level spacings for such a lattice both depend upon $\ensuremath{\alpha}$, we show that the observable properties of a wave packet, such as its …