Physics – Optics
Scientific paper
2011-03-21
Phys. Rev. A 83, 063817 (2011)
Physics
Optics
5 pages, 4 figures
Scientific paper
10.1103/PhysRevA.83.063817
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 $t_\alpha(k)=t_0[k(N-k)]^{\alpha/2}$. Since the bandwidth and the energy levels spacings for such a lattice both depend upon $\alpha$, we show that the observable properties of a wavepacket, such as its spread and the relative phases of its constitutents, vary dramatically as $\alpha$ is varied from positive to negative values. We also find that the quantum correlations are exquisitely sensitive to the form of the tunneling function. Our results suggest that arrays of waveguides with position-dependent evanascent couplings will show rich dynamics with no counterpart in present-day, traditional systems.
Joglekar Yogesh N.
Thompson Clinton
Vemuri Gautam
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