95 citations · 367 across the 13 of their papers we have counts for
4 papers · 1 filter
Super-diffusion in optical realizations of Anderson localization
Yevgeny Krivolapov, Liad Levi, Shmuel Fishman +2
We discuss the dynamics of particles in one dimension in potentials that are random both in space and in time. The results are applied to recent optics experiments on Anderson loca…
Enhanced transport when Anderson localization is destroyed
Yevgeny Krivolapov, Liad Levi, Shmuel Fishman +2
We investigate the anomalous transport in optically-induced potentials that are random in both space and time. We find that the time variation destroys Anderson localization, repla…
Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model
Alexander Rivkind, Yevgeny Krivolapov, Shmuel Fishman +1
We show that the spacing between eigenvalues of the discrete 1D Hamiltonian with arbitrary potentials which are bounded, and with Dirichlet or Neumann Boundary Conditions is bounde…
Perturbation theory for the Nonlinear Schroedinger Equation with a random potential
Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer
A perturbation theory for the Nonlinear Schroedinger Equation (NLSE) in 1D on a lattice was developed. The small parameter is the strength of the nonlinearity. For this purpose sec…