95 citations · 367 across the 13 of their papers we have counts for
13 papers
Transport in time-dependent random potentials
Yevgeny Krivolapov, Shmuel Fishman
The classical dynamics in stationary potentials that are random both in space and time is studied. It can be intuitively understood with the help of Chirikov resonances that are ce…
Is transport in time-dependent random potentials universal ?
Yevgeny Krivolapov, Shmuel Fishman
The growth of the average kinetic energy of classical particles is studied for potentials that are random both in space and time. Such potentials are relevant for recent experiment…
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…
The Nonlinear Schroedinger Equation with a random potential: Results and Puzzles
Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer
The Nonlinear Schroedinger Equation (NLSE) with a random potential is motivated by experiments in optics and in atom optics and is a paradigm for the competition between the random…
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…
Quantum chaos of a mixed, open system of kicked cold atoms
Yevgeny Krivolapov, Shmuel Fishman, Edward Ott +1
The quantum and classical dynamics of particles kicked by a gaussian attractive potential are studied. Classically, it is an open mixed system (the motion in some parts of the phas…
A numerical and symbolical approximation of the Nonlinear Anderson Model
Yevgeny Krivolapov, Shmuel Fishman, Avy Soffer
A modified perturbation theory in the strength of the nonlinear term is used to solve the Nonlinear Schroedinger Equation with a random potential. It is demonstrated that in some c…
Double humped states in the nonlinear Schroedinger equation with a random potential
Hagar Veksler, Yevgeny Krivolapov, Shmuel Fishman
The role of double humped states in spreading of wave packets for the nonlinear Schroedinger equation (NLSE) with a random potential is explored and the spreading mechanism is unra…
Spreading for the generalized nonlinear Schroedinger equation with disorder
Hagar Veksler, Yevgeny Krivolapov, Shmuel Fishman
The dynamics of an initially localized wavepacket is studied for the generalized nonlinear Schroedinger Equation with a random potential, where the nonlinearity term is |ψ|^p*ψand…
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…
On the distribution of linear combinations of eigenvalues of the Anderson model
Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer
Probabilistic estimates on linear combinations of eigenvalues of the one dimensional Anderson model are derived. So far only estimates on the density of eigenvalues and of pairs we…
Theory of coexistence of superconductivity and ferroelectricity
Y. Krivolapov, A. Mann, Joseph L. Birman
A new investigation of the coexistence and competition of ferroelectricity and superconductivity is reported. In particular we show that the starting Hamiltonian of a previous stud…