60 citations · 229 across the 10 of their papers we have counts for
10 papers
Edge states of a three dimensional kicked rotor
Alexandra Bakman, Hagar Veksler, Shmuel Fishman
Edge localization is a fascinating quantum phenomenon. In this paper, the underlying mechanism generating it is presented analytically and verified numerically for a weakly kicked…
Ultracold atoms in quasi-1D traps: a step beyond the Lieb-Liniger model
Krzysztof Jachymski, Florian Meinert, Hagar Veksler +2
Ultracold atoms placed in a tight cigar-shaped trap are usually described in terms of the Lieb-Liniger model. We study the extensions of this model which arise when van der Waals i…
Collapse and Revival for a slightly anharmonic Hamiltonian
Alexandra Bakman, Hagar Veksler, Shmuel Fishman
The effect of quantum collapse and revival is a fascinating interference phenomenon. In this paper the phenomenon is demonstrated analytically and numerically for a simple system,…
A generalized Lieb-Liniger model
Hagar Veksler, Shmuel Fishman
In 1963, Lieb and Liniger solved exactly a one dimensional model of bosons interacting by a repulsive δ-potential and calculated the ground state in the thermodynamic limit. In the…
Semiclassical analysis of Bose-Hubbard dynamics
Hagar Veksler, Shmuel Fishman
In this work the two site Bose-Hubbard model is studied analytically in the limit of weak coupling u and large number of particles N . The semiclassical approximation where \frac{1…
Collapses and revivals of matter waves
Hagar Veksler, Shmuel Fishman
Quantum collapses and revivals are fascinating manifestations of interference. Of particular interest in recent years are macroscopic quantum interference effects in Bose-Einstein…
A simple model for interactions and corrections to the Gross-Pitaevskii Equation
Hagar Veksler, Shmuel Fishman, Wolfgang Ketterle
One of the assumptions leading to the Gross-Pitaevskii Equation (GPE) is that the interaction between atom pairs can be written effectively as a δ-function so that the interaction…
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…
Direct observation of number squeezing in an optical lattice
A. Itah, H. Veksler, O. Lahav +4
We present an in-situ study of an optical lattice with tunneling and single lattice site resolution. This system provides an important step for realizing a quantum computer. The re…