263 citations · 2.2k across the 84 of their papers we have counts for
16 papers · 1 filter
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…
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,…
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…
Effects of interactions on the dynamics of driven cold atoms
Alexandra Bakman, Shmuel Fishman
The quantum fidelity was introduced by Peres to study some fingerprints of classically chaotic behavior in the quantum dynamics of the corresponding systems. In the present paper t…
Anderson localisation in laser kicked molecules
Johannes Floß, Shmuel Fishman, Ilya Sh. Averbukh
The paper explores the prospects of observing the phenomenon of dynamical Anderson localisation via non-resonant Raman-type rotational excitation of molecules by periodic trains of…
Dynamic Localization of Interacting Particles in an Anharmonic Potential
Mark Herrera, Thomas M. Antonsen, Edward Ott +1
We investigate the effect of anharmonicity and interactions on the dynamics of an initially Gaussian wavepacket in a weakly anharmonic potential. We note that depending on the stre…
Echoes and revival echoes in systems of anharmonically confined atoms
Mark Herrera, Thomas M. Antonsen, Edward Ott +1
We study echoes and what we call 'revival echoes' for a collection of atoms that are described by a single quantum wavefunction and are confined in a weakly anharmonic trap. The ec…
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…
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…
Ramsey interferometry with a spin embedded in a Coulomb chain
Gabriele De Chiara, Tommaso Calarco, Shmuel Fishman +1
We show that the statistical properties of a Coulomb crystal can be measured by means of a standard interferometric procedure performed on the spin of one ion in the chain. The ion…
Regimes of stability of accelerator modes
Rebecca Hihinashvili, Tali Oliker, Yaniv S. Avizrats +3
The phase diagram of a simple area-preserving map, which was motivated by the quantum dynamics of cold atoms, is explored analytically and numerically. Periodic orbits of a given w…
Decay of Quantum Accelerator Modes
Michael Sheinman, Shmuel Fishman, Italo Guarneri +1
Experimentally observable Quantum Accelerator Modes are used as a test case for the study of some general aspects of quantum decay from classical stable islands immersed in a chaot…
Arnol'd Tongues and Quantum Accelerator Modes
Italo Guarneri, Laura Rebuzzini, Shmuel Fishman
The stable periodic orbits of an area-preserving map on the 2-torus, which is formally a variant of the Standard Map, have been shown to explain the quantum accelerator modes that…
Decoherence as a Probe of Coherent Quantum Dynamics
Michael B. d'Arcy, Rachel M. Godun, Gil S. Summy +4
The effect of decoherence, induced by spontaneous emission, on the dynamics of cold atoms periodically kicked by an optical lattice is experimentally and theoretically studied. Ide…