263 citations · 2.2k across the 84 of their papers we have counts for
12 papers · 1 filter
Dynamics of a Classical Particle in a Quasi Periodic Potential
Yaniv Tenenbaum Katan, Tal Kachman, Shmuel Fishman +1
We study the dynamics of a one-dimensional classical particle in a space and time dependent potential with randomly chosen parameters. The focus of this work is a quasi-periodic po…
From classical to quantum criticality
Daniel Podolsky, Efrat Shimshoni, Pietro Silvi +4
We study the crossover from classical to quantum phase transitions at zero temperature within the framework of theory. The classical transition at zero temperature can be des…
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…
Quantum structural phase transition in chains of interacting atoms
Efrat Shimshoni, Giovanna Morigi, Shmuel Fishman
A quasi one--dimensional system of trapped, repulsively interacting atoms (e.g., an ion chain) exhibits a structural phase transition from a linear chain to a zigzag structure, tun…
Quantum zigzag transition in ion chains
Efrat Shimshoni, Giovanna Morigi, Shmuel Fishman
A string of trapped ions at zero temperature exhibits a structural phase transition to a zigzag structure, tuned by reducing the transverse trap potential or the interparticle dist…
Asymptotic localization of stationary states in the nonlinear Schroedinger equation
Shmuel Fishman, Alexander Iomin, Kirone Mallick
The mapping of the Nonlinear Schroedinger Equation with a random potential on the Fokker-Planck equation is used to calculate the localization length of its stationary states. The…
Structural phase transitions in low-dimensional ion crystals
Shmuel Fishman, Gabriele De Chiara, Tommaso Calarco +1
A chain of singly-charged particles, confined by a harmonic potential, exhibits a sudden transition to a zigzag configuration when the radial potential reaches a critical value, de…
Fractional -scaling for quantum kicked rotors without cantori
J. Wang, T. S. Monteiro, S. Fishman +2
Previous studies of quantum delta-kicked rotors have found momentum probability distributions with a typical width (localization length ) characterized by fractional -sca…
Dynamics of an ion chain in a harmonic potential
Giovanna Morigi, Shmuel Fishman
Cold ions in anisotropic harmonic potentials can form ion chains of various sizes. Here, the density of ions is not uniform, thus the eigenmodes are not phononic-like waves. We stu…
Eigenmodes and thermodynamics of a Coulomb chain in a harmonic potential
Giovanna Morigi, Shmuel Fishman
The density of ions trapped in a harmonic potential in one dimension is not uniform. Consequently the eigenmodes are not phonons. We calculate the long wavelength modes in the cont…
Probabilistic analysis of the phase space flow for linear programming
Asa Ben-Hur, Joshua Feinberg, Shmuel Fishman +1
The phase space flow of a dynamical system leading to the solution of Linear Programming (LP) problems is explored as an example of complexity analysis in an analog computation fra…