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11 papers · 2 filters
Deviations from Boltzmann-Gibbs equilibrium in confined optical lattices
Andreas Dechant, David A. Kessler, Eli Barkai
Cold atoms in dissipative optical lattices have long been known to exhibit anomalous kinetics due to an effective nonlinear friction force. Here we show that confining the spatial…
Fractional Edgeworth Expansion: Corrections to the Gaussian-Lévy Central Limit Theorem
Netanel Hazut, Shlomi Medalion, David A. Kessler +1
In this article we generalize the classical Edgeworth expansion for the probability density function (PDF) of sums of a finite number of symmetric independent identically distribut…
Asymptotic densities of ballistic Lévy walks
D. Froemberg, M. Schmiedeberg, E. Barkai +1
We propose an analytical method to determine the shape of density profiles in the asymptotic long time limit for a broad class of coupled continuous time random walks which operate…
Thermalization in a periodically driven fully-connected quantum Ising ferromagnet
Angelo Russomanno, Rosario Fazio, Giuseppe E. Santoro
By means of a Floquet analysis, we study the quantum dynamics of a fully connected Lipkin-Ising ferromagnet in a periodically driven transverse field showing that thermalization in…
Fluctuations around equilibrium laws in ergodic continuous-time random walks
Johannes H. P. Schulz, Eli Barkai
We study occupation time statistics in ergodic continuous-time random walks. Under thermal detailed balance conditions, the average occupation time is given by the Boltzmann-Gibbs…
Quantum Annealing - Foundations and Frontiers
Eliahu Cohen, Boaz Tamir
We briefly review various computational methods for the solution of optimization problems. First, several classical methods such as Metropolis algorithm and simulated annealing are…