363 citations · 417 across the 7 of their papers we have counts for
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nlin.CD2002
Crossover from Diffusive to Ballistic Transport in Periodic Quantum Maps
Daniel K. Wojcik, J. Robert Dorfman
We derive an expression for the mean square displacement of a particle whose motion is governed by a uniform, periodic, quantum multi-baker map. The expression is a function of bot…
quant-ph2002★ 37 cited
Diffusive-ballistic crossover in 1D quantum walks
Daniel K. Wojcik, J. R. Dorfman
We show that particle transport in a uniform, quantum multi-baker map, is generically ballistic in the long time limit, for any fixed value of Planck's constant. However, for fixed…
cond-mat.stat-mech2002★ 12 cited
Quantum Multibaker Maps: Extreme Quantum Regime
Daniel K. Wojcik, J. R. Dorfman
We introduce a family of models for quantum mechanical, one-dimensional random walks, called quantum multibaker maps (QMB). These are Weyl quantizations of the classical multibaker…