62 citations · 189 across the 9 of their papers we have counts for
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nlin.PS2018★ 9 cited
Almost compact moving breathers with fine-tuned discrete time quantum walks
I. Vakulchyk, M. V. Fistul, Y. Zolotaryuk +1
Discrete time quantum walks are unitary maps defined on the Hilbert space of coupled two-level systems. We study the dynamics of excitations in a nonlinear discrete time quantum wa…
cond-mat.dis-nn2018★ 62 cited
Universal Nonlinear Disordered Wave Packet Subdiffusion: 12 Decades
Ihor Vakulchyk, Mikhail V. Fistul, Sergej Flach
We use a novel unitary map toolbox -- discrete time quantum walks originally designed for quantum computing -- to implement ultrafast computer simulations of extremely slow dynamic…