170 citations · 1.2k across the 60 of their papers we have counts for
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quant-ph2013★ 92 cited
Quantum Walks in artificial electric and gravitational Fields
Giuseppe Di Molfetta, Marc Brachet, Fabrice Debbasch
The continuous limit of quantum walks (QWs) on the line is revisited through a recently developed method. In all cases but one, the limit coincides with the dynamics of a Dirac fer…
nlin.CD2013★ 43 cited
Turbulence in the two-dimensional Fourier-truncated Gross-Pitaevskii equation
Vishwanath Shukla, Marc Brachet, Rahul Pandit
We undertake a systematic, direct numerical simulation (DNS) of the two-dimensional, Fourier-truncated, Gross-Pitaevskii equation to study the turbulent evolutions of its solutions…