Quantum walk hydrodynamics
Quantum Physics
2017-10-02 v1 General Relativity and Quantum Cosmology
Abstract
A simple Discrete-Time Quantum Walk on the line is revisited and given an hydrodynamic interpretation through a novel relativistic generalization of the Madelung transform. Numerical results are presented which show that suitable initial conditions indeed produce hydrodynamical shocks. An analytical computation of the asymptotic quantum shock structure is presented. The non-relativistic limit is explored in the Supplementary Material (SM).
Cite
@article{arxiv.1709.10417,
title = {Quantum walk hydrodynamics},
author = {Mohamed Hatifi and Giuseppe Di Molfetta and Fabrice Debbasch and Marc Brachet},
journal= {arXiv preprint arXiv:1709.10417},
year = {2017}
}
Comments
14 Figs, any comment is welcome