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Author  |
Hatifi, M.; Di Molfetta, G.; Debbasch, F.; Brachet, M. | ||||
| Title | Quantum walk hydrodynamics | Type | Journal Article | ||
| Year | 2019 | Publication | Scientific Reports | Abbreviated Journal | Sci Rep |
| Volume | 9 | Issue | Pages | 2989 - 7pp | |
| Keywords | |||||
| Abstract | A simple Discrete-Time Quantum Walk (DTQW) on the line is revisited and given an hydrodynamic interpretation through a novel relativistic generalization of the Madelung transform. Numerical results show that suitable initial conditions indeed produce hydrodynamical shocks and that the coherence achieved in current experiments is robust enough to simulate quantum hydrodynamical phenomena through DTQWs. An analytical computation of the asymptotic quantum shock structure is presented. The non-relativistic limit is explored in the Supplementary Material (SM). | ||||
| Address | [Hatifi, Mohamed] Aix Marseille Univ, CNRS, Ecole Cent Marseille, Inst Fresnel,UMR 7249, F-13013 Marseille, France, Email: giuseppe.dimolfetta@lis-lab.fr | ||||
| Corporate Author | Thesis | ||||
| Publisher | Nature Publishing Group | Place of Publication | Editor | ||
| Language | English | Summary Language | Original Title | ||
| Series Editor | Series Title | Abbreviated Series Title | |||
| Series Volume | Series Issue | Edition | |||
| ISSN | 2045-2322 | ISBN | Medium | ||
| Area | Expedition | Conference | |||
| Notes | WOS:000459799800138 | Approved | no | ||
| Is ISI | yes | International Collaboration | yes | ||
| Call Number | IFIC @ pastor @ | Serial | 3923 | ||
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