| Records |
Author  |
Arnault, P.; Di Molfetta, G.; Brachet, M.; Debbasch, F. |
| Title |
Quantum walks and non-Abelian discrete gauge theory |
Type |
Journal Article |
| Year |
2016 |
Publication |
Physical Review A |
Abbreviated Journal |
Phys. Rev. A |
| Volume |
94 |
Issue |
1 |
Pages |
012335 - 6pp |
| Keywords |
|
| Abstract |
A family of discrete-time quantum walks (DTQWs) on the line with an exact discrete U(N) gauge invariance is introduced. It is shown that the continuous limit of these DTQWs, when it exists, coincides with the dynamics of a Dirac fermion coupled to usual U(N) gauge fields in two-dimensional spacetime. A discrete generalization of the usual U(N) curvature is also constructed. An alternate interpretation of these results in terms of superimposed U(1) Maxwell fields and SU(N) gauge fields is discussed in the Appendix. Numerical simulations are also presented, which explore the convergence of the DTQWs towards their continuous limit and which also compare the DTQWs with classical (i.e., nonquantum) motions in classical SU(2) fields. The results presented in this paper constitute a first step towards quantum simulations of generic Yang-Mills gauge theories through DTQWs. |
| Address |
[Arnault, Pablo; Debbasch, Fabrice] Univ Paris 06, Univ Paris 04, PSL Res Univ, LERMA,Observ Paris,CNRS,UMR 8112, F-75014 Paris, France, Email: pablo.arnault@upmc.fr; |
| Corporate Author |
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Thesis |
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| Publisher |
Amer Physical Soc |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
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Edition |
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| ISSN |
2469-9926 |
ISBN |
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Medium |
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| Area |
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Expedition |
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Conference |
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| Notes |
WOS:000380095000005 |
Approved |
no |
| Is ISI |
yes |
International Collaboration |
yes |
| Call Number |
IFIC @ pastor @ |
Serial |
2761 |
| Permanent link to this record |
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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 |
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Thesis |
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| Publisher |
Nature Publishing Group |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
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Edition |
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| ISSN |
2045-2322 |
ISBN |
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Medium |
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| Area |
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Expedition |
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Conference |
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| Notes |
WOS:000459799800138 |
Approved |
no |
| Is ISI |
yes |
International Collaboration |
yes |
| Call Number |
IFIC @ pastor @ |
Serial |
3923 |
| Permanent link to this record |
