TY  - JOUR
AU  - Marquez-Martin, I.
AU  - Di Molfetta, G.
AU  - Perez, A.
PY  - 2017
DA  - 2017//
TI  - Fermion confinement via quantum walks in (2+1)-dimensional and (3+1)-dimensional space-time
T2  - Phys. Rev. A
JO  - Physical Review A
SP  - 042112
EP  - 5pp
VL  - 95
IS  - 4
PB  - Amer Physical Soc
AB  - We analyze the properties of a two-and three-dimensional quantum walk that are inspired by the idea of a brane-world model put forward by Rubakov and Shaposhnikov [Phys. Lett. B 125, 136 (1983)]. In that model, particles are dynamically confined on the brane due to the interaction with a scalar field. We translated this model into an alternate quantum walk with a coin that depends on the external field, with a dependence which mimics a domain wall solution. As in the original model, fermions (in our case, the walker) become localized in one of the dimensions, not from the action of a random noise on the lattice (as in the case of Anderson localization) but from a regular dependence in space. On the other hand, the resulting quantum walk can move freely along the "ordinary" dimensions.
SN  - 2469-9926
UR  - http://arxiv.org/abs/1612.08027
UR  - https://doi.org/10.1103/PhysRevA.95.042112
DO  - 10.1103/PhysRevA.95.042112
LA  - English
N1  - WOS:000399931500006
ID  - Marquez-Martin_etal2017
ER  -