PT Journal
AU Marquez-Martin, I
   Di Molfetta, G
   Perez, A
TI Fermion confinement via quantum walks in (2+1)-dimensional and (3+1)-dimensional space-time
SO Physical Review A
JI Phys. Rev. A
PY 2017
BP 042112
EP 5pp
VL 95
IS 4
DI 10.1103/PhysRevA.95.042112
LA English
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.
ER