6533b85afe1ef96bd12b9895
RESEARCH PRODUCT
Fermion confinement via quantum walks in (2+1)-dimensional and (3+1)-dimensional space-time
G. Di MolfettaG. Di MolfettaI. Márquez-martínArmando Pérezsubject
PhysicsAnderson localizationSpace timeOne-dimensional spaceFermion01 natural sciences010305 fluids & plasmas[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]Quantum mechanicsLattice (order)0103 physical sciencesQuantum walkBrane010306 general physicsScalar fieldComputingMilieux_MISCELLANEOUSdescription
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)PYLBAJ0370-269310.1016/0370-2693(83)91253-4]. 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-04-01 |