A quantum walk simulation of extra dimensions with warped geometry.

ABSTRACT: We investigate the properties of a quantum walk which can simulate the behavior of a spin 1/2 particle in a model with an ordinary spatial dimension, and one extra dimension with warped geometry between two branes. Such a setup constitutes a [Formula: see text] dimensional version of the Randall-Sundrum model, which plays an important role in high energy physics. In the continuum spacetime limit, the quantum walk reproduces the Dirac equation corresponding to the model, which allows to anticipate some of the properties that can be reproduced by the quantum walk. In particular, we observe that the probability distribution becomes, at large time steps, concentrated near the "low energy" brane, and can be approximated as the lowest eigenstate of the continuum Hamiltonian that is compatible wi

SUBMITTER: Angles-Castillo A 

PROVIDER: S-EPMC8816941 | biostudies-literature | 2022 Feb

REPOSITORIES: biostudies-literature