Graphene is a rapidly rising star on the horizon of materials science and condensed-matter
physics. This strictly two-dimensional material exhibits exceptionally high crystal and …

The experimental and theoretical research of spin–orbit-coupled ultracold atomic gases has
advanced and expanded rapidly in recent years. Here, we review some of the progress that …

The Dirac equation successfully merges quantum mechanics with special relativity. It
provides a natural description of the electron spin, predicts the existence of antimatter and is …

Spin-orbit-coupled ultracold atoms provide an intriguing new avenue for the study of rich
spin dynamics in superfluids. In this Rapid Communication, we observe Zitterbewegung, the …

We present a method of simulating the Dirac equation in 3+ 1 dimensions for a free spin-1/2
particle in a single trapped ion. The Dirac bispinor is represented by four ionic internal …

It is shown, for the first time, that the Zitterbewegung of photons can appear near the Dirac
point in a two-dimensional photonic crystal. The superiority of such a phenomenon for …

Zitterbewegung, a force-free trembling motion first predicted for relativistic fermions like
electrons, was an unexpected consequence of the Dirac equation's unification of quantum …

We investigate the emergence of extra Dirac points in the electronic structure of a
periodically spaced barrier system, ie, a superlattice, on single-layer graphene, using a …

We study the dynamics of the 2+ 1 Dirac oscillator exactly and find spin oscillations due to a
Zitterbewegung of purely relativistic origin. We find an exact map** of this quantum …

We evaluate the dispersion relation for massless fermions, described by the Dirac equation,
and for zero-spin bosons, described by the Klein-Gordon equation, moving in two …