When a neutral atom moves in a properly designed laser field, its center-of-mass motion
may mimic the dynamics of a charged particle in a magnetic field, with the emergence of a …

We consider the relationship between the tight-binding Hamiltonian of the two-dimensional
honeycomb lattice of carbon atoms with nearest neighbor hop** only and the 2+ 1 …

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 …

We present the first experimental realization of an optical analog for relativistic quantum
mechanics by simulating the Zitterbewegung (trembling motion) of a free Dirac electron in an …

Time-periodic perturbations can be used to engineer topological properties of matter by
altering the Floquet band structure. This is demonstrated for the helical edge state of a spin …

Pseudospin plays a central role in many novel physical properties of graphene and other
artificial systems which have pseudospins of 1/2. Here we show that in certain photonic …

We propose an optical lattice scheme which would permit the experimental observation of
Zitterbewegung (ZB) with ultracold, neutral atoms. A four-level tripod variant of the setup for …