Non-Abelian gauge fields emerge naturally in the description of adiabatically evolving
quantum systems having degenerate levels. Here we show that they also play a role in …

Group theory (GT) provides a rigorous framework for studying symmetries in various
disciplines in physics ranging from quantum field theories and the standard model to fluid …

We revisit electromagnetic field propagation through tight-binding arrays of coupled
photonic waveguides, with properties independent of the propagation distance, and recast it …

We implement a finite-dimensional representation of the 2+ 1D Lorentz group with a PT-
symmetric waveguide array. Our device can be engineered to behave like a multi-port …

We propose and demonstrate a novel type of optical integrated structure consisting of three
adiabatically coupled waveguides arranged in an N-shaped geometry. Unlike conventional …

We present a proposal for the optical simulation of para-Fermi oscillators in arrays of
coupled waveguides. We use a representation that arises as a deformation of the su (2) …

The analytic specifications of photonic lattices with fractional revival (FR) and perfect state
transfer (PST) are reviewed. The approach to their design which is based on orthogonal …

In recent years, the concept of “shortcuts to adiabaticity" has been originally proposed to
speed up sufficiently slow adiabatic process in various quantum systems without final …

Coherent states for equally spaced, homogeneous waveguide arrays are defined, in the
infinite, semiinfinite and finite cases, and resolutions of the identity are constructed, using …

We study electromagnetic field propagation through a planar three-waveguide coupler with
linear gain or loss in a configuration that is the optical analog of a quantum 𝒫𝒯-symmetric …