We present an analysis of two-dimensional (2D) matter-wave solitons, governed by the
pseudospinor system of Gross-Pitaevskii equations with self-and cross attraction, which …

We review the design, theory, and applications of two dimensional periodic lattices hosting
conical intersections in their energy-momentum spectrum. The best known example is the …

Improved uniform error bounds on time-splitting methods are rigorously proven for the long-
time dynamics of the weakly nonlinear Dirac equation (NLDE), where the nonlinearity …

In this study, a standing wave in an optical nanocavity with Bose-Einstein condensate (BEC)
constitutes a one-dimensional optical lattice potential in the presence of a finite two bodies …

We apply the two-scale formulation approach to propose uniformly accurate (UA) schemes
for solving the nonlinear Dirac equation in the nonrelativistic limit regime. The nonlinear …

We analyze the vortex solution space of the $(2+ 1) $-dimensional nonlinear Dirac equation
for bosons in a honeycomb optical lattice at length scales much larger than the lattice …

In this study we consider we consider a prototypical example of a-symmetric Dirac model.
We discuss the underlying linear limit of the model and identify the threshold of the-phase …

When a measurement is carried out on one of the entangled parties, the second party can
extract work owing to the reduction in its entropy. Here we inquire the amount of work/energy …

We examine-both experimentally and numerically-a two-dimensional nonlinear driven
electrical lattice with honeycomb structure. Drives are considered over a range of …

We explore the formation and collective modes of Bose-Einstein condensate of Dirac
magnons (Dirac BEC). While we focus on two-dimensional Dirac magnons, an employed …