Rapidly growing demands for fast information processing have launched a race for creating
compact and highly efficient optical devices that can reliably transmit signals without losses …

The exploration of quantum‐inspired symmetries in optical and photonic systems has
witnessed immense research interest both fundamentally and technologically in a wide …

Classical Hamiltonian systems with balanced loss and gain are considered in this review. A
generic Hamiltonian formulation for systems with space-dependent balanced loss and gain …

We study dynamics of Dirac solitons in prototypical networks modeling them by the
nonlinear Dirac equation on metric graphs. Stationary soliton solutions of the nonlinear …

We consider a dimer lattice of the Fermi-Pasta-Ulam-Tsingou (FPUT) type, where alternating
linear couplings have a controllably small difference and the cubic nonlinearity (β-FPUT) is …

We are interested in the cubic Dirac equation with mass m∈[0, 1] in two space dimensions,
which is also known as the Soler model. We conduct a thorough study on this model with …

We investigate the robustness of quantum relativistic Jackiw–Rebbi states, which have been
found recently in a system consisting of two interfaced binary waveguide arrays with …

In 1978, Friedberg and Lee introduced the phenomenological soliton bag model of hadrons,
generalizing the MIT bag model developed in 1974 shortly after the formulation of QCD. In …

The nonlinear Dirac equation is a magical equation that hides many mysteries of nature, so
it is worth systematic study. In this paper, we give a detailed analysis for the effects of various …

Since the establishment of relativistic quantum mechanics by Dirac in 1928, many physicists
have tried to link the strange properties of elementary particles to the nonlinear Dirac …