A recent rejuvenation of experimental and theoretical interest in the physics of few-body
systems has provided deep, fundamental insights into a broad range of problems. Few-body …

A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …

A negative effective mass can be realized in quantum systems by engineering the
dispersion relation. A powerful method is provided by spin-orbit coupling, which is currently …

A brief review is given of some well-known and some very recent results obtained in studies
of two-and three-dimensional (2D and 3D) solitons. Both zero-vorticity (fundamental) …

We introduce one-and two-dimensional (1D and 2D) continuum and discrete models for the
two-component BEC, with the spin-orbit (SO) coupling of the Rashba type between the …

Optical lattices and Feshbach resonances are two of the most ubiquitously used tools in
atomic physics, allowing for the precise control, discrete confinement, and broad tunability of …

In this work, we investigate the bound-state problem in a one-dimensional spin-1 Dirac
Hamiltonian with a flat band. It is found that the flat band has significant effects on the bound …

We introduce a discrete model for binary spin–orbit-coupled Bose–Einstein condensates
trapped in a deep one-dimensional optical lattice. Two different types of the couplings are …

It is shown that the single-particle spin-orbit coupling terms, which—in the cold atom context—
are associated with synthetic gauge fields, can significantly and nontrivially modify the …

In this work, we study the universal relations for one-dimensional spin-orbital-coupled
fermions near both s-and p-wave resonances using effective field theory. Since the spin …