We consider the non-equilibrium dynamics of a weakly interacting Bose gas tightly confined to highly elongated double well potential. use self-consistent time-dependent Hartree--Fock approximation in combination with projection full three-dimensional theory several coupled one-dimensional channels. This allows us model splitting and phase imprinting initially single quasi potential obtain micro...

We use analytic and numerical methods to determine the density of states of a one-dimensional electron gas coupled to a spatially random quasi-static back-scattering potential of long correlation length. Our results provide insight into the ’pseudogap’ phenomenon occurring in underdoped high-Tc superconductors, quasi-one-dimensional organic conductors and liquid metals. They demonstrate the imp...

We show how density dependent gauge potentials can be induced in dilute gases of ultracold atoms using light-matter interactions. We study the effect of the resulting interacting gauge theory and show how it gives rise to novel topological states in the ultracold gas. We find in particular that the onset of persistent currents in a ring geometry is governed by a critical number of particles. Th...

We investigate the correlation effects in a two-component, one-dimensional electron gas interacting via repulsive 6 function interactions. Electron correlations are treated within the approximation scheme of Singwi, Tosi, Land, and SjGlander (STLS) which yields analytical expressions for the local-field corrections. The static structure factors, pair distribution functions, collective excitatio...