This paper presents a review of the current state of the art in the research field of cold and ultracold molecules. It serves as an introduction to the focus issue of New Journal of Physics on Cold… Expand

The production of matter-wave solitons in an ultracold lithium-7 gas opens possibilities for future applications in coherent atom optics, atom interferometry, and atom transport.Expand

NEW DIRECTIONS AND NEW CONCEPTS IN QUANTUM PHASE TRANSITIONS Finite Temperature Dissipation and Transport Near Quantum Critical Points, Subir Sachdev Dissipation, Quantum Phase Transitions, and… Expand

Theoretical understanding of strongly correlated systems in one spatial dimension (1D) has been greatly advanced by the density-matrix renormalization group (DMRG) algorithm, which is a variational… Expand

The stability regimes and nonlinear dynamics of bright solitons created in a harmonic potential which is transversely attractive and longitudinally expulsive are presented. This choice of potential… Expand

A new way of nanoengineering graphene is presented by using defect domains, which have ring structures that depart from the usual honeycomb lattice, though each carbon atom still has three nearest neighbors.Expand

The results show that a large number of condensed atoms is sufficient to form a stable, periodic condensate, which implies stability of states near the Thomas-Fermi limit.Expand

Using a standing light wave potential, a stable quasi-one-dimensional attractive dilute-gas Bose-Einstein condensate can be realized in a mean-field approximation by the cubic nonlinear Schrödinger equation with attractive nonlinearity and an elliptic function potential.Expand

A new family of stationary solutions to the cubic nonlinear Schrödinger equation with an elliptic function potential is presented, which model a quasi-one-dimensional dilute gas Bose-Einstein condensate trapped in a standing light wave.Expand