The Cauchy-Schwarz (CS) inequality-one of the most widely used and important inequalities in mathematics-can be formulated as an upper bound to the strength of correlations between classicallyâ€¦ (More)

We calculate the evaporative cooling dynamics of trapped one-dimensional Bose-Einstein condensates for parameters leading to a range of condensates and quasicondensates in the final equilibriumâ€¦ (More)

We investigate the atom-optical analog of degenerate four-wave mixing by colliding two Bose-Einstein condensates of metastable helium. The momentum distribution of the scattered atoms is measured inâ€¦ (More)

We show that solitons occur generically in the thermal equilibrium state of a weakly interacting elongated Bose gas, without the need for external forcing or perturbations. This reveals a major newâ€¦ (More)

We demonstrate sub-Poissonian number differences in four-wave mixing of Bose-Einstein condensates of metastable helium. The collision between two Bose-Einstein condensates produces a scattering haloâ€¦ (More)

The performance of the positive P phase-space representation for exact manybody quantum dynamics is investigated. Gases of interacting bosons are considered, where the full quantum equations toâ€¦ (More)

A controlled hybridization between full quantum dynamics and semiclassical approaches (mean-field and truncated Wigner) is implemented for interacting many-boson systems. It is then demonstrated howâ€¦ (More)

The recent Letter [1] describes full quantum simulations of a dark soliton in a Bose-Einstein condensate in a regime where the system cannot be described by the perturbative approach. The authorsâ€¦ (More)