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Scattering of matter wave solitons on localized potentials
Sidse Damgaard Hansen, Nicolai Nygaard, Klaus Mølmer
We present numerical and analytical results for the reflection and transmission properties of matter wave solitons impinging on localized scattering potentials in one spatial dimen…
Born-Oppenheimer description of two atoms in a combined oscillator and lattice trap
Ole Søe Sørensen, Klaus Mølmer
We analyze the quantum states of two atoms in a combined harmonic oscillator and periodic lattice trap in one spatial dimension. In the case of tight-binding and only nearest neigh…
Dynamical effects of exchange symmetry breaking in mixtures of interacting bosons
Malte C. Tichy, Jacob F. Sherson, Klaus Mølmer
In a double-well potential, a Bose-Einstein condensate exhibits Josephson oscillations or self-trapping, depending on its initial preparation and on the ratio of inter-particle int…
Relative and center-of-mass motion in the attractive Bose-Hubbard model
Ole Søe Sørensen, Søren Gammelmark, Klaus Mølmer
We present first-principle numerical calculations for few particle solutions of the attractive Bose-Hubbard model with periodic boundary conditions. We show that the low-energy man…
Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions
Manuel Valiente, Nikolaj Zinner, Klaus Molmer
We present universal relations for a two-dimensional Fermi gas with pairwise contact interactions. The derivation of these relations is made possible by obtaining the explicit form…