Bose-Einstein condensates in optical quasicrystal lattices

Bose-Einstein Condensates in Optical Quasicrystal Lattices

Producing Bose-Einstein condensates using optical lattices.

We relate the entropies of ensembles of atoms in optical lattices to atoms in simple traps. We then determine which ensembles of lattice-bound atoms will adiabatically transform into a Bose condensate. This shows a feasible approach to Bose condensation without evaporative cooling.

Avalanches of Bose–Einstein condensates in leaking optical lattices

We study the decay of an atomic Bose–Einstein condensate (BEC) population N (τ ) from the leaking boundaries of an optical lattice (OL). For a rescaled interatomic interaction strength 3>3b, discrete breathers (DBs) are created that prevent the atoms from reaching the leaking boundaries. Collisions of other lattice excitations with the outermost DBs result in avalanches, i.e. steps in N (τ ), w...

Resonant tunneling of Bose–Einstein condensates in optical lattices

In this paper, we present the theoretical as well as experimental results on resonantly enhanced tunneling of Bose–Einstein condensates in optical lattices both in the linear case and for small nonlinearities. Our results demonstrate the usefulness of condensates in optical lattices for simulating Hamiltonians originally used for describing solid-state phenomena. 6 Author to whom any correspond...

Feshbach resonance management of Bose-Einstein condensates in optical lattices.

We analyze gap solitons in trapped Bose-Einstein condensates (BECs) in optical lattice potentials under Feshbach resonance management. Starting with an averaged Gross-Pitaevsky equation with a periodic potential, we employ an envelope-wave approximation to derive coupled-mode equations describing the slow BEC dynamics in the first spectral gap of the optical lattice. We construct exact analytic...