%0 Journal Article %T One-dimensional matter waves as a multi-state bit %A Jacopo Giacomelli %J Physics %D 2014 %I arXiv %X We design a technique to control the position of a localized matter wave. Our system is composed by a two counter-phased periodic potentials and a third optical lattice which can be chosen to be either periodic or disordered. The only control needed on the system is a three-state switch that allows the instantaneous selection of the desired potential. We show that this framework is robust and the multi-state bit behavior can be observed under generic hypothesis. %U http://arxiv.org/abs/1406.6375v1