“…Note that reaching a faithful final state is not incompatible with some transient excitation in the instantaneous basis at intermediate times, i.e., the process does not have to be slow (in the usual quantum mechanical jargon, "adiabatic"), although slowness is certainly a simple way to avoid heating, at least for ideal conditions. Efficient atom transport is a major goal for many applications such as quantum information processing in multiplexed trap arrays [1,2] or quantum registers [3]; controlled translation from the production (cooling) chamber to interaction or manipulation zones [4][5][6]; accurate control of interaction times and locations, e.g. in cavity QED experiments [7], quantum gates [8] or metrology [9]; and velocity control to launch [10], or stop atoms [11,12].…”