  Entanglement is the central resource in adiabatic quantum transport.
Dephasing affects the availability of that resource by biasing trajectories,
driving transitions between success and failure. This depletion of entanglement
is important for the practical implementation of quantum technologies. We
present a new perspective on the failure of adiabatic computation by
understanding the failure of adiabatic transport as a dynamical phase
transition. These ideas are demonstrated in a toy model of adiabatic quantum
transport in a two spin system.
