  We investigate the quantum correlation dynamics in a dark-soliton qubits with
special attention to quantum discord. Recently, dark-soliton qubit exhibiting
appreciably long lifetime are proved to be an excellent candidate for
information processing. Depending on the precise distance between the
dark-soliton qubits, the decay rate of Dicke symmetric and antisymmetric state
is suppressed or enhanced. With the Renyi-2 entropy, we derive a simple
analytical expression for the quantum discord, and explore the generation and
decay of correlation for different initial states. We believe the present work
could pave the stage for a new generation of quantum discord based purely on
matter-wave phononics.
