  This article presents a dissipative method of creating a spin steady state,
or a state whose spin expectation values approaches a fixed value over time,
using a trapped gas of ultracold atoms coupled to a background BEC. The
ultracold atoms are trapped in a double potential well embedded in a wide
harmonic trap, which has a higher energy level than the double wells. The
trapped atoms are then excited out of the double well trap into the harmonic
trap using Raman lasers. Due to the coupling of the system to the background
BEC, the atoms are then able to return to the double potential well by emitting
an excitation into the background BEC, which serves as a reservoir of these
excitations. By repeatedly coupling and uncoupling the trapped ultracold atoms
and the background BEC over fixed intervals of time, the expectation value of
the total spin of these atoms will, over time, reach a steady - state value.
