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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. Theultracold atoms are trapped in a double potential well embedded in a wideharmonic trap, which has a higher energy level than the double wells. Thetrapped atoms are then excited out of the double well trap into the harmonictrap using Raman lasers. Due to the coupling of the system to the backgroundBEC, the atoms are then able to return to the double potential well by emittingan excitation into the background BEC, which serves as a reservoir of theseexcitations. By repeatedly coupling and uncoupling the trapped ultracold atomsand the background BEC over fixed intervals of time, the expectation value ofthe total spin of these atoms will, over time, reach a steady - state value.

Dissipative Preparation of Many-Body Spin Steady States Using Trapped Ultracold Atoms