The 1D Yang-Gaudin model with two-body loss is exactly solvable, and dissipation reverses which spin configurations are most stable in bosonic versus fermionic systems.
It suffices to prove that S+B(l1)· · ·B(l M)|vac⟩= 0
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Exact Analysis of a One-Dimensional Yang-Gaudin Model with Two-Body Loss
The 1D Yang-Gaudin model with two-body loss is exactly solvable, and dissipation reverses which spin configurations are most stable in bosonic versus fermionic systems.