Engineered dissipation produces topologically degenerate steady states that form a stable many-body phase in three dimensions but not two.
Henkel, Statistical mechanics of the 2d quantum xy model in a transverse field, Journal of Physics A: Mathematical and General 17, L795 (1984)
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Topologically Ordered Steady States in Open Quantum Systems
Engineered dissipation produces topologically degenerate steady states that form a stable many-body phase in three dimensions but not two.