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Dimensional loss in nonequilibrium quantum systems.

Quantum steady state processes far from equilibrium can be characterized by wave functions whose coefficients (in a fixed basis) evolve onto a fractal set. This is explicitly shown for the prototypical situation of heat flow from hot to cold reservoirs, with two spin-1/2 particles in a thermal gradient. The resulting dimensional loss, induced by the nonequilibrium environment, is related to the quantum transport process.