Abstract
We give an algebraic condition in order that a completely positive dynamical semigroup of an N-level system has a unique (invariant) equilibrium state and that every initial state approaches this equilibrium state as t →∞. We apply our result to a semigroup arising in the weak coupling limit.
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Spohn, H. An algebraic condition for the approach to equilibrium of an open N-level system. Lett Math Phys 2, 33–38 (1977). https://doi.org/10.1007/BF00420668
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DOI: https://doi.org/10.1007/BF00420668