Quantum Dynamical Semigroups and Decoherence

الملخص EN

We prove a version of the Jacobs-de Leeuw-Glicksberg splitting theorem for weak* continuous one-parameter semigroups on dual Banach spaces.

This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence.

The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003).

We discuss this notion in some detail.