Quantum Dynamical Semigroups and Decoherence
Mario Hellmich · Advances in Mathematical Physics · 2011
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.