Quantum dynamical semigroups for finite and infinite Bose systems
Ph. Blanchard, Mario Hellmich, Piotr Ługiewicz, Robert Olkiewicz · Journal of Mathematical Physics · 2007
A new class of quasifree quantum Markov semigroups on C*-algebras of canonical commutation relations is introduced and discussed. Two applications to decoherence in the Heisenberg representation are given. In the first one the dynamical semigroup which leads to the appearance of decoherence induced superselection rules corresponding to the boundary conditions of a quantum particle in a finite interval is considered. The second example analyzes the possibility of the transition from infinite systems to systems with a finite number of degrees of freedom.