Abstract We discuss several aspects concerning the asymptotic dynamics of discrete-time semigroups associated with a quantum channel. By using an explicit expression map, which describes action channel on its attractor manifold, we investigate role permutations in dynamics. show that, general, they make evolution non-unitary, and are related to divisibility Also, derive results about asymptotic...

Asymptotics and functional form of correlators in the XX-spin chain of finite length. Abstract We verify the functional form of the asymptotics of the spin-spin equal-time correlation function for the XX-chain, predicted by the hypothesis of conformal invariance at large distances and by the bosonization procedure. We point out that bosonization pocedure also predicts the functional form of the...