Quantum Zeno Effect in Open Quantum Systems

Abstract We prove the quantum Zeno effect in open systems whose evolution, governed by dynamical semigroups, is repeatedly and frequently interrupted action of a operation. For case semigroup with bounded generator, our analysis leads to refinement existing results extends them larger class operations. also existence novel strong limit for operations which certain spectral gap assumption, all previous relied on, lifted. The are instead required satisfy weaker property power-convergence. In addition, we establish, first time, unbounded generators. provide variety physically interesting examples apply.