Wandering range of robust quantum symmetries

Source abstract

Abstract This paper introduces the concept of the wandering range of a robust symmetry S of a Hamiltonian H . This quantity measures how the perturbed time evolution e i t ( H + ε V ) S e − i t ( H + ε V ) deviates from its unperturbed counterpart e i t H S e − i t H = S . Although the wandering range does not necessarily scale linearly with the perturbation strength ε , we identify conditions under which this linear behavior is recovered and we obtain explicit nonperturbative bounds.