Reducing entanglement with symmetries: application to persistent currents in impurity problems

Abstract

We show how canonical transformations can map problems with impurities coupled to non-interacting rings onto a similar problem with open boundary conditions. The consequent reduction of entanglement, and the fact the density matrix renormalization group (DMRG) is optimally suited for open boundary conditions, increases the efficiency of the method exponentially, making it an unprecedented tool to study persistent currents. We demonstrate its application to the case of the one-channel and two-channel Kondo problems, finding interesting connections between the two.