RECENT PROGRESS IN THE DENSITY-MATRIXRENORMALIZATION GROUP

摘要

Over the last decade, the density-matrix renormalization group (DMRG) has emerged asthe most powerful method for the simulation of strongly correlated one-dimensional (1D)quantum systems. Input from quantum information has allowed to trace the method'sperformance to the entanglement properties of quantum states, revealing why it works sowell in 1D and not so well in 2D; it has allowed to devise algorithms for time-dependentquantum systems and, by clarifying the link between DMRG and Wilson's numericalrenormalization group (NRG), for quantum impurity systems.