New trends in density matrix renormalization

摘要: The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for very precise calculation of static, dynamic thermodynamic properties. Its field applicability now extended beyond Condensed Matter, it is successfully used in Quantum Chemistry, Statistical Mechanics, Information Theory, Nuclear High Energy Physics as well. In this article, we briefly review the main aspects present some most relevant applications so give an overview on scope possibilities DMRG. We focus important extensions such dynamical properties, application classical systems, finite temperature simulations, phonons disorder, theory, time-dependent properties ab initio electronic states molecules. recent quantum information interpretation, development highly accurate algorithms possibility using DMRG impurity-solver Dynamical Mean Field Method (DMFT) new insights into its potential uses. numerous these techniques where shown one reliable versatile methods modern computational physics.