Efficient mapping for Anderson impurity problems with matrix product states
Lucas Kohn, Giuseppe E. Santoro
Abstract
We propose an efficient algorithm to numerically solve Anderson impurity problems using matrix product states. By introducing a modified chain mapping we obtain significantly lower entanglement, as compared to all previous attempts, while keeping the short-range nature of the couplings. Employing a thermofield transformation, our approach naturally extends to finite temperatures, with applications to dynamical mean field theory, nonequilibrium dynamics, and quantum transport.
Topics & Concepts
Quantum entanglementStatistical physicsImpurityNon-equilibrium thermodynamicsAnderson impurity modelMatrix (chemical analysis)Matrix multiplicationProduct (mathematics)PhysicsQuantumTransformation (genetics)Range (aeronautics)Field (mathematics)Quantum mechanicsMathematicsMaterials sciencePure mathematicsChemistryGeometryBiochemistryGeneComposite materialQuantum many-body systemsQuantum and electron transport phenomenaPhysics of Superconductivity and Magnetism