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TUT: Tutorials

TUT 2: Tutorial: Advanced Algorithms for Correlated Quantum Matter (TT)

TUT 2.1: Tutorium

Sonntag, 30. März 2014, 16:00–16:45, HSZ 04

DMRG and Entanglement Scaling — •Fabian Heidrich-Meisner — Ludwig-Maximilians-University Munich, Germany

This talk will provide an introduction to the density matrix renormalization group method which provides numerical access to many-body wave functions of quantum lattice models such as the Hubbard, Heisenberg, or the t-J model. The main idea is to approximate wave-functions through finite-dimensional matrix product states (MPS). The performance of the technique is intimately related to the entanglement encoded in the target wave-function. For gapped Hamiltonians with short range interactions, the so-called area law states that their ground states are only mildly entangled, permitting an efficient representation of many-body states using MPS in one dimension. The more difficult case of two-dimensional systems, critical systems in one dimension, and time-evolution will also be discussed.