# Generic Construction of Efficient Matrix Product Operators

Claudius Hubig, LMU

09.11.2016 at 14:00

Matrix Product Operators (MPOs) are at the heart of the second-generation Density Matrix Renormalisation Group (DMRG) algorithm formulated in Matrix Product State language. We give an introduction to arithmetic with general MPOs and compression of general MPOs. We show that it is possible to construct optimal representations of a wide class of Hamiltonians using the method, including powers of short-range one-dimensional Hamiltonians, Hamiltonians for two- dimensional systems and as a proof of principle, the long-range four-body Hamiltonian from

quantum chemistry.

A 449, Theresienstr. 37