Tensor product methods and entanglement optimization for ab initio quantum chemistry

Autor(en)

Szilard Szalay, Max Pfeffer, Valentin Murg, Gergely Barcza, Frank Verstraete, Reinhold Schneider, Oers Legeza

Abstrakt

The treatment of high-dimensional problems such as the Schrödinger equation can be approached by concepts of tensor product approximation. We present general techniques that can be used for the treatment of high-dimensional optimization tasks and time-dependent equations, and connect them to concepts already used in many-body quantum physics. Based on achievements from the past decade, entanglement-based methods - developed from different perspectives for different purposes in distinct communities already matured to provide a variety of tools - can be combined to attack highly challenging problems in quantum chemistry. The aim of the present paper is to give a pedagogical introduction to the theoretical background of this novel field and demonstrate the underlying benefits through numerical applications on a text book example. Among the various optimization tasks, we will discuss only those which are connected to a controlled manipulation of the entanglement which is in fact the key ingredient of the methods considered in the paper. The selected topics will be covered according to a series of lectures given on the topic "New wavefunction methods and entanglement optimizations in quantum chemistry" at the Workshop on Theoretical Chemistry, February 18-21, 2014, Mariapfarr, Austria.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Magyar Tudományos Akadémia, Technische Universität Berlin

Journal

International Journal of Quantum Chemistry

Band

115

Seiten

1342-1391

Anzahl der Seiten

50

ISSN

0020-7608

DOI

https://doi.org/10.1002/qua.24898

Publikationsdatum

10-2015

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

ASJC Scopus Sachgebiete

Condensed Matter Physics, Atomic and Molecular Physics, and Optics, Physical and Theoretical Chemistry

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/cfdc4b20-b027-4406-ab04-86d4a3d618f6