Real time evolution at finite temperatures with operator space matrix product states

Autor(en)

Iztok Pizorn, Viktor Eisler, Sabine Andergassen, Matthias Troyer

Abstrakt

We propose a method to simulate the real time evolution of one-dimensional quantum many-body systems at finite temperature by expressing both the density matrices and the observables as matrix product states. This allows the calculation of expectation values and correlation functions as scalar products in operator space. The simulations of density matrices in inverse temperature and the local operators in the Heisenberg picture are independent and result in a grid of expectation values for all intermediate temperatures and times. Simulations can be performed using real arithmetics with only polynomial growth of computational resources in inverse temperature and time for integrable systems. The method is illustrated for the XXZ model and the single impurity Anderson model.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Eidgenössische Technische Hochschule Zürich

Journal

New Journal of Physics

Band

16

Anzahl der Seiten

10

ISSN

1367-2630

DOI

https://doi.org/10.1088/1367-2630/16/7/073007

Publikationsdatum

07-2014

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/72fd19b2-4f15-49e4-bac1-c8ba355309a7