Spectral functions in one-dimensional quantum systems at T>0
Abstract
We present for the first time time-dependent density-matrix renormalization-group simulations (t-DMRG) at finite temperatures. It is demonstrated how a combination of finite-temperature t-DMRG and time-series prediction allows for an easy and very accurate calculation of spectral functions in one-dimensional quantum systems, irrespective of their statistics, for arbitrary temperatures. This is illustrated with spin structure factors of XX and XXX spin-1/2 chains. For the XX model we can compare against an exact solution and for the XXX model (Heisenberg antiferromagnet) against a Bethe Ansatz solution and quantum Monte Carlo data.
Keywords
Cite
@article{arxiv.0901.2342,
title = {Spectral functions in one-dimensional quantum systems at T>0},
author = {Thomas Barthel and Ulrich Schollwöck and Steven R. White},
journal= {arXiv preprint arXiv:0901.2342},
year = {2009}
}
Comments
6 pages, 8 figures; added comparison to quantum Monte Carlo, extended discussion of the method, 4 figures added; published version