Spectral functions in one-dimensional quantum systems at T>0

TL;DR

This paper introduces a novel method combining finite-temperature t-DMRG and time-series prediction to accurately compute spectral functions in one-dimensional quantum systems at various temperatures, validated against exact and numerical solutions.

Contribution

The authors develop and demonstrate a new approach for calculating spectral functions at finite temperature using t-DMRG combined with time-series prediction, applicable to different quantum statistics.

Findings

Accurate spectral functions obtained for XX and XXX spin-1/2 chains.

Validation against exact solutions and quantum Monte Carlo data.

Method effective across a range of temperatures.

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.