Real time evolution using the density matrix renormalization group

TL;DR

This paper introduces an extension to the density matrix renormalization group method that enables real-time evolution, facilitating the study of non-equilibrium transport and frequency-dependent correlations in quantum systems.

Contribution

The authors develop a novel extension of DMRG that incorporates real-time evolution, allowing for dynamic simulations of out-of-equilibrium quantum phenomena.

Findings

Successfully simulated a scattering process in a spin chain

Demonstrated the method's ability to handle non-local entanglement

Applied the technique to frequency-dependent correlation functions

Abstract

We describe an extension to the density matrix renormalization group method incorporating real time evolution into the algorithm. Its application to transport problems in systems out of equilibrium and frequency dependent correlation functions is discussed and illustrated in several examples. We simulate a scattering process in a spin chain which generates a spatially non-local entangled wavefunction.