Dynamical simulation of transport in one-dimensional quantum wires

TL;DR

This paper introduces a quantum Monte Carlo method to simulate transport in one-dimensional quantum wires, enabling direct calculation of conductance and noise, and explores low-temperature conductance scaling.

Contribution

It presents a novel stochastic real-time path integration technique for nonequilibrium quantum transport simulations in Luttinger liquids.

Findings

Accurate computation of conductance and noise properties.

Observation of low-temperature conductance scaling behavior.

Validation of the method against known theoretical predictions.

Abstract

Transport of single-channel spinless interacting fermions (Luttinger liquid) through a barrier has been studied by numerically exact quantum Monte Carlo methods. A novel stochastic integration over the real-time paths allows for direct computation of nonequilibrium conductance and noise properties. We have examined the low-temperature scaling of the conductance in the crossover region between a very weak and an almost insulating barrier.