Non--Equilibrium Transport in Open Quantum Systems via Dynamically Constrained non--Hermitian Boundary Domains

TL;DR

This paper introduces a stable and accurate method for simulating non-equilibrium quantum transport in open systems using non-Hermitian boundary potentials and dynamic density constraints, improving simulation convergence.

Contribution

The novel approach combines non-Hermitian boundary potentials with dynamic density constraints to efficiently simulate steady states in quantum transport.

Findings

Method exhibits high stability and accuracy.

Negligible additional computational cost.

Effective convergence to steady states.

Abstract

The accurate simulation of real--time quantum transport is notoriously difficult, requiring a consistent scheme to treat incoming and outgoing fluxes at the boundary of an open system. We demonstrate a method to converge non--equilibrium steady states using non--Hermitian source and sink potentials alongside the application of dynamic density constraints during wavefunction propagation. This scheme adds negligible cost to existing computational methods while exhibiting exceptional stability and numerical accuracy.