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

2015/09/30 by Justin E. Elenewski, Elenewski, Justin E., Yanxiang Zhao +3
Engineering · Physics and Astronomy · #Combustion and Detonation Processes #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Mechanics and Non-Hermitian Physics #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.1510.00031

openalex publication_date 2015/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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