Quantum simulation of manybody effects in steady-state nonequilibrium: electron-phonon coupled quantum dots

TL;DR

This paper introduces a method to simulate many-body effects in quantum dots under steady-state nonequilibrium by mapping the problem to an effective equilibrium, enabling the use of established quantum simulation techniques.

Contribution

It presents a novel approach to handle nonequilibrium steady-state problems in quantum transport by reformulating them as effective equilibrium problems.

Findings

Demonstrates transport behaviors like phonon-dephasing and I-V staircase.

Shows phonon-assisted tunneling phenomena.

Enables systematic quantum manybody simulations in nonequilibrium.

Abstract

We develop a mapping of quantum steady-state nonequilibrium to an effective equilibrium and solve the problem using a quantum simulation technique. A systematic implementation of the nonequilibrium boundary condition in steady-state is made in the electronic transport on quantum dot structures. This formulation of quantum manybody problem in nonequilibrium enables the use of existing numerical quantum manybody techniques. The algorithm coherently demonstrates various transport behaviors from phonon-dephasing to I-V staircase and phonon-assisted tunneling.