# Quantum state of the fermionic carriers in a transport channel connecting particle reservoirs

## TL;DR

This paper investigates the quantum state of fermionic carriers in a transport channel connected to particle reservoirs, using microscopic models and master equations, to predict carrier states under various reservoir conditions.

## Contribution

It introduces a first-principles approach combining microscopic models and master equations to analyze fermionic quantum states in transport channels.

## Key findings

- Numerical simulations agree with master equation solutions at infinite temperature.
- The approach predicts quantum states when connecting reservoirs with different chemical potentials.

## Abstract

We analyze quantum state of fermionic carriers in a transport channel attached to a particle reservoir. The analysis is done from the first principles by considering microscopic models of the reservoir and transport channel. In the case of infinite effective temperature of the reservoir we demonstrate a full agreement between the results of straightforward numerical simulations of the system dynamics and solution of the specified master equation on the single-particle density matrix of the carriers in the channel. This allows us to predict the quantum state of carriers in the case where transport channel connects two reservoirs with different chemical potentials.