# Introducing Enhanced Transport to the Effective Hamiltonian Approach via Random Matrices with a Pair of Connecting States

## TL;DR

This paper enhances the effective Hamiltonian approach with random matrices to model and analyze the stability of wireless chip-to-chip communication channels, accounting for environmental influences.

## Contribution

It introduces an improved method combining random matrix theory with a specific Hamiltonian modification to better predict transport stability in complex environments.

## Key findings

- Enhanced transport path improves communication stability predictions.
- The approach accurately models environmental effects on wireless channels.
- Predictions show increased environmental influence reduces transmission reliability.

## Abstract

Direct transport processes play an important role in wireless communications where an ideal setup uses microwave fields to establish reliable communication channels between transmitter and receiver. But it is inherent to the problem that one cannot fully control the environment. While the influence of a complex scattering surrounding can be very well described using Random Matrix Theory it is not always obvious how to combine this universal approach with concrete communication channels. In this work we present an approach introducing an enhanced path between two antennas to the Hamilton operator to account for a prototypical problem. In order to be able to describe the stability of wireless chip-to-chip communication, we analyze the transport properties and predict the stability of the transmission under increasing importance of the environment.