# Quantum thermostatted disordered systems and sensitivity under compression

## TL;DR

This paper investigates how compression affects electron transmission in a disordered quantum system, proposing a numerical simulation method and analyzing the system's convergence, fluctuations, and potential for sensor design.

## Contribution

It introduces a numerical approach for simulating large disordered quantum systems and analyzes the impact of compression on transmission, including convergence and fluctuation behaviors.

## Key findings

- Compression decreases transmission coefficient.
- Disordered systems converge to periodic systems as size increases.
- Large fluctuations and rate functions are characterized.

## Abstract

A one-dimensional quantum system with off diagonal disorder, consisting of a sample of conducting regions randomly interspersed within potential barriers is considered. Results mainly concerning the large $N$ limit are presented. In particular, the effect of compression on the transmission coefficient is investigated. A numerical method to simulate such a system, for a physically relevant number of barriers, is proposed. It is shown that the disordered model converges to the periodic case as $N$ increases, with a rate of convergence which depends on the disorder degree. Compression always leads to a decrease of the transmission coefficient which may be exploited to design nano-technological sensors. Effective choices for the physical parameters to improve the sensitivity are provided. Eventually large fluctuations and rate functions are analysed.