# Asymmetric Heat Transport in Ion Crystals

## TL;DR

This paper demonstrates heat rectification in ion chains with graded trapping frequencies using a fast algebraic approach to find stationary states, advancing understanding of thermal transport in ion trap systems.

## Contribution

It introduces a novel, efficient algebraic method to compute stationary states for heat transport in ion chains, enabling faster analysis of thermal rectification.

## Key findings

- Heat rectification observed in ion chains with graded traps
- Algebraic method significantly reduces computation time
- Potential applications in thermal management and quantum devices

## Abstract

We numerically demonstrate heat rectification for linear chains of ions in trap lattices with graded trapping frequencies, in contact with thermal baths implemented by optical molasses. To calculate the local temperatures and heat currents we find the stationary state by solving a system of algebraic equations. This approach is much faster than the usual method that integrates the dynamical equations of the system and averages over noise realizations.