# Thermalization with detailed-balanced two-site Lindblad dissipators

## TL;DR

This paper introduces a detailed-balanced two-site Lindblad dissipator method for generating thermal states and analyzing heat transport, demonstrating high accuracy in thermalization at large temperatures.

## Contribution

It proposes a novel variant of the Lindblad dissipator based on detailed balance, improving thermal state generation and characterization.

## Key findings

- Steady state approaches thermal equilibrium with less than 1% error at high temperatures.
- Effective temperatures from various observables are consistent.
- Decay of two-time correlations is analyzed.

## Abstract

The use of two-site Lindblad dissipator to generate thermal states and study heat transport raised to prominence since [J. Stat. Mech. (2009) P02035] by Prosen and \v{Z}nidari\v{c}. Here we propose a variant of this method based on detailed balance of internal levels of the two site Hamiltonian and characterize its performance. We study the thermalization profile in the chain, the effective temperatures achieved by different single and two-site observables, and we also investigate the decay of two-time correlations. We find that at a large enough temperature the steady state approaches closely a thermal state, with a relative error below 1% for the inverse temperature estimated from different observables.