# Charge and spin current statistics of the open Hubbard model with weak coupling to the environment

## TL;DR

This paper extends previous work to analyze charge and spin current statistics in the open Hubbard model with multiple baths, revealing universal behaviors in nonequilibrium quantum systems.

## Contribution

It generalizes the calculation of current statistics to the Hubbard model with multiple baths, up to next-to-leading order in weak coupling, indicating potential universality across models.

## Key findings

- Charge and spin current statistics computed for the open Hubbard model.
- Universal features observed in nonequilibrium behavior.
- Extension of methods from the XXZ model to Hubbard model.

## Abstract

Based on generalization and extension of previous work [Phys. Rev. Lett. {\bf 112}, 067201 (2014)] to multiple independent markovian baths we will compute the charge and spin current statistics of the open Hubbard model with weak system-bath coupling up to next-to-leading order in the coupling parameter. The physical results are related to those for the $XXZ$ model in the analogous setup implying a certain universality which potentially holds in this class of nonequilibrium models.