# Simulation methods for open quantum many-body systems

## TL;DR

This paper reviews various computational methods for simulating open quantum many-body systems, emphasizing recent progress in handling large systems and their steady states.

## Contribution

It provides a comprehensive overview of recent simulation techniques tailored for open quantum systems, highlighting advancements over traditional methods for closed systems.

## Key findings

- Recent methods enable simulation of larger systems.
- Progress in understanding steady states of open systems.
- Advances in relaxation dynamics modeling.

## Abstract

Coupling a quantum many-body system to an external environment dramatically changes its dynamics and offers novel possibilities not found in closed systems. Of special interest are the properties of the steady state of such open quantum many-body systems, as well as the relaxation dynamics towards the steady state. However, new computational tools are required to simulate open quantum many-body systems, as methods developed for closed systems cannot be readily applied. We review several approaches to simulate open many-body systems and point out the advances made in recent years towards the simulation of large system sizes.