Stochastically bundled dissipators for the quantum master equation

TL;DR

This paper presents a stochastic bundling approach to simplify the simulation of open quantum systems governed by the Lindblad master equation, significantly reducing computational complexity while maintaining accuracy.

Contribution

It introduces a novel stochastic representation that bundles Lindblad operators, enabling efficient simulation of large open quantum systems.

Findings

Small number of bundled operators accurately model system dynamics

Method reduces computational complexity for large Hilbert spaces

Effective for systems like Morse oscillator with spin baths

Abstract

The Lindblad master equation is a fundamental tool for describing the evolution of open quantum systems, but its computational complexity poses a significant challenge, especially for large systems. This article introduces a stochastic representation of the Lindblad dissipator that addresses this challenge by bundling the Lindblad operators. We demonstrate the effectiveness of this method by considering a Morse oscillator coupled to a spin bath. Our numerical experiments show that a small number of stochastically bundled operators can accurately capture the system's dynamics, even when the Hilbert space dimension is large. This method offers a new perspective on open quantum systems and provides a computationally efficient way to simulate their dynamics.