Stochastic Schr\"odinger Equation for a Non-Markovian Dissipative Qubit-Qutrit System

TL;DR

This paper develops an exact stochastic Schr"odinger equation for a non-Markovian qubit-qutrit system, enabling simulation of entanglement dynamics and steady state properties in open quantum systems.

Contribution

It introduces a novel quantum state diffusion equation for a hybrid qubit-qutrit system coupled to a bosonic bath, advancing non-Markovian quantum dynamics modeling.

Findings

Simulated entanglement decay and generation using the new QSD equation.

Analyzed steady state properties of the hybrid system.

Provided a framework for studying non-Markovian effects in complex quantum systems.

Abstract

We investigate the non-Markovian quantum dynamics of a hybrid open system consisting of one qubit and one qutrit by employing a stochastic Schr\"{o}dinger equation to generate diffusive quantum trajectories. We have established an exact quantum state diffusion (QSD) equation for the dissipative qubit-qutrit system coupled to a bosonic heat bath at zero temperature. As an important application, the non-Markovian QSD equation is employed to simulate the entanglement decay and generation measured by negativity. Finally, some steady state properties of the hybrid system are also discussed.