# Exact Analytical Solution of the Driven Qutrit in an Open Quantum System: V and $\Lambda$ Configurations

## TL;DR

This paper derives an exact analytical solution for a driven qutrit in V and Λ configurations within an open quantum system, revealing regimes of transient gain, superluminal, and negative group velocities of the probe field.

## Contribution

It provides the first exact analytical solutions for driven qutrits in open systems and characterizes their optical response and group velocity regimes.

## Key findings

- Identified regimes of transient gain without inversion.
- Determined conditions for superluminal and negative group velocities.
- Derived exact solutions for the driven qutrit dynamics.

## Abstract

We obtain the exact analytical solution for the continuously driven qutrit in the V and $\Lambda$ configurations governed by the Lindblad master equation. We calculate the linear susceptibility in each system, determining regimes of transient gain without inversion, and identify exact parameter values for superluminal, vanishing, and negative group velocity for the probe field.