Time evolution of Renyi entropy under the Lindblad equation

TL;DR

This paper investigates how Renyi entropy evolves over time under the Lindblad equation, providing a general formula for its lower bound on the entropy rate, relevant for quantum critical states and entanglement analysis.

Contribution

It introduces a compact general formula for the lower bound on the Renyi entropy rate during time evolution under the Lindblad equation.

Findings

Derived a general lower bound formula for Renyi entropy rate

Applicable to quantum critical states and entanglement characterization

Enhances understanding of entropy dynamics in open quantum systems

Abstract

In recent years, the Renyi entropy has repeatedly been discussed for characterization of quantum critical states and entanglement. Here, time evolution of the Renyi entropy is studied. A compact general formula is presented for the lower bound on the entropy rate.