Quantum speed limit of a non-decoherent open system

TL;DR

This paper investigates the quantum speed limit for open quantum systems, analyzing how interaction strength and initial states influence the minimum evolution time in both short and long time regimes.

Contribution

It introduces a simple model to compare quantum speed limits for different environmental states and interaction strengths, highlighting their impact on system evolution.

Findings

Short time behavior varies significantly with interaction strength.

Different environmental states affect the quantum speed limit.

The model provides insights into non-decoherent open system dynamics.

Abstract

We study the minimum time related to the quantum speed limit that characterizes the evolution of an open quantum system with the help of a simple model in the short and long time limits. We compare in particular the situation corresponding to a unique state and several states in the environment space. For short time intervals the results show a sensible difference in the behaviour of the system for different strengths of the interaction between the system and its environment.