Quantum speed limit time in relativistic frame

TL;DR

This paper explores how relativistic effects influence the quantum speed limit time in open quantum systems, revealing speed-up, non-monotonic, and slowing behaviors depending on damping parameters and channels.

Contribution

It provides a detailed analysis of relativistic effects on quantum speed limits in amplitude and phase damping channels, highlighting novel non-monotonic behaviors.

Findings

Relativistic effects speed up quantum evolution for certain damping parameters.

Quantum speed limit time exhibits non-monotonic behavior with acceleration.

Beyond specific damping thresholds, relativistic effects slow down quantum evolution.

Abstract

We investigate the roles of the relativistic effect on the speed of evolution of a quantum system coupled with amplitude damping channels. We find that the relativistic effect speed-up the quantum evolution to a uniform evolution speed of open quantum systems for the damping parameter $p_{\tau}\lesssim p_{\tau_{c0}}.$ Moreover, we point out a non-monotonic behavior of the quantum speed limit time (QSLT) with acceleration in the damping limit $p_{\tau_{c0}}\lesssim p_{\tau}\lesssim p_{\tau_{c1}},$ where the relativistic effect first speed-up and then slow down the quantum evolution process of the damped system. For the damping strength $p_{\tau_{c1}}\lesssim p_{\tau}$, we observe a monotonic increasing behavior of QSLT, leads to slow down the quantum evolution of the damped system. In addition, we examine the roles of the relativistic effect on the speed limit time for a system coupled with the phase damping channels.