Protection of Entanglement in the presence of Markovian or Non-Markovian Environment via particle velocity : Exact Results

TL;DR

This paper analytically investigates how particle velocity can protect quantum entanglement in Markovian and non-Markovian environments, affecting phenomena like entanglement sudden death and revival, and compares this mechanism with detuning-based protection.

Contribution

It introduces a novel analytical framework showing how particle velocity influences entanglement dynamics and offers a new method for entanglement protection in quantum systems.

Findings

Particle velocity extends the duration of entanglement in non-Markovian environments.

Small velocities can suppress entanglement revival phenomena.

High velocities diminish oscillatory entanglement behavior.

Abstract

On the analytic ground we examine a physical mechanism how particle velocity can protect an entanglement when quantum system is embedded in Markovian or non-Markovian environment. In particular the effect of particle velocity is examined in the entanglement sudden death (ESD) and revival of entanglement (ROE) phenomena. Even though particles move fast, the ESD phenomenon does not disappear if it occurs at zero velocity. However the time domain $0 \leq t \leq t_*$ for nonvanishing entanglement becomes larger and larger with increasing velocity. When ROE phenomenon occurs at zero velocity, even small velocity can make this phenomenon not to occur although the oscillatory behavior of entanglement in time is maintained. For comparatively large velocity the amplitude of the oscillatory behavior becomes extremely small. In this way the entanglement can be protected by particle velocity. The protection of entanglement via velocity is compared with that via the detuning parameter.