Entanglement sudden birth of two trapped ions interacting with a time-dependent laser field

TL;DR

This paper investigates the dynamics of quantum entanglement in two three-level trapped ions influenced by a time-dependent laser field, revealing how initial states affect entanglement survival.

Contribution

It introduces a detailed mathematical model for two multi-level ions with time-dependent center-of-mass motion, highlighting new features of entanglement behavior.

Findings

Entanglement survivability depends on initial state configurations.

Exact solutions for the system dynamics are derived.

Time-dependent motion influences entanglement evolution.

Abstract

We explore and develop the mathematics of the two multi-level ions. In particular, we describe some new features of quantum entanglement in two three-level trapped ions confined in a one-dimensional harmonic potential, allowing the instantaneous position of the center-of-mass motion of the ions to be explicitly time-dependent. By solving the exact dynamics of the system, we show how survivability of the quantum entanglement is determined by a specific choice of the initial state settings.