When Bob orbits Alice: entanglement harvesting in circular motion

Abstract

We study radiative processes of two qubits coupled to a massless scalar field prepared in the Minkowski vacuum state. The analyze the effects of vacuum fluctuations in the generation of qubits' entangled states is performed. We assume one of the qubits is at rest in an inertial frame while the other comoves with a uniformly rotating frame, i.e., undergoing circular motion. We investigate how the entanglement harvesting phenomenon depends on the radius and angular velocity of the non-inertial qubit. We compute the concurrence and mutual information to identify the set of circular motion parameters that maximizes entanglement generation.

Figures (4)

• Figure 1: Diagram representing two atoms: the atom 1 and the atom 2. Alice is at the center of the coordinate system at a distance $R$ of Bob, which rotates in a circular motion around Alice.
• Figure 2: (a) Transition probability $\mathcal{L}_{AA}/\lambda^2$ as a function of the energy gap $E\sigma$. (b) The term $( \mathcal{L}_{BB} - \mathcal{L}_{AA})/\lambda^2$ as a function of $E\sigma$ with $\Omega \sigma = 0.2$. Different values of $R/\sigma$ are represented by the different colors.
• Figure 3: (a) Concurrence $C_{AB}/\lambda^2$ with $\Omega \sigma = 0.1$ where the red line represent where $|\mathcal{M}| = \sqrt{\mathcal{L}_{AA} \mathcal{L}_{BB}}$ and the white region where $C_{AB} = 0$. (b) Mutual information $\mathcal{I}_{AB}/\lambda^2$ with $\Omega \sigma = 0.1$.
• Figure 4: Concurrence $C_{AB}/\lambda^2$ with $\Omega \sigma = 0.2$ where the red line represent where $|\mathcal{M}| = \sqrt{\mathcal{L}_{AA} \mathcal{L}_{BB}}$.