Entanglement dynamics for uniformly accelerated two-level atoms in the presence of a reflecting boundary

TL;DR

This paper investigates how a reflecting boundary and acceleration influence entanglement dynamics between two-level atoms, revealing boundary-induced entanglement revival, preservation, and acceleration effects on entanglement evolution.

Contribution

It provides new insights into boundary and acceleration effects on entanglement, including conditions for revival, generation, and enhancement of entanglement in different atomic alignments.

Findings

Boundary can preserve initial entanglement close to it.

Entanglement revival depends on atomic polarization orientation.

Acceleration can delay entanglement birth and increase concurrence.

Abstract

We study the entanglement dynamics for two uniformly accelerated two-level atoms in interaction with a bath of fluctuating electromagnetic fields in vacuum in the presence of a reflecting boundary. We consider two different alignments of atoms, i.e. parallel and vertical alignments with respect to the boundary. In particular, we focus on the effects of the boundary, and acceleration on the entanglement dynamics, which are closely related to the orientations of polarization. For the parallel case, the initial entanglement of two transversely polarizable atoms very close to the boundary can be preserved as if it were a closed system, while for two vertically polarizable atoms, the concurrence evolves two times as fast as that in the free space. In the presence of a boundary, entanglement revival is possible for two atoms initially in the symmetric state depending on the orientations of the atomic polarizations, which is in sharp contrast to the fact that the concurrence always decays monotonically in the free space. Interestingly, two initially separable atoms, for which entanglement generation can never happen in the free space with any given acceleration and separation, can get entangled in the presence of a boundary if they are aligned parallel to the boundary. The birth time of entanglement can be noticeably advanced or postponed for the parallel two-atom system placed close to the boundary, while the maximal concurrence during evolution can be significantly enhanced when the atoms are vertically aligned. Moreover, two inertial atoms with different polarizations remain separable all the time, while as the acceleration increases, the delayed birth of entanglement happens, and the nonzero concurrence can be enhanced.