Generation of long-living entanglement between two distant three-level atoms in non-Markovian environments

TL;DR

This paper proposes a scheme to generate long-lasting entanglement between two distant three-level atoms in non-Markovian environments, utilizing cavity coupling, classical driving, and Bell state measurement to overcome dissipation effects.

Contribution

It introduces a novel method for creating stable entanglement between distant atoms in dissipative, non-Markovian environments, with analytical solutions for entanglement evolution.

Findings

Long-living stationary entanglement can be achieved despite dissipation.

Manipulating classical field detunings controls entanglement duration.

Analytical solutions describe entanglement dynamics in non-Markovian settings.

Abstract

In this paper, a scheme for the generation of long-living entanglement between two distant {\Lambda}-type three-level atoms separately trapped in two dissipative cavities is proposed. In this scheme, two dissipative cavities are coupled to their own non-Markovian environments and two three-level atoms are driven by the classical fields. The entangled state between the two atoms is produced by performing Bell state measurement (BSM) on photons leaving the dissipative cavities. Using the time-dependent Sch\"ordinger equation, we obtain the analytical results for the evolution of the entanglement. It is revealed that, by manipulating the detunings of classical field, the long-living stationary entanglement between two atoms can be generated in the presence of dissipation