Preparation of three-dimensional entanglement for distant atoms in coupled cavities via atomic spontaneous emission and cavity decay
Shi-Lei Su, Xiao-Qiang Shao, Hong-Fu Wang, and Shou Zhang

TL;DR
This paper presents a dissipative method to generate high-dimensional entanglement between two atoms in separate cavities, leveraging atomic spontaneous emission and cavity decay as resources, improving over traditional unitary schemes.
Contribution
It introduces a novel dissipative approach that uses atomic spontaneous emission and cavity decay to efficiently prepare three-dimensional entanglement without precise initial states or timing.
Findings
Scheme achieves high-dimensional entanglement with realistic parameters
Performance surpasses traditional unitary-dynamics-based schemes
No need for precise initial state or timing control
Abstract
We propose a dissipative scheme to prepare a three-dimensional entangled state for two atoms trapped in separate coupled cavities. Our work shows that both atomic spontaneous emission and cavity decay, which are two typical obstacles in unitary-dynamics-based schemes, could be utilized as resources for high-dimensional entangled state preparation without specifying initial state and controlling time precisely. Final numerical simulation with one group of experimental parameters indicates that the performance of our scheme is better than the unitary-dynamics-based scheme.
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