One-step generation of four-dimensional entanglement via adiabatic passage in cavity quantum electrodynamics

A scheme is proposed for generating a four-dimensional entangled state for two atoms trapped in a cavity by one step via adiabatic passage. The scheme does not need the exact control of the experimental parameters and the evolution time. Its predominant decohence factor depends on the magnitude of classical Rabi frequencies, therefore, there exists a reasonable value range of Rabi frequencies of the classical fields. Numerical simulation indicates that the excited probabilities of the atoms and the cavity modes are very small, so the scheme is very robust against decoherence. The four-dimensional entanglement can be generated with a high fidelity with present technique.