Superadiabatic Shortcuts for Fast Generating Two-Atom Four-Dimensional Entanglement

We propose a scheme for rapidly generating two-atom four-dimensional entanglement based on superadiabatic shortcuts. In the scheme, the counterdiabatic Hamiltonian has the same form as that of the effective Hamiltonian, and the scheme avoids the disadvantage of the invariants-based scheme Dong et al. (Int. J. Theor. Phys. 57, 3149-3162, 2018), so the scheme is more feasible in experiment. In addition, numerical simulation results show that the scheme is robust against decoherence and variations in various parameters, and the two atoms four-dimensional entanglement can be generated with high fidelity.