We propose a scheme to generate the generalized two-mode Schrödinger cat state for two optical fields coupled to a three-level atom. The scheme is based on the competition between the unitary dynamics induced by a classical driving and the field-atom coupling. Under the condition of strong ground-state coupling, the two-mode displaced Schrödinger's cat state can be successfully prepared by adjusting the coupling strength between the classical laser and the atom to be much larger than that between the two fields and the atom. Furthermore, by choosing different initial states, it is also possible to prepare a maximally three-dimensional entangled state through strong ground-state coupling. To rigorously assess its feasibility, we have also analyzed the scheme's robustness against dissipation, confirming its practicality under realistic noise and identifying a broad, experimentally accessible parameter “sweet spot.” Our proposal provides insights into the area of multimode Schrödinger cat states.

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• Cavity quantum electrodynamics
• Quantum optics
• Laser systems
• Quantum cavities