A Gaussian-Cat Qubit in an Optical Tweezer

We propose a method to realise cat-state qubits as the degenerate ground states of an atom confined in a driven optical tweezer with time-modulated intensity. The intrinsic higher-order nonlinearity of the Gaussian trapping potential induces a splitting between the cat-state manifolds of the qubit and higher excited states, thereby suppressing leakage out of the computational subspace. State preparation is achieved by displacing the trap to generate a coherent state, followed by intensity modulation that stabilizes it along the X-axis of the Bloch sphere. Single-qubit rotations are implemented via controlled shaking of the tweezer, and readout is performed through time-of-flight tomography.