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NMR Hamiltonian as an effective Hamiltonian to generate Schrödinger's cat states

This report experimentally demonstrates that the theoretical background of the atom-field scenario points out that the NMR quadrupolar Hamiltonian works as an effective Hamiltonian to generate Schrödinger's cat states in a $2I+1$ low dimensional Hilbert space. The versatility of this nuclear spin setup is verified by monitoring the $^{23}$Na nucleus of a lyotropic liquid crystal sample at the nematic phase. The quantum state tomography and the Wigner quasiprobability distribution function are performed to characterize the accuracy of the experimental implementation.