NMR Hamiltonian as an effective Hamiltonian to generate Schr\"{o}dinger's cat states

TL;DR

This paper demonstrates experimentally that the NMR quadrupolar Hamiltonian can effectively generate Schrödinger's cat states in a low-dimensional Hilbert space, using a $^{23}$Na nucleus in a liquid crystal sample.

Contribution

It shows that the NMR quadrupolar Hamiltonian acts as an effective Hamiltonian for creating Schrödinger's cat states in a nuclear spin system.

Findings

Successful generation of Schrödinger's cat states in a $2I+1$ Hilbert space.

Quantum state tomography confirms the accuracy of the generated states.

Wigner quasiprobability distribution illustrates the quantum superpositions.

Abstract

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 Schr\"{o}dinger'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.