Quantum process tomography is used to fully characterize the evolution of the quantum vibrational state of atoms. Rubidium atoms are trapped in a shallow optical lattice supporting only two vibrational states, which we charcterize by reconstructing the 2x2 density matrix. Repeating this process for a complete set of inputs allows us to completely characterize both the system's intrinsic decoherence and resonant coupling.
@article{arxiv.quant-ph/0312210,
title = {Quantum Process Tomography on Vibrational States of Atoms in an Optical Lattice},
author = {S. H. Myrskog and J. K. Fox and M. W. Mitchell and A. M. Steinberg},
journal= {arXiv preprint arXiv:quant-ph/0312210},
year = {2007}
}