Eberly's research interests included
cavity quantum electrodynamics (QED),
quantum information, control of non-classical
entanglement, the response of
atoms to high-intensity optical pulses, and coherent
control theory of optical interactions. In 1995, he founded the Rochester Theory Center for Optical Science and Engineering (RTC) with funding from the
National Science Foundation. In a 1966 paper on electron
self-energy, he revealed aspects of the
Higgs mechanism in
electrodynamics, demonstrating how
massless particles can acquire mass through interaction with the Higgs field. Additionally, Eberly studied
atomic vapor laser isotope separation. In 2003, he discovered the phenomenon of
crystallization in time for highly excited states of atoms. This phenomenon shows the existence of
fermion densities that are perpetually and perfectly periodic in time, and is comparable to the anomalous conductivity improvement in the
Kondo effect. He made early predictions of the phenomenon of the
Above Threshold Ionization (ATI) and the highly energetic electron emissions in one-dimensional atom models. He also observed a similar phenomenon in the emission of highly energetic
deuterium nuclei from the ultra-cold strong
laser driven deuterium droplet clusters. These clusters are considered alike to giant atom with
deuterons acting as heavy electrons, and the electrons acting as their
gluons or nucleus. Eberly also observed the
cold-hot
nuclear fusion in such systems. ==Death and legacy==