The goal of this study is to clarify main sources of scientific and technological development. Data of publications and patents in quantum science and artificial intelligence are analyzed individually and, in their interaction, to examine related rates of growth over time. Results of technometric model reveal that quantum science and technology has a growth rate of 1.07, Artificial Intelligence ha a rate of growth of 1.37, whereas the interaction of quantum science and artificial intelligence fosters an accelerated rate of relative growth of 1.58, higher than scientific and technological systems taken individually. This result suggests that convergence and interaction between path-breaking research fields and technologies are one of the driving forces of scientific and technological development in turbulent ecosystems of science and technology of modern socioeconomic systems increasingly based on knowledge and information. Hence, these findings here clarify basic determinants of the evolution of research fields and technologies to guide the decision making of policymakers, technology analysts and R&D managers to direct R&D investments towards fruitful inter-relationships between path-breaking research fields and technologies that foster scientific and technological change in human society