Interplay of collective and short-range interactions on critical phenomena 

There has been considerable recent attention on studying the effects of strong light-matter couplings on quantum many-body systems in both AMO and condensed matter systems. The Dicke-Ising model provides a minimal setting for exploring the interplay of collective couplings and local interactions in a quantum many-body system. We investigate the implications for critical phenomena in one dimension. In particular, using a combination of analytical and numerical methods, we describe how the universality class governing the Ising model evolves to the different universality class of the Dicke model. Our work helps pave the way for future experimental and theoretical research in non-local quantum many-body systems and establishes the Dicke-Ising model as a relatively simple yet rich setting to explore such physics.