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Abstract:
We investigate the influence of light-matter interactions on correlated quantum matter by studying the
paradigmatic Dicke-Ising model. This type of coupling to a confined, spatially delocalized bosonic light mode,
such as provided by an optical resonator, resembles a quantized transverse magnetic field of tunable strength. As
a consequence, the symmetry-broken magnetic state breaks down for strong enough light-matter interactions to
a paramagnetic state. The nonlocal character of the bosonic mode can change the quantum phase transition in
a drastic manner, which we analyze quantitatively for the simplest case of the Dicke-Ising chain geometry.
The results show a direct transition between a magnetically ordered phase with zero photon density and a
magnetically polarized phase with superradiant behavior of the light. Our predictions are equally valid for the
dual quantized Ising chain in a conventional transverse magnetic field.
