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Journal Article

Ising model in a light-induced quantized transverse field


Genes,  Claudiu
Genes Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;
Department of Physics, FAU Erlangen-Nuremberg;

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Rohn, J., Hörmann, M., Genes, C., & Schmidt, K. P. (2020). Ising model in a light-induced quantized transverse field. Physical Review Research, 2: 023131. doi:10.1103/PhysRevResearch.2.023131.

Cite as: https://hdl.handle.net/21.11116/0000-0005-E42A-B
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.