English

The Ising model in a light-induced quantized transverse field

Strongly Correlated Electrons 2020-05-13 v2

Abstract

We investigate the influence of light-matter interactions on correlated quantum matter by studying the paradigmatic Ising model subject to a quantum Rabi coupling. 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-mater interactions to a paramagnetic state. The non-local character of the bosonic mode can change the quantum phase transition in a drastic manner, which we analyze quantitatively for the simplest case of a chain geometry (Dicke-Ising chain). The results show a direct transition between a magnetically ordered phase with zero photon density and a magnetically polarized phase with lasing behaviour of the light. Our predictions are equally valid for the dual quantized Ising chain in a conventional transverse magnetic field.

Keywords

Cite

@article{arxiv.2003.05804,
  title  = {The Ising model in a light-induced quantized transverse field},
  author = {J. Rohn and M. Hörmann and Claudiu Genes and K. P. Schmidt},
  journal= {arXiv preprint arXiv:2003.05804},
  year   = {2020}
}

Comments

17 pages, 6 figures

R2 v1 2026-06-23T14:12:51.651Z