Cavity QED with quantum gases: new paradigms in many-body physics

@article{Mivehvar2021CavityQW,
  title={Cavity QED with quantum gases: new paradigms in many-body physics},
  author={Farokh Mivehvar and Francesco Piazza and Tobias Donner and Helmut Ritsch},
  journal={Advances in Physics},
  year={2021},
  volume={70},
  pages={1 - 153}
}
We review the recent developments and the current status in the field of quantum-gas cavity QED. Since the first experimental demonstration of atomic self-ordering in a system composed of a Bose–Einstein condensate coupled to a quantized electromagnetic mode of a high-Q optical cavity, the field has rapidly evolved over the past decade. The composite quantum-gas-cavity systems offer the opportunity to implement, simulate, and experimentally test fundamental solid-state Hamiltonians, as well as… 

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