The field-induced interaction between non-resonant magnetic dipoles

@article{Hu2019TheFI,
  title={The field-induced interaction between non-resonant magnetic dipoles},
  author={Fang-qi Hu and Qing-Guo Zhao and Shengming Li},
  journal={arXiv: Quantum Physics},
  year={2019}
}
We make a general derivation for the magnetic dipole-dipole interaction based on the mediation of the quantized electro-magnetic field. Due to the interaction with the dipoles, the dynamics of the field is added by a dipole field, which finally gives rise to the dipole-dipole interaction. Different from previous studies, the rotating-wave-approximation is no longer needed throughout this derivation, and our result naturally gives the interaction for non-resonant dipoles. Moreover, our… 
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