English

Elimination of the A-square problem from cavity QED

Quantum Physics 2014-02-25 v1

Abstract

We generalize the Power-Zineau-Woolley transformation to obtain a canonical Hamiltonian of cavity quantum electrodynamics for arbitrary geometry of boundaries. This Hamiltonian is free from the A-square term and the instantaneous Coulomb interaction between distinct atoms. The single-mode models of cavity QED (Dicke, Tavis-Cummings, Jaynes-Cummings) are justified by a term by term mapping to the proposed microscopic Hamiltonian. As one straightforward consequence, the basis of no-go argumentations concerning the Dicke phase transition with atoms in electromagnetic fields dissolves.

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Cite

@article{arxiv.1310.0694,
  title  = {Elimination of the A-square problem from cavity QED},
  author = {András Vukics and Tobias Grießer and Peter Domokos},
  journal= {arXiv preprint arXiv:1310.0694},
  year   = {2014}
}

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5 pages